Physical (ir)relevance of ambiguities to Lorentz and CPT violation in QED

Journal of High Energy Physics

Volumn 5, Issue 4, 2001, Pages

  Pérez Victoria, Manuel ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Discrete and finite symmetries; Space time symmetries

Indexed keywords

EID: 33744777844     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: 10.1088/1126-6708/2001/04/032     Document Type: Article

References (45)

1. D. Colladay and V.A. Kostelecky, Lorentz-violating extension of the standard model, Phys. Rev. D 58 (1998) 116002 [hep-ph/9809521].
2. D. Colladay and V.A. Kostelecky, CPT violation and the standard model, Phys. Rev. D 55 (1997) 6760 [hep-ph/9703464].
3. A. Kostelecký, Lorentz- and CPT-violating extension of the standard model, hep-ph/9912528.
4. D. Colladay, Possible spontaneous breaking of Lorentz and CPT symmetry, Phys. Atom. Nud. 63 (2000) 1097 [hep-ph/9907565].
5. D. Colladay, Extending the standard model to include CPT- and Lorentz-breaking terms, hep-ph/9901269.
6. S. Coleman and S.L. Glashow, Cosmic ray and neutrino tests of special relativity, Phys. Lett. B 405 (1997) 249 [hep-ph/9703240].
7. S. Coleman and S.L. Glashow, High-energy tests of Lorentz invariance, Phys. Rev. D 59 (1999) 116008 [hep-ph/9812418].
8. R. Jackiw and S. Templeton, How superrenormalizable interactions cure their infrared divergences, Phys. Rev. D 23 (1981) 2291.
9. A.A. Andrianov and R. Soldati, Lorentz symmetry breaking in abelian vector field models with Wess-Zumino interaction, Phys. Rev. D 51 (1995) 5961 [hep-th/9405147].
10. A.A. Andrianov and R. Soldati, Patterns of Lorentz symmetry breaking in QED by CPT-odd interaction, Phys. Lett. B 435 (1998) 449 [hep-ph/9804448].
11. A.A. Andrianov, R. Soldati and L. Sorbo, Dynamical Lorentz symmetry breaking from 3 + 1 axion- Wess-Zumino model, Phys. Rev. D 59 (1999) 025002 [hep-th/9806220].
12. R. Jackiw, Chern-Simons violation of Lorentz and PCT symmetries in electrodynamics, Comments on Modern Physics Al (1999) 1 [hep-ph/9811322].
13. C. Adam and F.R. Klinkhamer, Causality and CPT violation from an abelian ChernSimons like term, hep-ph/0101087.
14. S.M. Carroll, G.B. Field and R. Jackiw, Limits on a Lorentz and parity violating modification of electrodynamics, Phys. Rev. D 41 (1990) 1231.
15. J.M. Chung and P. Oh, Lorentz and PCT violating Chern-Simons term in the derivative expansion of QED, Phys. Rev. D 60 (1999) 067702 [hep-th/9812132].
16. R. Jackiw and V.A. Kostelecký, Radiatively induced Lorentz and CPT violation in electrodynamics, Phys. Rev. Lett. 82 (1999) 3572 [hep-ph/9901358].
17. W.F. Chen, Understanding radiatively induced Lorentz-CPT violation in differential regularization, Phys. Rev. D 60 (1999) 085007 [hep-th/9903258].
18. J.M. Chung, Lorentz and CPT violating Chern-Simons term in the formulation of functional integral, Phys. Rev. D 60 (1999) 127901 [hep-th/9904037].
19. G.E. Volovik, Comment on 'Radiatively induced Lorentz and CPT violation in electrodynamics', hep-th/9905008.
20. M. Ferez-Victoria, Exact calculation of the radiatively-induced Lorentz and CPT violation in QED, Phys. Rev. Lett. 83 (1999) 2518 [hep-th/990506l].
21. J.M. Chung, Radiatively-induced Lorentz and CPT violating Chern-Simons term in QED, Phys. Lett. B 461 (1999) 138 [hep-th/9905095].
22. L.-H. Chan, Induced Lorentz-violating Chern-Simons term in QED and anomalous contributions to effective action expansions, hep-ph/9907349.
23. W.F. Chen and G. Kunstatter, Constraint from lamb shift and anomalous magnetic moment on radiatively induced Lorentz and CPT violation in quantum electrodynamics, Phys. Rev. D 62 (2000) 105029 [hep-ph/0002294].
24. M. Chaichian, W.F. Chen and R.G. Felipe, Radiatively induced Lorentz and CPT violation in Schwinger constant field approximation, Phys. Lett. B 503 (2001) 215 [hep-th/0010129].
25. J.R.S. Nascimento, R.F. Ribeiro and N.F. Svaiter, Radiatively induced Lorentz and CPT violation in QED at finite temperature, hep-th/0012039.
26. G. Bonneau, Regularization: many recipes, but a unique principle: ward identities and normalization conditions. The case of CPT violation in QED, Nucl. Phys. B 593 (2001) 398 [hep-th/0008210].
27. A.P.B. Scarpelli, M. Sampaio and M.C. Nenies, Consistency relations for an implicit N-dimensional regularization scheme, Phys. Rev. D 63 (2001) 046004 [hep-th/0010285].
28. O.A. Battistel and G. Dallabona, Role of ambiguities and gauge invariance in the calculation of the radiatively induced Chern-Simons shift in extended QED, hep-th/0012181.
29. J.M. Chung and B.K. Chung, Induced Lorentz- and CPT-violating Chern-Simons term in QED: Fock-Schwing er proper time method, Phys. Rev. D 63 (2001) 105015 [hep-th/0101097].
30. A.P.B. Scarpelli, M. Sampaio, B. Hiller and M.C. Nemes, Chiral anomaly in a 75 friendly momentum space regularization framework, hep-th/0102108.
31. 0 → γγ in the sigma model, Nuovo Cim. A60 (1969) 47.
32. S.L. Adler, Axial vector vertex in spinor electrodynamics, Phys. Rev. 177 (1969) 2426.
33. D.Z. Freedman, K. Johnson and J.I. Latorre, Differential regularization and renormalization: a new method of calculation in quantum field theory, Nucl. Phys. B 371 (1992) 353.
34. F. del Aguila, A. Culatti, R. Munoz-Tapia and M. Pérez-Victoria, Constraining differential renormalization in abelian gauge theories, Phys. Lett. B 419 (1998) 263 [hep-th/9709067].
35. F. del Aguila, A. Culatti, R.M. Tapia and M. Pérez-Victoria, Techniques for one-loop calculations in constrained differential renormalization, Nucl. Phys. B 537 (1999) 561 [hep-ph/9806451].
36. F. del Aguila and M. Pérez-Victoria, Differential re-normalization of gauge theories, Acta Phys. Polon. B29 (1998) 2857 [hep-ph/9808315].
37. R. Jackiw, When radiative corrections are finite but undetermined, Int. J. Mod. Phys. B 14 (2000) 2011 [hep-th/9903044].
38. A. Kostelecky and R. Lehnert, Stability, causality and Lorentz and CPT violation, hep-th/0012060.
39. Y. Frishman, A. Schwimmer, T. Banks and S. Yankielowicz, The axial anomaly and the bound state spectrum in confining theories, Nucl. Phys. B 177 (1981) 157.
40. T. Appelquist and J. Carazzone, Infrared singularities and massive fields, Phys. Rev. D 11 (1975) 2856.
41. J. Wudka, Electroweak effective lagrangians, Int. J. Mod. Phys. A 9 (1994) 2301 [hep-ph/9406205].
42. R.D. Peccei and H.R. Quinn, CP conservation in the presence of instantons, Phys. Rev. Lett. 38 (1977) 1440.
43. S. Weinberg, A new light boson?, Phys. Rev. Lett. 40 (1978) 223.
44. F. Wilczek, Problem of strong P and T invariance in the presence of instantons, Phys. Rev. Lett. 40 (1978) 279.
45. F.R. Klinkhamer, A CPT anomaly, Nucl. Phys. B 578 (2000) 277 [hep-th/9912169].