AdS/CFT correspondence and quantum induced dilatonic multi-brane-worlds

Revista Mexicana de Fisica

Volumn 49, Issue SUPPL. 1, 2003, Pages 38-43

  Nojiri, Shin'ichi ^a   Odintsov, Sergei D ^b,c  

^a NATIONAL DEFENSE ACADEMY   (Japan)

^b UNIVERSITY OF GUANAJUATO   (Mexico)

^c TOMSK STATE PEDAGOGICAL UNIVERSITY   (Russian Federation)

Author keywords

AdS CFT correspondence; Dilatonic fields

Indexed keywords

EID: 0038034944     PISSN: 0035001X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (60)

1. L. Randall and R. Sundrum, Phys. Rev. Lett. 83 (1999) 3370, hep-th/9905221.
2. L. Randall and R. Sundrum, Phys. Rev. Lett. 83 (1999) 4690, hep-th/9906064.
3. A. Chamblin and H.S. Reall, Nucl. Phys. B 562 (1999) 133, hep-th/9903225; N. Kaloper, Phys. Rev. D 60 (1999) 123506, hep-th/9905210; A. Lukas, B. Ovrut, and D. Waldram, Phys. Rev. D 61 (2000) 064003, hep-th/9902071; T. Nihei, Phys. Lett. B 465 (1999) 81, hep-th/9905487; H. Kim and H. Kim, Phys. Rev. D 61 (2000) 064003, hep-th/9909053; D. Chung and K. Freese, Phys. Rev. D 61 (2000) 023511; J. Garriga and M. Sasaki, hep-th/9912118; K. Koyama and J. Soda, hep-th/9912-118; J. Kim and B. Kyae, Phys. Lett. B 486 (2000) 165, hep-th/0005139; R. Maartens, D. Wands, B. Bassett, and T. Heard, hep-ph/9912464; S. Mukohyama, hep-th/0007239; L. Mendes and A. Mazumdar, gr-qc/0009017.
4. A. Chamblin and H.S. Reall, Nucl. Phys. B 562 (1999) 133, hep-th/9903225; N. Kaloper, Phys. Rev. D 60 (1999) 123506, hep-th/9905210; A. Lukas, B. Ovrut, and D. Waldram, Phys. Rev. D 61 (2000) 064003, hep-th/9902071; T. Nihei, Phys. Lett. B 465 (1999) 81, hep-th/9905487; H. Kim and H. Kim, Phys. Rev. D 61 (2000) 064003, hep-th/9909053; D. Chung and K. Freese, Phys. Rev. D 61 (2000) 023511; J. Garriga and M. Sasaki, hep-th/9912118; K. Koyama and J. Soda, hep-th/9912-118; J. Kim and B. Kyae, Phys. Lett. B 486 (2000) 165, hep-th/0005139; R. Maartens, D. Wands, B. Bassett, and T. Heard, hep-ph/9912464; S. Mukohyama, hep-th/0007239; L. Mendes and A. Mazumdar, gr-qc/0009017.
5. A. Chamblin and H.S. Reall, Nucl. Phys. B 562 (1999) 133, hep-th/9903225; N. Kaloper, Phys. Rev. D 60 (1999) 123506, hep-th/9905210; A. Lukas, B. Ovrut, and D. Waldram, Phys. Rev. D 61 (2000) 064003, hep-th/9902071; T. Nihei, Phys. Lett. B 465 (1999) 81, hep-th/9905487; H. Kim and H. Kim, Phys. Rev. D 61 (2000) 064003, hep-th/9909053; D. Chung and K. Freese, Phys. Rev. D 61 (2000) 023511; J. Garriga and M. Sasaki, hep-th/9912118; K. Koyama and J. Soda, hep-th/9912-118; J. Kim and B. Kyae, Phys. Lett. B 486 (2000) 165, hep-th/0005139; R. Maartens, D. Wands, B. Bassett, and T. Heard, hep-ph/9912464; S. Mukohyama, hep-th/0007239; L. Mendes and A. Mazumdar, gr-qc/0009017.
6. A. Chamblin and H.S. Reall, Nucl. Phys. B 562 (1999) 133, hep-th/9903225; N. Kaloper, Phys. Rev. D 60 (1999) 123506, hep-th/9905210; A. Lukas, B. Ovrut, and D. Waldram, Phys. Rev. D 61 (2000) 064003, hep-th/9902071; T. Nihei, Phys. Lett. B 465 (1999) 81, hep-th/9905487; H. Kim and H. Kim, Phys. Rev. D 61 (2000) 064003, hep-th/9909053; D. Chung and K. Freese, Phys. Rev. D 61 (2000) 023511; J. Garriga and M. Sasaki, hep-th/9912118; K. Koyama and J. Soda, hep-th/9912-118; J. Kim and B. Kyae, Phys. Lett. B 486 (2000) 165, hep-th/0005139; R. Maartens, D. Wands, B. Bassett, and T. Heard, hep-ph/9912464; S. Mukohyama, hep-th/0007239; L. Mendes and A. Mazumdar, gr-qc/0009017.
7. A. Chamblin and H.S. Reall, Nucl. Phys. B 562 (1999) 133, hep-th/9903225; N. Kaloper, Phys. Rev. D 60 (1999) 123506, hep-th/9905210; A. Lukas, B. Ovrut, and D. Waldram, Phys. Rev. D 61 (2000) 064003, hep-th/9902071; T. Nihei, Phys. Lett. B 465 (1999) 81, hep-th/9905487; H. Kim and H. Kim, Phys. Rev. D 61 (2000) 064003, hep-th/9909053; D. Chung and K. Freese, Phys. Rev. D 61 (2000) 023511; J. Garriga and M. Sasaki, hep-th/9912118; K. Koyama and J. Soda, hep-th/9912-118; J. Kim and B. Kyae, Phys. Lett. B 486 (2000) 165, hep-th/0005139; R. Maartens, D. Wands, B. Bassett, and T. Heard, hep-ph/9912464; S. Mukohyama, hep-th/0007239; L. Mendes and A. Mazumdar, gr-qc/0009017.
8. A. Chamblin and H.S. Reall, Nucl. Phys. B 562 (1999) 133, hep-th/9903225; N. Kaloper, Phys. Rev. D 60 (1999) 123506, hep-th/9905210; A. Lukas, B. Ovrut, and D. Waldram, Phys. Rev. D 61 (2000) 064003, hep-th/9902071; T. Nihei, Phys. Lett. B 465 (1999) 81, hep-th/9905487; H. Kim and H. Kim, Phys. Rev. D 61 (2000) 064003, hep-th/9909053; D. Chung and K. Freese, Phys. Rev. D 61 (2000) 023511; J. Garriga and M. Sasaki, hep-th/9912118; K. Koyama and J. Soda, hep-th/9912-118; J. Kim and B. Kyae, Phys. Lett. B 486 (2000) 165, hep-th/0005139; R. Maartens, D. Wands, B. Bassett, and T. Heard, hep-ph/9912464; S. Mukohyama, hep-th/0007239; L. Mendes and A. Mazumdar, gr-qc/0009017.
9. A. Chamblin and H.S. Reall, Nucl. Phys. B 562 (1999) 133, hep-th/9903225; N. Kaloper, Phys. Rev. D 60 (1999) 123506, hep-th/9905210; A. Lukas, B. Ovrut, and D. Waldram, Phys. Rev. D 61 (2000) 064003, hep-th/9902071; T. Nihei, Phys. Lett. B 465 (1999) 81, hep-th/9905487; H. Kim and H. Kim, Phys. Rev. D 61 (2000) 064003, hep-th/9909053; D. Chung and K. Freese, Phys. Rev. D 61 (2000) 023511; J. Garriga and M. Sasaki, hep-th/9912118; K. Koyama and J. Soda, hep-th/9912-118; J. Kim and B. Kyae, Phys. Lett. B 486 (2000) 165, hep-th/0005139; R. Maartens, D. Wands, B. Bassett, and T. Heard, hep-ph/9912464; S. Mukohyama, hep-th/0007239; L. Mendes and A. Mazumdar, gr-qc/0009017.
10. A. Chamblin and H.S. Reall, Nucl. Phys. B 562 (1999) 133, hep-th/9903225; N. Kaloper, Phys. Rev. D 60 (1999) 123506, hep-th/9905210; A. Lukas, B. Ovrut, and D. Waldram, Phys. Rev. D 61 (2000) 064003, hep-th/9902071; T. Nihei, Phys. Lett. B 465 (1999) 81, hep-th/9905487; H. Kim and H. Kim, Phys. Rev. D 61 (2000) 064003, hep-th/9909053; D. Chung and K. Freese, Phys. Rev. D 61 (2000) 023511; J. Garriga and M. Sasaki, hep-th/9912118; K. Koyama and J. Soda, hep-th/9912-118; J. Kim and B. Kyae, Phys. Lett. B 486 (2000) 165, hep-th/0005139; R. Maartens, D. Wands, B. Bassett, and T. Heard, hep-ph/9912464; S. Mukohyama, hep-th/0007239; L. Mendes and A. Mazumdar, gr-qc/0009017.
11. A. Chamblin and H.S. Reall, Nucl. Phys. B 562 (1999) 133, hep-th/9903225; N. Kaloper, Phys. Rev. D 60 (1999) 123506, hep-th/9905210; A. Lukas, B. Ovrut, and D. Waldram, Phys. Rev. D 61 (2000) 064003, hep-th/9902071; T. Nihei, Phys. Lett. B 465 (1999) 81, hep-th/9905487; H. Kim and H. Kim, Phys. Rev. D 61 (2000) 064003, hep-th/9909053; D. Chung and K. Freese, Phys. Rev. D 61 (2000) 023511; J. Garriga and M. Sasaki, hep-th/9912118; K. Koyama and J. Soda, hep-th/9912-118; J. Kim and B. Kyae, Phys. Lett. B 486 (2000) 165, hep-th/0005139; R. Maartens, D. Wands, B. Bassett, and T. Heard, hep-ph/9912464; S. Mukohyama, hep-th/0007239; L. Mendes and A. Mazumdar, gr-qc/0009017.
12. A. Chamblin and H.S. Reall, Nucl. Phys. B 562 (1999) 133, hep-th/9903225; N. Kaloper, Phys. Rev. D 60 (1999) 123506, hep-th/9905210; A. Lukas, B. Ovrut, and D. Waldram, Phys. Rev. D 61 (2000) 064003, hep-th/9902071; T. Nihei, Phys. Lett. B 465 (1999) 81, hep-th/9905487; H. Kim and H. Kim, Phys. Rev. D 61 (2000) 064003, hep-th/9909053; D. Chung and K. Freese, Phys. Rev. D 61 (2000) 023511; J. Garriga and M. Sasaki, hep-th/9912118; K. Koyama and J. Soda, hep-th/9912-118; J. Kim and B. Kyae, Phys. Lett. B 486 (2000) 165, hep-th/0005139; R. Maartens, D. Wands, B. Bassett, and T. Heard, hep-ph/9912464; S. Mukohyama, hep-th/0007239; L. Mendes and A. Mazumdar, gr-qc/0009017.
13. A. Chamblin and H.S. Reall, Nucl. Phys. B 562 (1999) 133, hep-th/9903225; N. Kaloper, Phys. Rev. D 60 (1999) 123506, hep-th/9905210; A. Lukas, B. Ovrut, and D. Waldram, Phys. Rev. D 61 (2000) 064003, hep-th/9902071; T. Nihei, Phys. Lett. B 465 (1999) 81, hep-th/9905487; H. Kim and H. Kim, Phys. Rev. D 61 (2000) 064003, hep-th/9909053; D. Chung and K. Freese, Phys. Rev. D 61 (2000) 023511; J. Garriga and M. Sasaki, hep-th/9912118; K. Koyama and J. Soda, hep-th/9912-118; J. Kim and B. Kyae, Phys. Lett. B 486 (2000) 165, hep-th/0005139; R. Maartens, D. Wands, B. Bassett, and T. Heard, hep-ph/9912464; S. Mukohyama, hep-th/0007239; L. Mendes and A. Mazumdar, gr-qc/0009017.
14. A. Chamblin and H.S. Reall, Nucl. Phys. B 562 (1999) 133, hep-th/9903225; N. Kaloper, Phys. Rev. D 60 (1999) 123506, hep-th/9905210; A. Lukas, B. Ovrut, and D. Waldram, Phys. Rev. D 61 (2000) 064003, hep-th/9902071; T. Nihei, Phys. Lett. B 465 (1999) 81, hep-th/9905487; H. Kim and H. Kim, Phys. Rev. D 61 (2000) 064003, hep-th/9909053; D. Chung and K. Freese, Phys. Rev. D 61 (2000) 023511; J. Garriga and M. Sasaki, hep-th/9912118; K. Koyama and J. Soda, hep-th/9912-118; J. Kim and B. Kyae, Phys. Lett. B 486 (2000) 165, hep-th/0005139; R. Maartens, D. Wands, B. Bassett, and T. Heard, hep-ph/9912464; S. Mukohyama, hep-th/0007239; L. Mendes and A. Mazumdar, gr-qc/0009017.
15. P. Binetruy, C. Deffayet, and D. Langlois, Nucl. Phys. B 565 (2000) 269, hep-th/9905012; J. Cline, C. Grojean, and G. Servant, Phys, Rev. Lett. 83 (1999) 4245; S. Giddings, E. Katz, and L. Randall, JHEP 0003 (2000) 023; E. Flanagan, S. Tye, and I. Wasserman, hep-ph/9909373; C. Csaki, M. Graesser, C. Kolda, and J. Terning, Phys. Lett. B 462 (1999) 34; P. Kanti, I. Kogan, K. Olive, and M. Pospelov, Phys. Lett. B 468 (1999) 31; S.Mukohyama, T. Shiromizu, and K. Maeda, Phys. Rev. D 62 (2000) 024028, hep-th/9912287; K. Behrndt and M. Cvetic, hep-th/9909058; M. Cvetic and J. Wang, hep-th/9912187; R. Kallosh and A. Linde, JHEP 0002 (2000) 005; D. Youm, hep-th/0002147; J. Chen, M. Luty, and E. Ponton, hep-th/0003067; S. de Alwis, A. Flournoy, and N. Irges, hep-th/0004125; R. Gregory, V.A. Rubakov, and S. Sibiryakov, Phys. Rev. Lett. 84 (2000) 5928; S. Nojiri and S.D. Odintsov, JHEP 0007 (2000) 049, hep-th/0006232; C. Zhu, JHEP 0006 (2000) 034, hep-th/0005230; H. Davouddiasl, J. Hewett, and T. Rizzo, hep-ph/0006041; P. Binetruy, J.M. Cline, and C. Crojean, hep-th/0007029; N. Mavromatos and J. Rizos, hep-th/0008074; I. Neupane, hep-th/0008190; K. Akama and T. Hattori, hep-th/0008133; C. Barcelo and M. Visser, gr-qc/0008008.
16. P. Binetruy, C. Deffayet, and D. Langlois, Nucl. Phys. B 565 (2000) 269, hep-th/9905012; J. Cline, C. Grojean, and G. Servant, Phys, Rev. Lett. 83 (1999) 4245; S. Giddings, E. Katz, and L. Randall, JHEP 0003 (2000) 023; E. Flanagan, S. Tye, and I. Wasserman, hep-ph/9909373; C. Csaki, M. Graesser, C. Kolda, and J. Terning, Phys. Lett. B 462 (1999) 34; P. Kanti, I. Kogan, K. Olive, and M. Pospelov, Phys. Lett. B 468 (1999) 31; S.Mukohyama, T. Shiromizu, and K. Maeda, Phys. Rev. D 62 (2000) 024028, hep-th/9912287; K. Behrndt and M. Cvetic, hep-th/9909058; M. Cvetic and J. Wang, hep-th/9912187; R. Kallosh and A. Linde, JHEP 0002 (2000) 005; D. Youm, hep-th/0002147; J. Chen, M. Luty, and E. Ponton, hep-th/0003067; S. de Alwis, A. Flournoy, and N. Irges, hep-th/0004125; R. Gregory, V.A. Rubakov, and S. Sibiryakov, Phys. Rev. Lett. 84 (2000) 5928; S. Nojiri and S.D. Odintsov, JHEP 0007 (2000) 049, hep-th/0006232; C. Zhu, JHEP 0006 (2000) 034, hep-th/0005230; H. Davouddiasl, J. Hewett, and T. Rizzo, hep-ph/0006041; P. Binetruy, J.M. Cline, and C. Crojean, hep-th/0007029; N. Mavromatos and J. Rizos, hep-th/0008074; I. Neupane, hep-th/0008190; K. Akama and T. Hattori, hep-th/0008133; C. Barcelo and M. Visser, gr-qc/0008008.
17. P. Binetruy, C. Deffayet, and D. Langlois, Nucl. Phys. B 565 (2000) 269, hep-th/9905012; J. Cline, C. Grojean, and G. Servant, Phys, Rev. Lett. 83 (1999) 4245; S. Giddings, E. Katz, and L. Randall, JHEP 0003 (2000) 023; E. Flanagan, S. Tye, and I. Wasserman, hep-ph/9909373; C. Csaki, M. Graesser, C. Kolda, and J. Terning, Phys. Lett. B 462 (1999) 34; P. Kanti, I. Kogan, K. Olive, and M. Pospelov, Phys. Lett. B 468 (1999) 31; S.Mukohyama, T. Shiromizu, and K. Maeda, Phys. Rev. D 62 (2000) 024028, hep-th/9912287; K. Behrndt and M. Cvetic, hep-th/9909058; M. Cvetic and J. Wang, hep-th/9912187; R. Kallosh and A. Linde, JHEP 0002 (2000) 005; D. Youm, hep-th/0002147; J. Chen, M. Luty, and E. Ponton, hep-th/0003067; S. de Alwis, A. Flournoy, and N. Irges, hep-th/0004125; R. Gregory, V.A. Rubakov, and S. Sibiryakov, Phys. Rev. Lett. 84 (2000) 5928; S. Nojiri and S.D. Odintsov, JHEP 0007 (2000) 049, hep-th/0006232; C. Zhu, JHEP 0006 (2000) 034, hep-th/0005230; H. Davouddiasl, J. Hewett, and T. Rizzo, hep-ph/0006041; P. Binetruy, J.M. Cline, and C. Crojean, hep-th/0007029; N. Mavromatos and J. Rizos, hep-th/0008074; I. Neupane, hep-th/0008190; K. Akama and T. Hattori, hep-th/0008133; C. Barcelo and M. Visser, gr-qc/0008008.
18. P. Binetruy, C. Deffayet, and D. Langlois, Nucl. Phys. B 565 (2000) 269, hep-th/9905012; J. Cline, C. Grojean, and G. Servant, Phys, Rev. Lett. 83 (1999) 4245; S. Giddings, E. Katz, and L. Randall, JHEP 0003 (2000) 023; E. Flanagan, S. Tye, and I. Wasserman, hep-ph/9909373; C. Csaki, M. Graesser, C. Kolda, and J. Terning, Phys. Lett. B 462 (1999) 34; P. Kanti, I. Kogan, K. Olive, and M. Pospelov, Phys. Lett. B 468 (1999) 31; S.Mukohyama, T. Shiromizu, and K. Maeda, Phys. Rev. D 62 (2000) 024028, hep-th/9912287; K. Behrndt and M. Cvetic, hep-th/9909058; M. Cvetic and J. Wang, hep-th/9912187; R. Kallosh and A. Linde, JHEP 0002 (2000) 005; D. Youm, hep-th/0002147; J. Chen, M. Luty, and E. Ponton, hep-th/0003067; S. de Alwis, A. Flournoy, and N. Irges, hep-th/0004125; R. Gregory, V.A. Rubakov, and S. Sibiryakov, Phys. Rev. Lett. 84 (2000) 5928; S. Nojiri and S.D. Odintsov, JHEP 0007 (2000) 049, hep-th/0006232; C. Zhu, JHEP 0006 (2000) 034, hep-th/0005230; H. Davouddiasl, J. Hewett, and T. Rizzo, hep-ph/0006041; P. Binetruy, J.M. Cline, and C. Crojean, hep-th/0007029; N. Mavromatos and J. Rizos, hep-th/0008074; I. Neupane, hep-th/0008190; K. Akama and T. Hattori, hep-th/0008133; C. Barcelo and M. Visser, gr-qc/0008008.
19. P. Binetruy, C. Deffayet, and D. Langlois, Nucl. Phys. B 565 (2000) 269, hep-th/9905012; J. Cline, C. Grojean, and G. Servant, Phys, Rev. Lett. 83 (1999) 4245; S. Giddings, E. Katz, and L. Randall, JHEP 0003 (2000) 023; E. Flanagan, S. Tye, and I. Wasserman, hep-ph/9909373; C. Csaki, M. Graesser, C. Kolda, and J. Terning, Phys. Lett. B 462 (1999) 34; P. Kanti, I. Kogan, K. Olive, and M. Pospelov, Phys. Lett. B 468 (1999) 31; S.Mukohyama, T. Shiromizu, and K. Maeda, Phys. Rev. D 62 (2000) 024028, hep-th/9912287; K. Behrndt and M. Cvetic, hep-th/9909058; M. Cvetic and J. Wang, hep-th/9912187; R. Kallosh and A. Linde, JHEP 0002 (2000) 005; D. Youm, hep-th/0002147; J. Chen, M. Luty, and E. Ponton, hep-th/0003067; S. de Alwis, A. Flournoy, and N. Irges, hep-th/0004125; R. Gregory, V.A. Rubakov, and S. Sibiryakov, Phys. Rev. Lett. 84 (2000) 5928; S. Nojiri and S.D. Odintsov, JHEP 0007 (2000) 049, hep-th/0006232; C. Zhu, JHEP 0006 (2000) 034, hep-th/0005230; H. Davouddiasl, J. Hewett, and T. Rizzo, hep-ph/0006041; P. Binetruy, J.M. Cline, and C. Crojean, hep-th/0007029; N. Mavromatos and J. Rizos, hep-th/0008074; I. Neupane, hep-th/0008190; K. Akama and T. Hattori, hep-th/0008133; C. Barcelo and M. Visser, gr-qc/0008008.
20. P. Binetruy, C. Deffayet, and D. Langlois, Nucl. Phys. B 565 (2000) 269, hep-th/9905012; J. Cline, C. Grojean, and G. Servant, Phys, Rev. Lett. 83 (1999) 4245; S. Giddings, E. Katz, and L. Randall, JHEP 0003 (2000) 023; E. Flanagan, S. Tye, and I. Wasserman, hep-ph/9909373; C. Csaki, M. Graesser, C. Kolda, and J. Terning, Phys. Lett. B 462 (1999) 34; P. Kanti, I. Kogan, K. Olive, and M. Pospelov, Phys. Lett. B 468 (1999) 31; S.Mukohyama, T. Shiromizu, and K. Maeda, Phys. Rev. D 62 (2000) 024028, hep-th/9912287; K. Behrndt and M. Cvetic, hep-th/9909058; M. Cvetic and J. Wang, hep-th/9912187; R. Kallosh and A. Linde, JHEP 0002 (2000) 005; D. Youm, hep-th/0002147; J. Chen, M. Luty, and E. Ponton, hep-th/0003067; S. de Alwis, A. Flournoy, and N. Irges, hep-th/0004125; R. Gregory, V.A. Rubakov, and S. Sibiryakov, Phys. Rev. Lett. 84 (2000) 5928; S. Nojiri and S.D. Odintsov, JHEP 0007 (2000) 049, hep-th/0006232; C. Zhu, JHEP 0006 (2000) 034, hep-th/0005230; H. Davouddiasl, J. Hewett, and T. Rizzo, hep-ph/0006041; P. Binetruy, J.M. Cline, and C. Crojean, hep-th/0007029; N. Mavromatos and J. Rizos, hep-th/0008074; I. Neupane, hep-th/0008190; K. Akama and T. Hattori, hep-th/0008133; C. Barcelo and M. Visser, gr-qc/0008008.
21. P. Binetruy, C. Deffayet, and D. Langlois, Nucl. Phys. B 565 (2000) 269, hep-th/9905012; J. Cline, C. Grojean, and G. Servant, Phys, Rev. Lett. 83 (1999) 4245; S. Giddings, E. Katz, and L. Randall, JHEP 0003 (2000) 023; E. Flanagan, S. Tye, and I. Wasserman, hep-ph/9909373; C. Csaki, M. Graesser, C. Kolda, and J. Terning, Phys. Lett. B 462 (1999) 34; P. Kanti, I. Kogan, K. Olive, and M. Pospelov, Phys. Lett. B 468 (1999) 31; S.Mukohyama, T. Shiromizu, and K. Maeda, Phys. Rev. D 62 (2000) 024028, hep-th/9912287; K. Behrndt and M. Cvetic, hep-th/9909058; M. Cvetic and J. Wang, hep-th/9912187; R. Kallosh and A. Linde, JHEP 0002 (2000) 005; D. Youm, hep-th/0002147; J. Chen, M. Luty, and E. Ponton, hep-th/0003067; S. de Alwis, A. Flournoy, and N. Irges, hep-th/0004125; R. Gregory, V.A. Rubakov, and S. Sibiryakov, Phys. Rev. Lett. 84 (2000) 5928; S. Nojiri and S.D. Odintsov, JHEP 0007 (2000) 049, hep-th/0006232; C. Zhu, JHEP 0006 (2000) 034, hep-th/0005230; H. Davouddiasl, J. Hewett, and T. Rizzo, hep-ph/0006041; P. Binetruy, J.M. Cline, and C. Crojean, hep-th/0007029; N. Mavromatos and J. Rizos, hep-th/0008074; I. Neupane, hep-th/0008190; K. Akama and T. Hattori, hep-th/0008133; C. Barcelo and M. Visser, gr-qc/0008008.
22. P. Binetruy, C. Deffayet, and D. Langlois, Nucl. Phys. B 565 (2000) 269, hep-th/9905012; J. Cline, C. Grojean, and G. Servant, Phys, Rev. Lett. 83 (1999) 4245; S. Giddings, E. Katz, and L. Randall, JHEP 0003 (2000) 023; E. Flanagan, S. Tye, and I. Wasserman, hep-ph/9909373; C. Csaki, M. Graesser, C. Kolda, and J. Terning, Phys. Lett. B 462 (1999) 34; P. Kanti, I. Kogan, K. Olive, and M. Pospelov, Phys. Lett. B 468 (1999) 31; S.Mukohyama, T. Shiromizu, and K. Maeda, Phys. Rev. D 62 (2000) 024028, hep-th/9912287; K. Behrndt and M. Cvetic, hep-th/9909058; M. Cvetic and J. Wang, hep-th/9912187; R. Kallosh and A. Linde, JHEP 0002 (2000) 005; D. Youm, hep-th/0002147; J. Chen, M. Luty, and E. Ponton, hep-th/0003067; S. de Alwis, A. Flournoy, and N. Irges, hep-th/0004125; R. Gregory, V.A. Rubakov, and S. Sibiryakov, Phys. Rev. Lett. 84 (2000) 5928; S. Nojiri and S.D. Odintsov, JHEP 0007 (2000) 049, hep-th/0006232; C. Zhu, JHEP 0006 (2000) 034, hep-th/0005230; H. Davouddiasl, J. Hewett, and T. Rizzo, hep-ph/0006041; P. Binetruy, J.M. Cline, and C. Crojean, hep-th/0007029; N. Mavromatos and J. Rizos, hep-th/0008074; I. Neupane, hep-th/0008190; K. Akama and T. Hattori, hep-th/0008133; C. Barcelo and M. Visser, gr-qc/0008008.
23. P. Binetruy, C. Deffayet, and D. Langlois, Nucl. Phys. B 565 (2000) 269, hep-th/9905012; J. Cline, C. Grojean, and G. Servant, Phys, Rev. Lett. 83 (1999) 4245; S. Giddings, E. Katz, and L. Randall, JHEP 0003 (2000) 023; E. Flanagan, S. Tye, and I. Wasserman, hep-ph/9909373; C. Csaki, M. Graesser, C. Kolda, and J. Terning, Phys. Lett. B 462 (1999) 34; P. Kanti, I. Kogan, K. Olive, and M. Pospelov, Phys. Lett. B 468 (1999) 31; S.Mukohyama, T. Shiromizu, and K. Maeda, Phys. Rev. D 62 (2000) 024028, hep-th/9912287; K. Behrndt and M. Cvetic, hep-th/9909058; M. Cvetic and J. Wang, hep-th/9912187; R. Kallosh and A. Linde, JHEP 0002 (2000) 005; D. Youm, hep-th/0002147; J. Chen, M. Luty, and E. Ponton, hep-th/0003067; S. de Alwis, A. Flournoy, and N. Irges, hep-th/0004125; R. Gregory, V.A. Rubakov, and S. Sibiryakov, Phys. Rev. Lett. 84 (2000) 5928; S. Nojiri and S.D. Odintsov, JHEP 0007 (2000) 049, hep-th/0006232; C. Zhu, JHEP 0006 (2000) 034, hep-th/0005230; H. Davouddiasl, J. Hewett, and T. Rizzo, hep-ph/0006041; P. Binetruy, J.M. Cline, and C. Crojean, hep-th/0007029; N. Mavromatos and J. Rizos, hep-th/0008074; I. Neupane, hep-th/0008190; K. Akama and T. Hattori, hep-th/0008133; C. Barcelo and M. Visser, gr-qc/0008008.
24. P. Binetruy, C. Deffayet, and D. Langlois, Nucl. Phys. B 565 (2000) 269, hep-th/9905012; J. Cline, C. Grojean, and G. Servant, Phys, Rev. Lett. 83 (1999) 4245; S. Giddings, E. Katz, and L. Randall, JHEP 0003 (2000) 023; E. Flanagan, S. Tye, and I. Wasserman, hep-ph/9909373; C. Csaki, M. Graesser, C. Kolda, and J. Terning, Phys. Lett. B 462 (1999) 34; P. Kanti, I. Kogan, K. Olive, and M. Pospelov, Phys. Lett. B 468 (1999) 31; S.Mukohyama, T. Shiromizu, and K. Maeda, Phys. Rev. D 62 (2000) 024028, hep-th/9912287; K. Behrndt and M. Cvetic, hep-th/9909058; M. Cvetic and J. Wang, hep-th/9912187; R. Kallosh and A. Linde, JHEP 0002 (2000) 005; D. Youm, hep-th/0002147; J. Chen, M. Luty, and E. Ponton, hep-th/0003067; S. de Alwis, A. Flournoy, and N. Irges, hep-th/0004125; R. Gregory, V.A. Rubakov, and S. Sibiryakov, Phys. Rev. Lett. 84 (2000) 5928; S. Nojiri and S.D. Odintsov, JHEP 0007 (2000) 049, hep-th/0006232; C. Zhu, JHEP 0006 (2000) 034, hep-th/0005230; H. Davouddiasl, J. Hewett, and T. Rizzo, hep-ph/0006041; P. Binetruy, J.M. Cline, and C. Crojean, hep-th/0007029; N. Mavromatos and J. Rizos, hep-th/0008074; I. Neupane, hep-th/0008190; K. Akama and T. Hattori, hep-th/0008133; C. Barcelo and M. Visser, gr-qc/0008008.
25. P. Binetruy, C. Deffayet, and D. Langlois, Nucl. Phys. B 565 (2000) 269, hep-th/9905012; J. Cline, C. Grojean, and G. Servant, Phys, Rev. Lett. 83 (1999) 4245; S. Giddings, E. Katz, and L. Randall, JHEP 0003 (2000) 023; E. Flanagan, S. Tye, and I. Wasserman, hep-ph/9909373; C. Csaki, M. Graesser, C. Kolda, and J. Terning, Phys. Lett. B 462 (1999) 34; P. Kanti, I. Kogan, K. Olive, and M. Pospelov, Phys. Lett. B 468 (1999) 31; S.Mukohyama, T. Shiromizu, and K. Maeda, Phys. Rev. D 62 (2000) 024028, hep-th/9912287; K. Behrndt and M. Cvetic, hep-th/9909058; M. Cvetic and J. Wang, hep-th/9912187; R. Kallosh and A. Linde, JHEP 0002 (2000) 005; D. Youm, hep-th/0002147; J. Chen, M. Luty, and E. Ponton, hep-th/0003067; S. de Alwis, A. Flournoy, and N. Irges, hep-th/0004125; R. Gregory, V.A. Rubakov, and S. Sibiryakov, Phys. Rev. Lett. 84 (2000) 5928; S. Nojiri and S.D. Odintsov, JHEP 0007 (2000) 049, hep-th/0006232; C. Zhu, JHEP 0006 (2000) 034, hep-th/0005230; H. Davouddiasl, J. Hewett, and T. Rizzo, hep-ph/0006041; P. Binetruy, J.M. Cline, and C. Crojean, hep-th/0007029; N. Mavromatos and J. Rizos, hep-th/0008074; I. Neupane, hep-th/0008190; K. Akama and T. Hattori, hep-th/0008133; C. Barcelo and M. Visser, gr-qc/0008008.
26. P. Binetruy, C. Deffayet, and D. Langlois, Nucl. Phys. B 565 (2000) 269, hep-th/9905012; J. Cline, C. Grojean, and G. Servant, Phys, Rev. Lett. 83 (1999) 4245; S. Giddings, E. Katz, and L. Randall, JHEP 0003 (2000) 023; E. Flanagan, S. Tye, and I. Wasserman, hep-ph/9909373; C. Csaki, M. Graesser, C. Kolda, and J. Terning, Phys. Lett. B 462 (1999) 34; P. Kanti, I. Kogan, K. Olive, and M. Pospelov, Phys. Lett. B 468 (1999) 31; S.Mukohyama, T. Shiromizu, and K. Maeda, Phys. Rev. D 62 (2000) 024028, hep-th/9912287; K. Behrndt and M. Cvetic, hep-th/9909058; M. Cvetic and J. Wang, hep-th/9912187; R. Kallosh and A. Linde, JHEP 0002 (2000) 005; D. Youm, hep-th/0002147; J. Chen, M. Luty, and E. Ponton, hep-th/0003067; S. de Alwis, A. Flournoy, and N. Irges, hep-th/0004125; R. Gregory, V.A. Rubakov, and S. Sibiryakov, Phys. Rev. Lett. 84 (2000) 5928; S. Nojiri and S.D. Odintsov, JHEP 0007 (2000) 049, hep-th/0006232; C. Zhu, JHEP 0006 (2000) 034, hep-th/0005230; H. Davouddiasl, J. Hewett, and T. Rizzo, hep-ph/0006041; P. Binetruy, J.M. Cline, and C. Crojean, hep-th/0007029; N. Mavromatos and J. Rizos, hep-th/0008074; I. Neupane, hep-th/0008190; K. Akama and T. Hattori, hep-th/0008133; C. Barcelo and M. Visser, gr-qc/0008008.
27. P. Binetruy, C. Deffayet, and D. Langlois, Nucl. Phys. B 565 (2000) 269, hep-th/9905012; J. Cline, C. Grojean, and G. Servant, Phys, Rev. Lett. 83 (1999) 4245; S. Giddings, E. Katz, and L. Randall, JHEP 0003 (2000) 023; E. Flanagan, S. Tye, and I. Wasserman, hep-ph/9909373; C. Csaki, M. Graesser, C. Kolda, and J. Terning, Phys. Lett. B 462 (1999) 34; P. Kanti, I. Kogan, K. Olive, and M. Pospelov, Phys. Lett. B 468 (1999) 31; S.Mukohyama, T. Shiromizu, and K. Maeda, Phys. Rev. D 62 (2000) 024028, hep-th/9912287; K. Behrndt and M. Cvetic, hep-th/9909058; M. Cvetic and J. Wang, hep-th/9912187; R. Kallosh and A. Linde, JHEP 0002 (2000) 005; D. Youm, hep-th/0002147; J. Chen, M. Luty, and E. Ponton, hep-th/0003067; S. de Alwis, A. Flournoy, and N. Irges, hep-th/0004125; R. Gregory, V.A. Rubakov, and S. Sibiryakov, Phys. Rev. Lett. 84 (2000) 5928; S. Nojiri and S.D. Odintsov, JHEP 0007 (2000) 049, hep-th/0006232; C. Zhu, JHEP 0006 (2000) 034, hep-th/0005230; H. Davouddiasl, J. Hewett, and T. Rizzo, hep-ph/0006041; P. Binetruy, J.M. Cline, and C. Crojean, hep-th/0007029; N. Mavromatos and J. Rizos, hep-th/0008074; I. Neupane, hep-th/0008190; K. Akama and T. Hattori, hep-th/0008133; C. Barcelo and M. Visser, gr-qc/0008008.
28. P. Binetruy, C. Deffayet, and D. Langlois, Nucl. Phys. B 565 (2000) 269, hep-th/9905012; J. Cline, C. Grojean, and G. Servant, Phys, Rev. Lett. 83 (1999) 4245; S. Giddings, E. Katz, and L. Randall, JHEP 0003 (2000) 023; E. Flanagan, S. Tye, and I. Wasserman, hep-ph/9909373; C. Csaki, M. Graesser, C. Kolda, and J. Terning, Phys. Lett. B 462 (1999) 34; P. Kanti, I. Kogan, K. Olive, and M. Pospelov, Phys. Lett. B 468 (1999) 31; S.Mukohyama, T. Shiromizu, and K. Maeda, Phys. Rev. D 62 (2000) 024028, hep-th/9912287; K. Behrndt and M. Cvetic, hep-th/9909058; M. Cvetic and J. Wang, hep-th/9912187; R. Kallosh and A. Linde, JHEP 0002 (2000) 005; D. Youm, hep-th/0002147; J. Chen, M. Luty, and E. Ponton, hep-th/0003067; S. de Alwis, A. Flournoy, and N. Irges, hep-th/0004125; R. Gregory, V.A. Rubakov, and S. Sibiryakov, Phys. Rev. Lett. 84 (2000) 5928; S. Nojiri and S.D. Odintsov, JHEP 0007 (2000) 049, hep-th/0006232; C. Zhu, JHEP 0006 (2000) 034, hep-th/0005230; H. Davouddiasl, J. Hewett, and T. Rizzo, hep-ph/0006041; P. Binetruy, J.M. Cline, and C. Crojean, hep-th/0007029; N. Mavromatos and J. Rizos, hep-th/0008074; I. Neupane, hep-th/0008190; K. Akama and T. Hattori, hep-th/0008133; C. Barcelo and M. Visser, gr-qc/0008008.
29. P. Binetruy, C. Deffayet, and D. Langlois, Nucl. Phys. B 565 (2000) 269, hep-th/9905012; J. Cline, C. Grojean, and G. Servant, Phys, Rev. Lett. 83 (1999) 4245; S. Giddings, E. Katz, and L. Randall, JHEP 0003 (2000) 023; E. Flanagan, S. Tye, and I. Wasserman, hep-ph/9909373; C. Csaki, M. Graesser, C. Kolda, and J. Terning, Phys. Lett. B 462 (1999) 34; P. Kanti, I. Kogan, K. Olive, and M. Pospelov, Phys. Lett. B 468 (1999) 31; S.Mukohyama, T. Shiromizu, and K. Maeda, Phys. Rev. D 62 (2000) 024028, hep-th/9912287; K. Behrndt and M. Cvetic, hep-th/9909058; M. Cvetic and J. Wang, hep-th/9912187; R. Kallosh and A. Linde, JHEP 0002 (2000) 005; D. Youm, hep-th/0002147; J. Chen, M. Luty, and E. Ponton, hep-th/0003067; S. de Alwis, A. Flournoy, and N. Irges, hep-th/0004125; R. Gregory, V.A. Rubakov, and S. Sibiryakov, Phys. Rev. Lett. 84 (2000) 5928; S. Nojiri and S.D. Odintsov, JHEP 0007 (2000) 049, hep-th/0006232; C. Zhu, JHEP 0006 (2000) 034, hep-th/0005230; H. Davouddiasl, J. Hewett, and T. Rizzo, hep-ph/0006041; P. Binetruy, J.M. Cline, and C. Crojean, hep-th/0007029; N. Mavromatos and J. Rizos, hep-th/0008074; I. Neupane, hep-th/0008190; K. Akama and T. Hattori, hep-th/0008133; C. Barcelo and M. Visser, gr-qc/0008008.
30. P. Binetruy, C. Deffayet, and D. Langlois, Nucl. Phys. B 565 (2000) 269, hep-th/9905012; J. Cline, C. Grojean, and G. Servant, Phys, Rev. Lett. 83 (1999) 4245; S. Giddings, E. Katz, and L. Randall, JHEP 0003 (2000) 023; E. Flanagan, S. Tye, and I. Wasserman, hep-ph/9909373; C. Csaki, M. Graesser, C. Kolda, and J. Terning, Phys. Lett. B 462 (1999) 34; P. Kanti, I. Kogan, K. Olive, and M. Pospelov, Phys. Lett. B 468 (1999) 31; S.Mukohyama, T. Shiromizu, and K. Maeda, Phys. Rev. D 62 (2000) 024028, hep-th/9912287; K. Behrndt and M. Cvetic, hep-th/9909058; M. Cvetic and J. Wang, hep-th/9912187; R. Kallosh and A. Linde, JHEP 0002 (2000) 005; D. Youm, hep-th/0002147; J. Chen, M. Luty, and E. Ponton, hep-th/0003067; S. de Alwis, A. Flournoy, and N. Irges, hep-th/0004125; R. Gregory, V.A. Rubakov, and S. Sibiryakov, Phys. Rev. Lett. 84 (2000) 5928; S. Nojiri and S.D. Odintsov, JHEP 0007 (2000) 049, hep-th/0006232; C. Zhu, JHEP 0006 (2000) 034, hep-th/0005230; H. Davouddiasl, J. Hewett, and T. Rizzo, hep-ph/0006041; P. Binetruy, J.M. Cline, and C. Crojean, hep-th/0007029; N. Mavromatos and J. Rizos, hep-th/0008074; I. Neupane, hep-th/0008190; K. Akama and T. Hattori, hep-th/0008133; C. Barcelo and M. Visser, gr-qc/0008008.
31. P. Binetruy, C. Deffayet, and D. Langlois, Nucl. Phys. B 565 (2000) 269, hep-th/9905012; J. Cline, C. Grojean, and G. Servant, Phys, Rev. Lett. 83 (1999) 4245; S. Giddings, E. Katz, and L. Randall, JHEP 0003 (2000) 023; E. Flanagan, S. Tye, and I. Wasserman, hep-ph/9909373; C. Csaki, M. Graesser, C. Kolda, and J. Terning, Phys. Lett. B 462 (1999) 34; P. Kanti, I. Kogan, K. Olive, and M. Pospelov, Phys. Lett. B 468 (1999) 31; S.Mukohyama, T. Shiromizu, and K. Maeda, Phys. Rev. D 62 (2000) 024028, hep-th/9912287; K. Behrndt and M. Cvetic, hep-th/9909058; M. Cvetic and J. Wang, hep-th/9912187; R. Kallosh and A. Linde, JHEP 0002 (2000) 005; D. Youm, hep-th/0002147; J. Chen, M. Luty, and E. Ponton, hep-th/0003067; S. de Alwis, A. Flournoy, and N. Irges, hep-th/0004125; R. Gregory, V.A. Rubakov, and S. Sibiryakov, Phys. Rev. Lett. 84 (2000) 5928; S. Nojiri and S.D. Odintsov, JHEP 0007 (2000) 049, hep-th/0006232; C. Zhu, JHEP 0006 (2000) 034, hep-th/0005230; H. Davouddiasl, J. Hewett, and T. Rizzo, hep-ph/0006041; P. Binetruy, J.M. Cline, and C. Crojean, hep-th/0007029; N. Mavromatos and J. Rizos, hep-th/0008074; I. Neupane, hep-th/0008190; K. Akama and T. Hattori, hep-th/0008133; C. Barcelo and M. Visser, gr-qc/0008008.
32. P. Binetruy, C. Deffayet, and D. Langlois, Nucl. Phys. B 565 (2000) 269, hep-th/9905012; J. Cline, C. Grojean, and G. Servant, Phys, Rev. Lett. 83 (1999) 4245; S. Giddings, E. Katz, and L. Randall, JHEP 0003 (2000) 023; E. Flanagan, S. Tye, and I. Wasserman, hep-ph/9909373; C. Csaki, M. Graesser, C. Kolda, and J. Terning, Phys. Lett. B 462 (1999) 34; P. Kanti, I. Kogan, K. Olive, and M. Pospelov, Phys. Lett. B 468 (1999) 31; S.Mukohyama, T. Shiromizu, and K. Maeda, Phys. Rev. D 62 (2000) 024028, hep-th/9912287; K. Behrndt and M. Cvetic, hep-th/9909058; M. Cvetic and J. Wang, hep-th/9912187; R. Kallosh and A. Linde, JHEP 0002 (2000) 005; D. Youm, hep-th/0002147; J. Chen, M. Luty, and E. Ponton, hep-th/0003067; S. de Alwis, A. Flournoy, and N. Irges, hep-th/0004125; R. Gregory, V.A. Rubakov, and S. Sibiryakov, Phys. Rev. Lett. 84 (2000) 5928; S. Nojiri and S.D. Odintsov, JHEP 0007 (2000) 049, hep-th/0006232; C. Zhu, JHEP 0006 (2000) 034, hep-th/0005230; H. Davouddiasl, J. Hewett, and T. Rizzo, hep-ph/0006041; P. Binetruy, J.M. Cline, and C. Crojean, hep-th/0007029; N. Mavromatos and J. Rizos, hep-th/0008074; I. Neupane, hep-th/0008190; K. Akama and T. Hattori, hep-th/0008133; C. Barcelo and M. Visser, gr-qc/0008008.
33. P. Binetruy, C. Deffayet, and D. Langlois, Nucl. Phys. B 565 (2000) 269, hep-th/9905012; J. Cline, C. Grojean, and G. Servant, Phys, Rev. Lett. 83 (1999) 4245; S. Giddings, E. Katz, and L. Randall, JHEP 0003 (2000) 023; E. Flanagan, S. Tye, and I. Wasserman, hep-ph/9909373; C. Csaki, M. Graesser, C. Kolda, and J. Terning, Phys. Lett. B 462 (1999) 34; P. Kanti, I. Kogan, K. Olive, and M. Pospelov, Phys. Lett. B 468 (1999) 31; S.Mukohyama, T. Shiromizu, and K. Maeda, Phys. Rev. D 62 (2000) 024028, hep-th/9912287; K. Behrndt and M. Cvetic, hep-th/9909058; M. Cvetic and J. Wang, hep-th/9912187; R. Kallosh and A. Linde, JHEP 0002 (2000) 005; D. Youm, hep-th/0002147; J. Chen, M. Luty, and E. Ponton, hep-th/0003067; S. de Alwis, A. Flournoy, and N. Irges, hep-th/0004125; R. Gregory, V.A. Rubakov, and S. Sibiryakov, Phys. Rev. Lett. 84 (2000) 5928; S. Nojiri and S.D. Odintsov, JHEP 0007 (2000) 049, hep-th/0006232; C. Zhu, JHEP 0006 (2000) 034, hep-th/0005230; H. Davouddiasl, J. Hewett, and T. Rizzo, hep-ph/0006041; P. Binetruy, J.M. Cline, and C. Crojean, hep-th/0007029; N. Mavromatos and J. Rizos, hep-th/0008074; I. Neupane, hep-th/0008190; K. Akama and T. Hattori, hep-th/0008133; C. Barcelo and M. Visser, gr-qc/0008008.
34. P. Binetruy, C. Deffayet, and D. Langlois, Nucl. Phys. B 565 (2000) 269, hep-th/9905012; J. Cline, C. Grojean, and G. Servant, Phys, Rev. Lett. 83 (1999) 4245; S. Giddings, E. Katz, and L. Randall, JHEP 0003 (2000) 023; E. Flanagan, S. Tye, and I. Wasserman, hep-ph/9909373; C. Csaki, M. Graesser, C. Kolda, and J. Terning, Phys. Lett. B 462 (1999) 34; P. Kanti, I. Kogan, K. Olive, and M. Pospelov, Phys. Lett. B 468 (1999) 31; S.Mukohyama, T. Shiromizu, and K. Maeda, Phys. Rev. D 62 (2000) 024028, hep-th/9912287; K. Behrndt and M. Cvetic, hep-th/9909058; M. Cvetic and J. Wang, hep-th/9912187; R. Kallosh and A. Linde, JHEP 0002 (2000) 005; D. Youm, hep-th/0002147; J. Chen, M. Luty, and E. Ponton, hep-th/0003067; S. de Alwis, A. Flournoy, and N. Irges, hep-th/0004125; R. Gregory, V.A. Rubakov, and S. Sibiryakov, Phys. Rev. Lett. 84 (2000) 5928; S. Nojiri and S.D. Odintsov, JHEP 0007 (2000) 049, hep-th/0006232; C. Zhu, JHEP 0006 (2000) 034, hep-th/0005230; H. Davouddiasl, J. Hewett, and T. Rizzo, hep-ph/0006041; P. Binetruy, J.M. Cline, and C. Crojean, hep-th/0007029; N. Mavromatos and J. Rizos, hep-th/0008074; I. Neupane, hep-th/0008190; K. Akama and T. Hattori, hep-th/0008133; C. Barcelo and M. Visser, gr-qc/0008008.
35. P. Binetruy, C. Deffayet, and D. Langlois, Nucl. Phys. B 565 (2000) 269, hep-th/9905012; J. Cline, C. Grojean, and G. Servant, Phys, Rev. Lett. 83 (1999) 4245; S. Giddings, E. Katz, and L. Randall, JHEP 0003 (2000) 023; E. Flanagan, S. Tye, and I. Wasserman, hep-ph/9909373; C. Csaki, M. Graesser, C. Kolda, and J. Terning, Phys. Lett. B 462 (1999) 34; P. Kanti, I. Kogan, K. Olive, and M. Pospelov, Phys. Lett. B 468 (1999) 31; S.Mukohyama, T. Shiromizu, and K. Maeda, Phys. Rev. D 62 (2000) 024028, hep-th/9912287; K. Behrndt and M. Cvetic, hep-th/9909058; M. Cvetic and J. Wang, hep-th/9912187; R. Kallosh and A. Linde, JHEP 0002 (2000) 005; D. Youm, hep-th/0002147; J. Chen, M. Luty, and E. Ponton, hep-th/0003067; S. de Alwis, A. Flournoy, and N. Irges, hep-th/0004125; R. Gregory, V.A. Rubakov, and S. Sibiryakov, Phys. Rev. Lett. 84 (2000) 5928; S. Nojiri and S.D. Odintsov, JHEP 0007 (2000) 049, hep-th/0006232; C. Zhu, JHEP 0006 (2000) 034, hep-th/0005230; H. Davouddiasl, J. Hewett, and T. Rizzo, hep-ph/0006041; P. Binetruy, J.M. Cline, and C. Crojean, hep-th/0007029; N. Mavromatos and J. Rizos, hep-th/0008074; I. Neupane, hep-th/0008190; K. Akama and T. Hattori, hep-th/0008133; C. Barcelo and M. Visser, gr-qc/0008008.
36. P. Binetruy, C. Deffayet, and D. Langlois, Nucl. Phys. B 565 (2000) 269, hep-th/9905012; J. Cline, C. Grojean, and G. Servant, Phys, Rev. Lett. 83 (1999) 4245; S. Giddings, E. Katz, and L. Randall, JHEP 0003 (2000) 023; E. Flanagan, S. Tye, and I. Wasserman, hep-ph/9909373; C. Csaki, M. Graesser, C. Kolda, and J. Terning, Phys. Lett. B 462 (1999) 34; P. Kanti, I. Kogan, K. Olive, and M. Pospelov, Phys. Lett. B 468 (1999) 31; S.Mukohyama, T. Shiromizu, and K. Maeda, Phys. Rev. D 62 (2000) 024028, hep-th/9912287; K. Behrndt and M. Cvetic, hep-th/9909058; M. Cvetic and J. Wang, hep-th/9912187; R. Kallosh and A. Linde, JHEP 0002 (2000) 005; D. Youm, hep-th/0002147; J. Chen, M. Luty, and E. Ponton, hep-th/0003067; S. de Alwis, A. Flournoy, and N. Irges, hep-th/0004125; R. Gregory, V.A. Rubakov, and S. Sibiryakov, Phys. Rev. Lett. 84 (2000) 5928; S. Nojiri and S.D. Odintsov, JHEP 0007 (2000) 049, hep-th/0006232; C. Zhu, JHEP 0006 (2000) 034, hep-th/0005230; H. Davouddiasl, J. Hewett, and T. Rizzo, hep-ph/0006041; P. Binetruy, J.M. Cline, and C. Crojean, hep-th/0007029; N. Mavromatos and J. Rizos, hep-th/0008074; I. Neupane, hep-th/0008190; K. Akama and T. Hattori, hep-th/0008133; C. Barcelo and M. Visser, gr-qc/0008008.
37. S.W. Hawking, T. Hertog, and H.S. Reall, Phys. Rev. D 62 (2000) 043501, hep-th/0003052.
38. S. Nojiri, S.D. Odintsov, and S. Zerbini, Phys. Rev. D 62 (2000) 064006, hep-th/0001192; S. Nojiri and S.D. Odintsov, Phys. Lett. B 484 (2000) 119, hep-th/0004097.
39. S. Nojiri, S.D. Odintsov, and S. Zerbini, Phys. Rev. D 62 (2000) 064006, hep-th/0001192; S. Nojiri and S.D. Odintsov, Phys. Lett. B 484 (2000) 119, hep-th/0004097.
40. N. Arkani-Hamed, S. Dimopoulos, N. Kaioper, and R. Sundrum, hep-th/0001197; S. Kachru, M. Schultz, and E. Silverstein, hep-th/0001206.
41. N. Arkani-Hamed, S. Dimopoulos, N. Kaioper, and R. Sundrum, hep-th/0001197; S. Kachru, M. Schultz, and E. Silverstein, hep-th/0001206.
42. N. Arkani-Hamed, S. Dimopoulos, G. Dvali, and N. Kaioper, Phys. Rev. Lett. 84 (2000) 586, hep-th/9907209.
43. J.M. Maldacena, Adv. Theor. Math. Phys. 2 (1998) 231; E. Witten, Adv. Theor. Math. Phys. 2 (1998) 253; S. Gubser, I.R. Klebanov, and A.M. Polyakov, Phys. Lett. B 428 (1998) 105.
44. J.M. Maldacena, Adv. Theor. Math. Phys. 2 (1998) 231; E. Witten, Adv. Theor. Math. Phys. 2 (1998) 253; S. Gubser, I.R. Klebanov, and A.M. Polyakov, Phys. Lett. B 428 (1998) 105.
45. J.M. Maldacena, Adv. Theor. Math. Phys. 2 (1998) 231; E. Witten, Adv. Theor. Math. Phys. 2 (1998) 253; S. Gubser, I.R. Klebanov, and A.M. Polyakov, Phys. Lett. B 428 (1998) 105.
46. S. Nojiri, O. Obregon, and S.D. Odintsov, Phys. Rev. D 62 (2000) 104003, hep-th/0005127.
47. L. Anchordoqui, C. Nunez, and K. Olsen, hep-th/0007064; L. Anchordoqui and K. Olsen, hep-th/0008102.
48. L. Anchordoqui, C. Nunez, and K. Olsen, hep-th/0007064; L. Anchordoqui and K. Olsen, hep-th/0008102.
49. I.L. Buchbinder, S.D. Odintsov, and I.L. Shapiro, Effective Action in Quantum Gravity, (IOP Publishing, Bristol and Philadelphia, 1992).
50. H. Liu and A. Tseytlin, Nucl. Phys. B 533 (1998) 88, hep-th/9804083; S. Nojiri and S.D. Odintsov, Phys. Lett. B 444 (1998) 92.
51. H. Liu and A. Tseytlin, Nucl. Phys. B 533 (1998) 88, hep-th/9804083; S. Nojiri and S.D. Odintsov, Phys. Lett. B 444 (1998) 92.
52. P. van Nieuwenhuizen, S. Nojiri, and S.D. Odintsov, Phys. Rev. 060 (1999) 084014.
53. A. Starobinsky, Phys. Lett. B 91 (1980) 99.
54. C. Csái, J. Erlich, C. Crojean, and T.J. Hollowood, hep-th/0004133.
55. I. Brevik and S.D. Odintsov, Phys. Lett. B 455 (1999) 104, hep-th/9902418; B. Geyer, S.D. Odintsov, and S. Zerbini, Phys. Lett. 5460 (1999) 58.
56. I. Brevik and S.D. Odintsov, Phys. Lett. B 455 (1999) 104, hep-th/9902418; B. Geyer, S.D. Odintsov, and S. Zerbini, Phys. Lett. 5460 (1999) 58.
57. H. Hatanaka, M. Sakamoto, M. Tachibana, and K. Takenaga, Prog. Theor. Phys. 102 (1999) 1213, hep-th/9909076.
58. S. Nojiri, S.D. Odintsov, and S. Zerbini, Class. Quant. Grav. 17 (2000) 4855, hep-th/0006115.
59. J. Garriga, O. Pujolas, and T. Tanaka, hep-th/004109.
60. S. Nojiri, S.D. Odintsov, and K.E. Osetrin, Phys. Rev. D, to appear, hep-th/0009059.