One loop renormalization of spontaneously broken u(2) gauge theory on noncommutative spacetime

Journal of High Energy Physics

Volumn 5, Issue 11, 2001, Pages 1-38

  Liao, Yi ^a  

^a UNIVERSITY OF LEIPZIG   (Germany)

Author keywords

Beyond Standard Model; Gauge Symmetry; Renormalization Regularization and Renormalons; Spontaneous Symmetry Breaking

Indexed keywords

EID: 33744754419     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: 10.1088/1126-6708/2001/11/067     Document Type: Article

References (60)

1. 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];
2. M.R. Douglas and C.M. Hull, D-branes and the noncommutative torus, J. High Energy Phys. 02 (1998) 008 [hep-th/9711165];
3. N. Seiberg and E. Witten, String theory and noncommutative geometry, J. High Energy Phys. 09 (1999) 032 [hep-th/9908142].
4. J. Gomis and T. Mehen, Space-time noncommutative field theories and unitarity, Nucl. Phys. B 591 (2000) 265 [hep-th/0005129];
5. N. Seiberg, L. Susskind and N. Toumbas, Space/time non-commutativity and causality, J. High Energy Phys. 06 (2000) 044.
6. S. Minwalla, M. V. Raamsdonk and N. Seiberg, Noncommutative perturbative dynamics, J. High Energy Phys. 02 (2000) 020 [hep-th/9912072]
7. M. V. Raamsdonk and N. Seiberg, Comments on noncommutative perturbative dynamics, J. High Energy Phys. 03 (2000) 035 [hep-th/0002186];
8. A. Matusis, L. Susskind and N. Toumbas, The IR/UV connection in the noncommutative gauge theories, J. High Energy Phys. 12 (2000) 002 [hep-th/0002075];
9. I.Y. Arefeva, D.M. Belov, A.S. Koshelev and O.A. Rychkov, Renormalizability and UV/IR mixing in noncommutative theories with scalar fields, Phys. Lett. B 487 (2000) 357.
10. I. Mocioiu, M. Pospelov and R. Roiban, Low-energy limits on the antisymmetric tensor field background on the brane and on the non-commutative scale, Phys. Lett. B 489 (2000) 390 [hep-ph/0005191];
11. M. Chaichian, M.M. Sheikh-Jabbari and A. Tureanu, Hydrogen atom spectrum and the Lamb shift in noncommutative QED, Phys. Rev. Lett. 86 (2001) 2716 [hep-th/0010175];
12. H. Arfaei and M.H. Yavartanoo, Phenomenological consequences of noncommutative QED, hep-th/0010244;
13. J.L. Hewett, F.J. Petriello and T.G. Rizzo, Signals for non-commutative interactions at linear colliders, Phys. Rev. D 64 (2001) 075012 [hep-ph/0010354];
14. P. Mathews, Compton scattering in noncommutative space-time at the NLC, Phys. Rev. D 63 (2001) 075007 [hep-ph/0011332];
15. S.W. Baek, D.K. Ghosh, X.G. He and W.Y.P. Hwang, Signatures of non-commutative QED at photon colliders, Phys. Rev. D 64 (2001) 056001 [hep-ph/0103068];
16. H. Grosse and Y. Liao, Anomalous c-violating three photon decay of the neutral pion in noncommutative quantum electrodynamics, Phys. Lett. B 520 (2001) 63 [hep-ph/0104260];
17. Pair production of neutral Higgs bosons through noncommutative QED interactions at linear colliders, Phys. Rev. D 64 (2001) 115007 [hep-ph/0105090];
18. S.M. Carroll, J.A. Harvey, V.A. Kostelecky, C.D. Lane and T. Okamoto, Noncommutative field theory and Lorentz violation, Phys. Rev. Lett. 87 (2001) 141601 [hep-th/0105082];
19. Z. Guralnik, R. Jackiw, S.Y. Pi and A.P. Polychronakos, Testing non-commutative QED, constructing non-commutative MHD, Phys. Lett. B 517 (2001) 450 [hep-th/0106044];
20. R.G. Cai, Superluminal noncommutative photons, Phys. Lett. B 517 (2001) 457 [hep-th/0106047];
21. A. Anisimov, T. Banks, M. Dine and M. Graesser, Comments on non-commutative phenomenology, hep-ph/0106356;
22. C.E. Carlson, C.D. Carone and R.F. Lebed, Bounding noncommutative QCD, Phys. Lett. B 518 (2001) 201 [hep-ph/0107291];
23. S. Godfrey and M.A. Doncheski, Signals for non-commutative QED in eγ and γγ collisions, Phys. Rev. D 65 (2002) 015005 [hep-ph/0108268];
24. M. Haghighat, S.M. Zebarjad and F. Loran, Positronium hyperfine splitting in non-
25. 6, hep-ph/0109105;
26. G. Amelino-Camelia, L. Doplicher, S.K. Nam and Y.S. Seo, Phenomenology of particle production and propagation in string-motivated canonical noncommutative spacetime, hep-th/0109191.
27. S. Terashima, A note on superfields and noncommutative geometry, Phys. Lett. B 482 (2000) 276 [hep-th/0002119];
28. K. Matsubara, Restrictions on gauge groups in noncommutative gauge theory, Phys. Lett. B 482 (2000) 417 [hep-th/0003294].
29. M. Chaichian, P. Presnajder, M.M. Sheikh-Jabbari and A. Tureanu, Noncommutative gauge field theories: a no-go theorem, hep-th/0107037;
30. Noncommutative standard model: model building, hep-th/0107055.
31. E. Langmann, Descent equations of Yang-Mills anomalies in noncommutative geometry, J. Geom. Phys. 22 (1997) 259–279 [hep-th/9508003];
32. L. Bonora, M. Schnabl and A. Tomasiello, A note on consistent anomalies in noncommutative YM theories, Phys. Lett. B 485 (2000) 311 [hep-th/0002210];
33. 4, Int. J. Mod. Phys. A 16 (2001) 3151 [hep-th/0002143];
34. Anomaly and nonplanar diagrams in noncommutative gauge theories, hep-th/0009233;
35. 4, Phys. Lett. B 479 (2000) 321 [hep-th/0002171];
36. C.P. Martin, The UV and IR origin of non-abelian chiral gauge anomalies on noncommutative Minkowski space-time, J. Phys. A34 (2001) 9037 [hep-th/0008126];
37. 2n, hep-th/0110046;
38. L. Bonora and A. Sorin, Chiral anomalies in noncommutative YM theories, Phys. Lett. B 521 (2001) 421 [hep-th/0109204].
39. For an interesting mechanism for supersymmetry breaking in the context of noncommutative gauge theories, see: C.S. Chu, V.V. Khoze and G. Travaglini, Dynamical breaking of supersymmetry in noncommutative gauge theories, Phys. Lett. B 513 (2001) 200 [hep-th/0105187].
40. 4, Phys. Rev. Lett. 83 (1999) 476 [hep-th/9903077];
41. T. Krajewski and R. Wulkenhaar, Perturbative quantum gauge fields on the noncommutative torus, Int. J. Mod. Phys. A 15 (2000) 1011 [hep-th/9903187];
42. 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];
43. 4, Phys. Lett. B 478 (2000) 394 [hep-th/9912094];
44. 4, hep-th/9912167;
45. A. Matusis, L. Susskind and N. Toumbas, The IR/UV connection in the noncommutative gauge theories, J. High Energy Phys. 12 (2000) 002 [hep-th/0002075].
46. A. Armoni, Comments on perturbative dynamics of non-commutative Yang-Mills theory, Nucl. Phys. B 593 (2001) 229 [hep-th/0005208];
47. L. Bonora and M. Salizzoni, Renormalization of noncommutative U(N) gauge theories, Phys. Lett. B 504 (2001) 80 [hep-th/0011088];
48. C.P. Martin and D. Sanchez-Ruiz, The BRS invariance of noncommutative U(N) Yang-Mills theory at the one-loop level, Nucl. Phys. B 598 (2001) 348 [hep-th/0012024].
49. 4 theory, Phys. Lett. B 476 (2000) 431 [hep-th/9912075];
50. 4 theory at two loops, J. High Energy Phys. 01 (2001) 025.
51. B.A. Campbell and K. Kaminsky, Noncommutative field theory and spontaneous symmetry breaking, Nucl. Phys. B 581 (2000) 240 [hep-th/0003137];
52. Noncommutative linear sigma models, Nucl. Phys. B 606 (2001) 613 [hep-th/0102022].
53. F.J. Petriello, The Higgs mechanism in non-commutative gauge theories, Nucl. Phys. B 601 (2001) 169 [hep-th/0101109].
54. J. Madore, S. Schraml, P. Schupp and J. Wess, Gauge theory on noncommutative spaces, Eur. Phys. J. C 16 (2000) 161 [hep-th/0001203];
55. B. Jurčo, S. Schraml, P. Schupp and J. Wess, Enveloping algebra valued gauge transformations for non-abelian gauge groups on non-commutative spaces, Eur. Phys. J. C 17 (2000) 521 [hep-th/0006246];
56. B. Jurčo, L. Möller, S. Schraml, P. Schupp and J. Wess, Construction of non-abelian gauge theories on noncommutative spaces, Eur. Phys. J. C 21 (2001) 383 [hep-th/0104153];
57. D. Brace, B. L. Cerchiai, A. F. Pasqua, U. Varadarajan and B. Zumino, A cohomolog-ical approach to the non-abelian Seiberg-Witten map, J. High Energy Phys. 06 (2001) 047.
58. A.A. Bichl, J.M. Grimstrup, L. Popp, M. Schweda and R. Wulkenhaar, Deformed QED via Seiberg-Witten map, hep-th/0102103;
59. Perturbative analysis of the Seiberg-Witten map, hep-th/0102044;
60. A.A. Bichl, J. Grimstrup, H. Grosse, L. Popp, M. Schweda and R. Wulkenhaar, Renormalization of the noncommutative photon self-energy to all orders via Seiberg-Witten map J. High Energy Phys. 06 (2001) 013 [hep-th/0104097].