Quantum field theories with compact non-commutative extra dimensions

Journal of High Energy Physics

Volumn 4, Issue 8 PART B, 2000, Pages 1-15

  Gomis, Jaume ^a   Mehen, Thomas ^a   Wise, Mark B ^a  

^a NONE

Author keywords

Extra Large Dimensions; Field Theories in Higher Dimensions; Non Commutative Geometry

Indexed keywords

EID: 6944229900     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: 10.1088/1126-6708/2000/08/029     Document Type: Article

References (41)

1. S. Minwalla, M.V. Raamsdonk and N. Seiberg, Noncommutative perturbative dynamics, hep-th/9912072.
2. M. V. Raamsdonk and N. Seiberg, Comments on noncommutative perturbative dynamics, J. High Energy Phys. 03 (2000) 035 [hep-th/0002186].
3. 4, hep-th/9912167.
4. W. Fischler, E. Gorbatov, A. Kashani-Poor, S. Paban, P. Pouliot and J. Gomis, Evidence for winding states in noncommutative quantum field theory, J. High Energy Phys. 05 (2000) 024 [hep-th/0002067].
5. A. Matusis, L. Susskind and N. Toumbas, The IR/UV connection in the noncommutative gauge theories, hep-th/0002075.
6. T. Filk, Divergencies in a field theory on quantum space, Phys. Lett. B 376 (1996) 53.
7. J. C. Varilly and J.M. Gracia-Bondia, On the ultraviolet behaviour of quantum fields over noncommutative manifolds, Int. J. Mod. Phys. A 14 (1999) 1305 [hep-th/ 9804001].
8. q(2) symmetry, J. Math. Phys. 41 (2000) 1647 [hep-th/9904132].
9. q(2) symmetry, J. Math. Phys. 41 (2000) 1647 [hep-th/9904132].
10. 4, Phys. Rev. Lett. 83 (1999) 476 [hep-th/9903077].
11. M.M. Sheikh-Jabbari, Renormalizability of the supersymmetric Yang-Mills theories on the noncommutative torus, J. High Energy Phys. 06 (1999) 015 [hep-th/9903107]; Noncommutative super Yang-Mills theories with 8 supercharges and brane configurations, hep-th/0001089.
12. M.M. Sheikh-Jabbari, Renormalizability of the supersymmetric Yang-Mills theories on the noncommutative torus, J. High Energy Phys. 06 (1999) 015 [hep-th/9903107]; Noncommutative super Yang-Mills theories with 8 supercharges and brane configurations, hep-th/0001089.
13. 4 theory, Phys. Lett. B 476 (2000) 431 [hep-th/9912075]; A note on UV/IR for noncommutative complex scalar field, hep-th/0001215; I.Y. Aref'eva, D.M. Belov, A.S. Koshelev and O.A. Rytchkov, UV/IR mixing for noncommutative complex scalar field theory, 2. Interaction with gauge fields, hep-th/0003176.
14. 4 theory, Phys. Lett. B 476 (2000) 431 [hep-th/9912075]; A note on UV/IR for noncommutative complex scalar field, hep-th/0001215; I.Y. Aref'eva, D.M. Belov, A.S. Koshelev and O.A. Rytchkov, UV/IR mixing for noncommutative complex scalar field theory, 2. Interaction with gauge fields, hep-th/0003176.
15. 4 theory, Phys. Lett. B 476 (2000) 431 [hep-th/9912075]; A note on UV/IR for noncommutative complex scalar field, hep-th/0001215; I.Y. Aref'eva, D.M. Belov, A.S. Koshelev and O.A. Rytchkov, UV/IR mixing for noncommutative complex scalar field theory, 2. Interaction with gauge fields, hep-th/0003176.
16. T. Krajewski and R. Wulkenhaar, Perturbative quantum gauge fields on the noncommutative torus, Int. J. Mod. Phys. A 15 (2000) 1011 [hep-th/9903187]; H. Grosse, T. Krajewski and R. Wulkenhaar, Renormalization of noncommutative Yang-Mills theories: a simple example, hep-th/0001182.
17. T. Krajewski and R. Wulkenhaar, Perturbative quantum gauge fields on the noncommutative torus, Int. J. Mod. Phys. A 15 (2000) 1011 [hep-th/9903187]; H. Grosse, T. Krajewski and R. Wulkenhaar, Renormalization of noncommutative Yang-Mills theories: a simple example, hep-th/0001182.
18. S. Cho, R. Hinterding, J. Madore and H. Steinacker, Finite field theory on noncommutative geometries, Int. J. Mod. Phys. D9 (2000) 161 [hep-th/9903239].
19. E. Hawkins, Noncommutative regularization for the practical man, hep-th/9908052.
20. d, 1. Scalars, J. High Energy Phys. 05 (2000) 037 [hep-th/9911098].
21. H.O. Girotti, M. Gomes, V.O. Rivelles and A.J. da Silva, A consistent noncommutative field theory: the Wess-Zumino model, hep-th/0005272.
22. S.S. Gubser and S.L. Sondhi, Phase structure of non-commutative scalar field theories, hep-th/0006119.
23. J. Gomis and T. Mehen, Space-time noncommutative field theories and unitarity, hep-th/0005129.
24. A. Connes, M.R. Douglas and A. Schwarz, Noncommutative geometry and matrix theory: compactification on tori, J. High Energy Phys. 02 (1998) 003 [hep-th/9711162].
25. M.R. Douglas and C. Hull, D-branes and the noncommutative torus, J. High Energy Phys. 02 (1998) 008 [hep-th/9711165].
26. N. Seiberg and E. Witten, String theory and noncommutative geometry, J. High Energy Phys. 09 (1999) 032 [hep-th/9908142].
27. Y.-K.E. Cheung and M. Krogh, Noncommutative geometry from 0-branes in a background B-field, Nucl. Phys. B 528 (1998) 185 [hep-th/9803031].
28. C.-S. Chu and P.-M. Ho, Noncommutative open string and D-brane, Nucl. Phys. B 550 (1999) 151 [hep-th/9812219]; Constrained quantization of open string in Background B-field and noncommutative D-brane, Nucl. Phys. B 568 (2000) 447 [hep-th/9906192].
29. C.-S. Chu and P.-M. Ho, Noncommutative open string and D-brane, Nucl. Phys. B 550 (1999) 151 [hep-th/9812219]; Constrained quantization of open string in Background B-field and noncommutative D-brane, Nucl. Phys. B 568 (2000) 447 [hep-th/9906192].
30. V. Schomerus, D-branes and deformation quantization, J. High Energy Phys. 06 (1999) 030 [hep-th/9903205].
31. F. Ardalan, H. Arfaei and M.M. Sheikh-Jabbari, Mixed branes and m(atrix) theory on noncommutative torus, hep-th/9803067; Noncommutative geometry from strings and branes, J. High Energy Phys. 02 (1999) 016 [hep-th/9810072]; Dirac quantization of open strings and noncommutativity in branes, Nucl. Phys. B 576 (2000) 578 [hep-th/9906161].
32. F. Ardalan, H. Arfaei and M.M. Sheikh-Jabbari, Mixed branes and m(atrix) theory on noncommutative torus, hep-th/9803067; Noncommutative geometry from strings and branes, J. High Energy Phys. 02 (1999) 016 [hep-th/9810072]; Dirac quantization of open strings and noncommutativity in branes, Nucl. Phys. B 576 (2000) 578 [hep-th/9906161].
33. F. Ardalan, H. Arfaei and M.M. Sheikh-Jabbari, Mixed branes and m(atrix) theory on noncommutative torus, hep-th/9803067; Noncommutative geometry from strings and branes, J. High Energy Phys. 02 (1999) 016 [hep-th/9810072]; Dirac quantization of open strings and noncommutativity in branes, Nucl. Phys. B 576 (2000) 578 [hep-th/9906161].
34. N. Arkani-Hamed, S. Dimopoulos and G. Dvali, The hierarchy problem and new dimensions at a millimeter, Phys. Lett. B 429 (1998) 263 [hep-ph/9803315]; I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos and G. Dvali, New dimensions at a millimeter to a fermi and superstrings at a TeV, Phys. Lett. B 436 (1998) 257 [hep-ph/9804398]; I. Antoniadis, A possible new dimension at a few TeV, Phys. Lett. B 246 (1990) 377; N. Arkani-Hamed, S. Dimopoulos and J. March-Russell, Stabilization of sub-millimeter dimensions: the new guise of the hierarchy problem, hep-th/9809124; L. Randall and R. Sundrum, A large mass hierarchy from a small extra dimension, Phys. Rev. Lett. 83 (1999) 3370 [hep-ph/9905221].
35. N. Arkani-Hamed, S. Dimopoulos and G. Dvali, The hierarchy problem and new dimensions at a millimeter, Phys. Lett. B 429 (1998) 263 [hep-ph/9803315]; I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos and G. Dvali, New dimensions at a millimeter to a fermi and superstrings at a TeV, Phys. Lett. B 436 (1998) 257 [hep-ph/9804398]; I. Antoniadis, A possible new dimension at a few TeV, Phys. Lett. B 246 (1990) 377; N. Arkani-Hamed, S. Dimopoulos and J. March-Russell, Stabilization of sub-millimeter dimensions: the new guise of the hierarchy problem, hep-th/9809124; L. Randall and R. Sundrum, A large mass hierarchy from a small extra dimension, Phys. Rev. Lett. 83 (1999) 3370 [hep-ph/9905221].
36. N. Arkani-Hamed, S. Dimopoulos and G. Dvali, The hierarchy problem and new dimensions at a millimeter, Phys. Lett. B 429 (1998) 263 [hep-ph/9803315]; I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos and G. Dvali, New dimensions at a millimeter to a fermi and superstrings at a TeV, Phys. Lett. B 436 (1998) 257 [hep-ph/9804398]; I. Antoniadis, A possible new dimension at a few TeV, Phys. Lett. B 246 (1990) 377; N. Arkani-Hamed, S. Dimopoulos and J. March-Russell, Stabilization of sub-millimeter dimensions: the new guise of the hierarchy problem, hep-th/9809124; L. Randall and R. Sundrum, A large mass hierarchy from a small extra dimension, Phys. Rev. Lett. 83 (1999) 3370 [hep-ph/9905221].
37. N. Arkani-Hamed, S. Dimopoulos and G. Dvali, The hierarchy problem and new dimensions at a millimeter, Phys. Lett. B 429 (1998) 263 [hep-ph/9803315]; I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos and G. Dvali, New dimensions at a millimeter to a fermi and superstrings at a TeV, Phys. Lett. B 436 (1998) 257 [hep-ph/9804398]; I. Antoniadis, A possible new dimension at a few TeV, Phys. Lett. B 246 (1990) 377; N. Arkani-Hamed, S. Dimopoulos and J. March-Russell, Stabilization of sub-millimeter dimensions: the new guise of the hierarchy problem, hep-th/9809124; L. Randall and R. Sundrum, A large mass hierarchy from a small extra dimension, Phys. Rev. Lett. 83 (1999) 3370 [hep-ph/9905221].
38. N. Arkani-Hamed, S. Dimopoulos and G. Dvali, The hierarchy problem and new dimensions at a millimeter, Phys. Lett. B 429 (1998) 263 [hep-ph/9803315]; I. Antoniadis, N. Arkani-Hamed, S. Dimopoulos and G. Dvali, New dimensions at a millimeter to a fermi and superstrings at a TeV, Phys. Lett. B 436 (1998) 257 [hep-ph/9804398]; I. Antoniadis, A possible new dimension at a few TeV, Phys. Lett. B 246 (1990) 377; N. Arkani-Hamed, S. Dimopoulos and J. March-Russell, Stabilization of sub-millimeter dimensions: the new guise of the hierarchy problem, hep-th/9809124; L. Randall and R. Sundrum, A large mass hierarchy from a small extra dimension, Phys. Rev. Lett. 83 (1999) 3370 [hep-ph/9905221].
39. N. Arkani-Hamed, S. Dimopoulos, N. Kaloper and R. Sundrum, A small cosmological constant from a large extra dimension, Phys. Lett. B 480 (2000) 193 [hep-th/0001197]; S. Kachru, M. Schulz and E. Silverstein, Self-tuning flat domain walls in 5d gravity and string theory, Phys. Rev. D 62 (2000) 045021 [hep-th/0001206].
40. N. Arkani-Hamed, S. Dimopoulos, N. Kaloper and R. Sundrum, A small cosmological constant from a large extra dimension, Phys. Lett. B 480 (2000) 193 [hep-th/0001197]; S. Kachru, M. Schulz and E. Silverstein, Self-tuning flat domain walls in 5d gravity and string theory, Phys. Rev. D 62 (2000) 045021 [hep-th/0001206].
41. J. Gomis, M. Kleban, T. Mehen, M. Rangamani and S. Shenker, Noncommutative gauge dynamics from the string worldsheet, J. High Energy Phys. 08 (2000) 011 [hep-th/0003215].