Cosmology with the Dp-brane gas

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 61, Issue 8, 2000, Pages 1-4

  Park, Chanyong ^a   Sin, Sang Jin ^a   Lee, Sunggeun ^a  

^a Hanyang University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 17044401277     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.61.083514     Document Type: Article

References (35)

1. E. Witten, Nucl. Phys. B460, 335 (1996).
2. J. Polchinski, Phys. Rev. Lett. 75, 4724 (1995); J. Polchinski, S. Chaudhuri, and C. V. Johnson, hep-th/9602052; E. Witten, Nucl. Phys. B460, 335 (1996).
3. J. Polchinski, Phys. Rev. Lett. 75, 4724 (1995); J. Polchinski, S. Chaudhuri, and C. V. Johnson, hep-th/9602052; E. Witten, Nucl. Phys. B460, 335 (1996).
4. G. Veneziano, hep-th/9510027; for string cosmology there are a vast number of references. Here we list some of the relevant ones and for more references: see Mod. Phys. Lett. A 8, 3701 (1993), and references therein; G. Veneziano, Phys. Lett. B 265, 287 (1991); M. Gasperini, J. Maharana, and G. Veneziano, Nucl. Phys. B472, 349 (1996); S.-J. Rey, Phys. Rev. Lett. 77, 1929 (1996); Nucl. Phys. B (Proc. Suppl.) 52A, 334 (1997); hep-th/9609115; M. Gasperini and G. Veneziano, Phys. Lett. B 387, 715 (1996); R. Brustein and G. Veneziano, ibid. 329, 429 (1994); E. J. Copeland, A. Lahiri, and D. Wands, Phys. Rev. D 50, 4868 (1994); H. Lu, S. Mukherji, and C. N. Pope, ibid. 55, 7926 (1997); A. Lukas, B. A. Ovrut, and D. A. Waldram, Phys. Lett. B 393, 65 (1997); Nucl. Phys. B495, 365 (1997); B509, 169 (1998); S. Mukherji, Mod. Phys. Lett. A 12, 639 (1997).
5. G. Veneziano, hep-th/9510027; for string cosmology there are a vast number of references. Here we list some of the relevant ones and for more references: see Mod. Phys. Lett. A 8, 3701 (1993), and references therein; G. Veneziano, Phys. Lett. B 265, 287 (1991); M. Gasperini, J. Maharana, and G. Veneziano, Nucl. Phys. B472, 349 (1996); S.-J. Rey, Phys. Rev. Lett. 77, 1929 (1996); Nucl. Phys. B (Proc. Suppl.) 52A, 334 (1997); hep-th/9609115; M. Gasperini and G. Veneziano, Phys. Lett. B 387, 715 (1996); R. Brustein and G. Veneziano, ibid. 329, 429 (1994); E. J. Copeland, A. Lahiri, and D. Wands, Phys. Rev. D 50, 4868 (1994); H. Lu, S. Mukherji, and C. N. Pope, ibid. 55, 7926 (1997); A. Lukas, B. A. Ovrut, and D. A. Waldram, Phys. Lett. B 393, 65 (1997); Nucl. Phys. B495, 365 (1997); B509, 169 (1998); S. Mukherji, Mod. Phys. Lett. A 12, 639 (1997).
6. G. Veneziano, hep-th/9510027; for string cosmology there are a vast number of references. Here we list some of the relevant ones and for more references: see Mod. Phys. Lett. A 8, 3701 (1993), and references therein; G. Veneziano, Phys. Lett. B 265, 287 (1991); M. Gasperini, J. Maharana, and G. Veneziano, Nucl. Phys. B472, 349 (1996); S.-J. Rey, Phys. Rev. Lett. 77, 1929 (1996); Nucl. Phys. B (Proc. Suppl.) 52A, 334 (1997); hep-th/9609115; M. Gasperini and G. Veneziano, Phys. Lett. B 387, 715 (1996); R. Brustein and G. Veneziano, ibid. 329, 429 (1994); E. J. Copeland, A. Lahiri, and D. Wands, Phys. Rev. D 50, 4868 (1994); H. Lu, S. Mukherji, and C. N. Pope, ibid. 55, 7926 (1997); A. Lukas, B. A. Ovrut, and D. A. Waldram, Phys. Lett. B 393, 65 (1997); Nucl. Phys. B495, 365 (1997); B509, 169 (1998); S. Mukherji, Mod. Phys. Lett. A 12, 639 (1997).
7. G. Veneziano, hep-th/9510027; for string cosmology there are a vast number of references. Here we list some of the relevant ones and for more references: see Mod. Phys. Lett. A 8, 3701 (1993), and references therein; G. Veneziano, Phys. Lett. B 265, 287 (1991); M. Gasperini, J. Maharana, and G. Veneziano, Nucl. Phys. B472, 349 (1996); S.-J. Rey, Phys. Rev. Lett. 77, 1929 (1996); Nucl. Phys. B (Proc. Suppl.) 52A, 334 (1997); hep-th/9609115; M. Gasperini and G. Veneziano, Phys. Lett. B 387, 715 (1996); R. Brustein and G. Veneziano, ibid. 329, 429 (1994); E. J. Copeland, A. Lahiri, and D. Wands, Phys. Rev. D 50, 4868 (1994); H. Lu, S. Mukherji, and C. N. Pope, ibid. 55, 7926 (1997); A. Lukas, B. A. Ovrut, and D. A. Waldram, Phys. Lett. B 393, 65 (1997); Nucl. Phys. B495, 365 (1997); B509, 169 (1998); S. Mukherji, Mod. Phys. Lett. A 12, 639 (1997).
8. G. Veneziano, hep-th/9510027; for string cosmology there are a vast number of references. Here we list some of the relevant ones and for more references: see Mod. Phys. Lett. A 8, 3701 (1993), and references therein; G. Veneziano, Phys. Lett. B 265, 287 (1991); M. Gasperini, J. Maharana, and G. Veneziano, Nucl. Phys. B472, 349 (1996); S.-J. Rey, Phys. Rev. Lett. 77, 1929 (1996); Nucl. Phys. B (Proc. Suppl.) 52A, 334 (1997); hep-th/9609115; M. Gasperini and G. Veneziano, Phys. Lett. B 387, 715 (1996); R. Brustein and G. Veneziano, ibid. 329, 429 (1994); E. J. Copeland, A. Lahiri, and D. Wands, Phys. Rev. D 50, 4868 (1994); H. Lu, S. Mukherji, and C. N. Pope, ibid. 55, 7926 (1997); A. Lukas, B. A. Ovrut, and D. A. Waldram, Phys. Lett. B 393, 65 (1997); Nucl. Phys. B495, 365 (1997); B509, 169 (1998); S. Mukherji, Mod. Phys. Lett. A 12, 639 (1997).
9. G. Veneziano, hep-th/9510027; for string cosmology there are a vast number of references. Here we list some of the relevant ones and for more references: see Mod. Phys. Lett. A 8, 3701 (1993), and references therein; G. Veneziano, Phys. Lett. B 265, 287 (1991); M. Gasperini, J. Maharana, and G. Veneziano, Nucl. Phys. B472, 349 (1996); S.-J. Rey, Phys. Rev. Lett. 77, 1929 (1996); Nucl. Phys. B (Proc. Suppl.) 52A, 334 (1997); hep-th/9609115; M. Gasperini and G. Veneziano, Phys. Lett. B 387, 715 (1996); R. Brustein and G. Veneziano, ibid. 329, 429 (1994); E. J. Copeland, A. Lahiri, and D. Wands, Phys. Rev. D 50, 4868 (1994); H. Lu, S. Mukherji, and C. N. Pope, ibid. 55, 7926 (1997); A. Lukas, B. A. Ovrut, and D. A. Waldram, Phys. Lett. B 393, 65 (1997); Nucl. Phys. B495, 365 (1997); B509, 169 (1998); S. Mukherji, Mod. Phys. Lett. A 12, 639 (1997).
10. G. Veneziano, hep-th/9510027; for string cosmology there are a vast number of references. Here we list some of the relevant ones and for more references: see Mod. Phys. Lett. A 8, 3701 (1993), and references therein; G. Veneziano, Phys. Lett. B 265, 287 (1991); M. Gasperini, J. Maharana, and G. Veneziano, Nucl. Phys. B472, 349 (1996); S.-J. Rey, Phys. Rev. Lett. 77, 1929 (1996); Nucl. Phys. B (Proc. Suppl.) 52A, 334 (1997); hep-th/9609115; M. Gasperini and G. Veneziano, Phys. Lett. B 387, 715 (1996); R. Brustein and G. Veneziano, ibid. 329, 429 (1994); E. J. Copeland, A. Lahiri, and D. Wands, Phys. Rev. D 50, 4868 (1994); H. Lu, S. Mukherji, and C. N. Pope, ibid. 55, 7926 (1997); A. Lukas, B. A. Ovrut, and D. A. Waldram, Phys. Lett. B 393, 65 (1997); Nucl. Phys. B495, 365 (1997); B509, 169 (1998); S. Mukherji, Mod. Phys. Lett. A 12, 639 (1997).
11. G. Veneziano, hep-th/9510027; for string cosmology there are a vast number of references. Here we list some of the relevant ones and for more references: see Mod. Phys. Lett. A 8, 3701 (1993), and references therein; G. Veneziano, Phys. Lett. B 265, 287 (1991); M. Gasperini, J. Maharana, and G. Veneziano, Nucl. Phys. B472, 349 (1996); S.-J. Rey, Phys. Rev. Lett. 77, 1929 (1996); Nucl. Phys. B (Proc. Suppl.) 52A, 334 (1997); hep-th/9609115; M. Gasperini and G. Veneziano, Phys. Lett. B 387, 715 (1996); R. Brustein and G. Veneziano, ibid. 329, 429 (1994); E. J. Copeland, A. Lahiri, and D. Wands, Phys. Rev. D 50, 4868 (1994); H. Lu, S. Mukherji, and C. N. Pope, ibid. 55, 7926 (1997); A. Lukas, B. A. Ovrut, and D. A. Waldram, Phys. Lett. B 393, 65 (1997); Nucl. Phys. B495, 365 (1997); B509, 169 (1998); S. Mukherji, Mod. Phys. Lett. A 12, 639 (1997).
12. G. Veneziano, hep-th/9510027; for string cosmology there are a vast number of references. Here we list some of the relevant ones and for more references: see Mod. Phys. Lett. A 8, 3701 (1993), and references therein; G. Veneziano, Phys. Lett. B 265, 287 (1991); M. Gasperini, J. Maharana, and G. Veneziano, Nucl. Phys. B472, 349 (1996); S.-J. Rey, Phys. Rev. Lett. 77, 1929 (1996); Nucl. Phys. B (Proc. Suppl.) 52A, 334 (1997); hep-th/9609115; M. Gasperini and G. Veneziano, Phys. Lett. B 387, 715 (1996); R. Brustein and G. Veneziano, ibid. 329, 429 (1994); E. J. Copeland, A. Lahiri, and D. Wands, Phys. Rev. D 50, 4868 (1994); H. Lu, S. Mukherji, and C. N. Pope, ibid. 55, 7926 (1997); A. Lukas, B. A. Ovrut, and D. A. Waldram, Phys. Lett. B 393, 65 (1997); Nucl. Phys. B495, 365 (1997); B509, 169 (1998); S. Mukherji, Mod. Phys. Lett. A 12, 639 (1997).
13. G. Veneziano, hep-th/9510027; for string cosmology there are a vast number of references. Here we list some of the relevant ones and for more references: see Mod. Phys. Lett. A 8, 3701 (1993), and references therein; G. Veneziano, Phys. Lett. B 265, 287 (1991); M. Gasperini, J. Maharana, and G. Veneziano, Nucl. Phys. B472, 349 (1996); S.-J. Rey, Phys. Rev. Lett. 77, 1929 (1996); Nucl. Phys. B (Proc. Suppl.) 52A, 334 (1997); hep-th/9609115; M. Gasperini and G. Veneziano, Phys. Lett. B 387, 715 (1996); R. Brustein and G. Veneziano, ibid. 329, 429 (1994); E. J. Copeland, A. Lahiri, and D. Wands, Phys. Rev. D 50, 4868 (1994); H. Lu, S. Mukherji, and C. N. Pope, ibid. 55, 7926 (1997); A. Lukas, B. A. Ovrut, and D. A. Waldram, Phys. Lett. B 393, 65 (1997); Nucl. Phys. B495, 365 (1997); B509, 169 (1998); S. Mukherji, Mod. Phys. Lett. A 12, 639 (1997).
14. G. Veneziano, hep-th/9510027; for string cosmology there are a vast number of references. Here we list some of the relevant ones and for more references: see Mod. Phys. Lett. A 8, 3701 (1993), and references therein; G. Veneziano, Phys. Lett. B 265, 287 (1991); M. Gasperini, J. Maharana, and G. Veneziano, Nucl. Phys. B472, 349 (1996); S.-J. Rey, Phys. Rev. Lett. 77, 1929 (1996); Nucl. Phys. B (Proc. Suppl.) 52A, 334 (1997); hep-th/9609115; M. Gasperini and G. Veneziano, Phys. Lett. B 387, 715 (1996); R. Brustein and G. Veneziano, ibid. 329, 429 (1994); E. J. Copeland, A. Lahiri, and D. Wands, Phys. Rev. D 50, 4868 (1994); H. Lu, S. Mukherji, and C. N. Pope, ibid. 55, 7926 (1997); A. Lukas, B. A. Ovrut, and D. A. Waldram, Phys. Lett. B 393, 65 (1997); Nucl. Phys. B495, 365 (1997); B509, 169 (1998); S. Mukherji, Mod. Phys. Lett. A 12, 639 (1997).
15. G. Veneziano, hep-th/9510027; for string cosmology there are a vast number of references. Here we list some of the relevant ones and for more references: see Mod. Phys. Lett. A 8, 3701 (1993), and references therein; G. Veneziano, Phys. Lett. B 265, 287 (1991); M. Gasperini, J. Maharana, and G. Veneziano, Nucl. Phys. B472, 349 (1996); S.-J. Rey, Phys. Rev. Lett. 77, 1929 (1996); Nucl. Phys. B (Proc. Suppl.) 52A, 334 (1997); hep-th/9609115; M. Gasperini and G. Veneziano, Phys. Lett. B 387, 715 (1996); R. Brustein and G. Veneziano, ibid. 329, 429 (1994); E. J. Copeland, A. Lahiri, and D. Wands, Phys. Rev. D 50, 4868 (1994); H. Lu, S. Mukherji, and C. N. Pope, ibid. 55, 7926 (1997); A. Lukas, B. A. Ovrut, and D. A. Waldram, Phys. Lett. B 393, 65 (1997); Nucl. Phys. B495, 365 (1997); B509, 169 (1998); S. Mukherji, Mod. Phys. Lett. A 12, 639 (1997).
16. G. Veneziano, hep-th/9510027; for string cosmology there are a vast number of references. Here we list some of the relevant ones and for more references: see Mod. Phys. Lett. A 8, 3701 (1993), and references therein; G. Veneziano, Phys. Lett. B 265, 287 (1991); M. Gasperini, J. Maharana, and G. Veneziano, Nucl. Phys. B472, 349 (1996); S.-J. Rey, Phys. Rev. Lett. 77, 1929 (1996); Nucl. Phys. B (Proc. Suppl.) 52A, 334 (1997); hep-th/9609115; M. Gasperini and G. Veneziano, Phys. Lett. B 387, 715 (1996); R. Brustein and G. Veneziano, ibid. 329, 429 (1994); E. J. Copeland, A. Lahiri, and D. Wands, Phys. Rev. D 50, 4868 (1994); H. Lu, S. Mukherji, and C. N. Pope, ibid. 55, 7926 (1997); A. Lukas, B. A. Ovrut, and D. A. Waldram, Phys. Lett. B 393, 65 (1997); Nucl. Phys. B495, 365 (1997); B509, 169 (1998); S. Mukherji, Mod. Phys. Lett. A 12, 639 (1997).
17. M. J. Duff, R. R. Khuri, and J. X. Lu, Phys. Rep. 259, 213 (1995).
18. Chanyong Park and Sang-Jin Sin, Phys. Rev. D 57, 4620 (1998); J. Korean Phys. Soc. 34, 463 (1999).
19. Chanyong Park and Sang-Jin Sin, Phys. Rev. D 57, 4620 (1998); J. Korean Phys. Soc. 34, 463 (1999).
20. Sung-geun Lee and Sang-Jin Sin, J. Korean Phys. Soc. 32, 102 (1998).
21. S. K. Rama, Phys. Lett. B 408, 91 (1997). For earlier graviton-dilaton models, see Phys. Rev. Lett. 78, 1620 (1997); Phys. Rev. D 56, 6230 (1997).
22. S. K. Rama, Phys. Lett. B 408, 91 (1997). For earlier graviton-dilaton models, see Phys. Rev. Lett. 78, 1620 (1997); Phys. Rev. D 56, 6230 (1997).
23. S. K. Rama, Phys. Lett. B 408, 91 (1997). For earlier graviton-dilaton models, see Phys. Rev. Lett. 78, 1620 (1997); Phys. Rev. D 56, 6230 (1997).
24. S. Weinberg, Gravitation and Cosmology (Wiley, New York, 1972).
25. G. Veneziano, Phys. Lett. B 265, 287 (1991).
26. H. Lü, S. Mukherji, and C. Pope, Int. J. Mod. Phys. A 14, 4121 (1999).
27. R. Brandenberger and C. Vafa, Nucl. Phys. B316, 391 (1988); A. A. Tseytlin and C. Vafa, ibid. B372, 443 (1992); A. A. Tseytlin, Class. Quantum Grav. 9, 979 (1992); N. Sanchez and G. Veneziano, Nucl. Phys. B333, 253 (1990); G. Veneziano, Phys. Lett. B 265, 287 (1991); M. Gasperini, N. Sanchez, and G. Veneziano, Nucl. Phys. B364, 365 (1991); M. Gasperini and G. Veneziano, Astropart. Phys. 1, 317 (1992); Mod. Phys. Lett. A 8, 3701 (1993), and references therein.
28. R. Brandenberger and C. Vafa, Nucl. Phys. B316, 391 (1988); A. A. Tseytlin and C. Vafa, ibid. B372, 443 (1992); A. A. Tseytlin, Class. Quantum Grav. 9, 979 (1992); N. Sanchez and G. Veneziano, Nucl. Phys. B333, 253 (1990); G. Veneziano, Phys. Lett. B 265, 287 (1991); M. Gasperini, N. Sanchez, and G. Veneziano, Nucl. Phys. B364, 365 (1991); M. Gasperini and G. Veneziano, Astropart. Phys. 1, 317 (1992); Mod. Phys. Lett. A 8, 3701 (1993), and references therein.
29. R. Brandenberger and C. Vafa, Nucl. Phys. B316, 391 (1988); A. A. Tseytlin and C. Vafa, ibid. B372, 443 (1992); A. A. Tseytlin, Class. Quantum Grav. 9, 979 (1992); N. Sanchez and G. Veneziano, Nucl. Phys. B333, 253 (1990); G. Veneziano, Phys. Lett. B 265, 287 (1991); M. Gasperini, N. Sanchez, and G. Veneziano, Nucl. Phys. B364, 365 (1991); M. Gasperini and G. Veneziano, Astropart. Phys. 1, 317 (1992); Mod. Phys. Lett. A 8, 3701 (1993), and references therein.
30. R. Brandenberger and C. Vafa, Nucl. Phys. B316, 391 (1988); A. A. Tseytlin and C. Vafa, ibid. B372, 443 (1992); A. A. Tseytlin, Class. Quantum Grav. 9, 979 (1992); N. Sanchez and G. Veneziano, Nucl. Phys. B333, 253 (1990); G. Veneziano, Phys. Lett. B 265, 287 (1991); M. Gasperini, N. Sanchez, and G. Veneziano, Nucl. Phys. B364, 365 (1991); M. Gasperini and G. Veneziano, Astropart. Phys. 1, 317 (1992); Mod. Phys. Lett. A 8, 3701 (1993), and references therein.
31. R. Brandenberger and C. Vafa, Nucl. Phys. B316, 391 (1988); A. A. Tseytlin and C. Vafa, ibid. B372, 443 (1992); A. A. Tseytlin, Class. Quantum Grav. 9, 979 (1992); N. Sanchez and G. Veneziano, Nucl. Phys. B333, 253 (1990); G. Veneziano, Phys. Lett. B 265, 287 (1991); M. Gasperini, N. Sanchez, and G. Veneziano, Nucl. Phys. B364, 365 (1991); M. Gasperini and G. Veneziano, Astropart. Phys. 1, 317 (1992); Mod. Phys. Lett. A 8, 3701 (1993), and references therein.
32. R. Brandenberger and C. Vafa, Nucl. Phys. B316, 391 (1988); A. A. Tseytlin and C. Vafa, ibid. B372, 443 (1992); A. A. Tseytlin, Class. Quantum Grav. 9, 979 (1992); N. Sanchez and G. Veneziano, Nucl. Phys. B333, 253 (1990); G. Veneziano, Phys. Lett. B 265, 287 (1991); M. Gasperini, N. Sanchez, and G. Veneziano, Nucl. Phys. B364, 365 (1991); M. Gasperini and G. Veneziano, Astropart. Phys. 1, 317 (1992); Mod. Phys. Lett. A 8, 3701 (1993), and references therein.
33. R. Brandenberger and C. Vafa, Nucl. Phys. B316, 391 (1988); A. A. Tseytlin and C. Vafa, ibid. B372, 443 (1992); A. A. Tseytlin, Class. Quantum Grav. 9, 979 (1992); N. Sanchez and G. Veneziano, Nucl. Phys. B333, 253 (1990); G. Veneziano, Phys. Lett. B 265, 287 (1991); M. Gasperini, N. Sanchez, and G. Veneziano, Nucl. Phys. B364, 365 (1991); M. Gasperini and G. Veneziano, Astropart. Phys. 1, 317 (1992); Mod. Phys. Lett. A 8, 3701 (1993), and references therein.
34. R. Brandenberger and C. Vafa, Nucl. Phys. B316, 391 (1988); A. A. Tseytlin and C. Vafa, ibid. B372, 443 (1992); A. A. Tseytlin, Class. Quantum Grav. 9, 979 (1992); N. Sanchez and G. Veneziano, Nucl. Phys. B333, 253 (1990); G. Veneziano, Phys. Lett. B 265, 287 (1991); M. Gasperini, N. Sanchez, and G. Veneziano, Nucl. Phys. B364, 365 (1991); M. Gasperini and G. Veneziano, Astropart. Phys. 1, 317 (1992); Mod. Phys. Lett. A 8, 3701 (1993), and references therein.
35. Sunggeun Lee, Chanyong Park, and Sang-Jin Sin (in preparation).