No radiative generation of Chern-Simons-like term in Lorentz-violating QED: dealing with IR divergences
Abstract The issue intensively claimed in the literature on the generation of a CPT-odd and Lorentz violating Chern-Simons-like term by radiative corrections owing to a CPT violating interaction — the axial coupling of fermions with a constant vector field b μ — is mistaken. The presence of massless...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-11-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP11(2017)011 |
| _version_ | 1828156664551833600 |
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| author | O.M. Del Cima D.H.T. Franco O. Piguet |
| author_facet | O.M. Del Cima D.H.T. Franco O. Piguet |
| author_sort | O.M. Del Cima |
| collection | DOAJ |
| description | Abstract The issue intensively claimed in the literature on the generation of a CPT-odd and Lorentz violating Chern-Simons-like term by radiative corrections owing to a CPT violating interaction — the axial coupling of fermions with a constant vector field b μ — is mistaken. The presence of massless gauge field triggers IR divergences that might show up from the UV subtractions, therefore, so as to deal with the (actual physical) IR divergences, the Lowenstein-Zimmermann subtraction scheme, in the framework of BPHZL renormalization method, has to be adopted. The proof on the non generation of such a Chern-Simons-like term is done, independent of any kind of regularization scheme, at all orders in perturbation theory. |
| first_indexed | 2024-04-11T23:16:08Z |
| format | Article |
| id | doaj.art-0b3b34c225cf4e28902320aaa0df8018 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-11T23:16:08Z |
| publishDate | 2017-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-0b3b34c225cf4e28902320aaa0df80182022-12-22T03:57:37ZengSpringerOpenJournal of High Energy Physics1029-84792017-11-0120171111610.1007/JHEP11(2017)011No radiative generation of Chern-Simons-like term in Lorentz-violating QED: dealing with IR divergencesO.M. Del Cima0D.H.T. Franco1O. Piguet2Departamento de Física, Universidade Federal de Viçosa (UFV)Departamento de Física, Universidade Federal de Viçosa (UFV)Departamento de Física, Universidade Federal de Viçosa (UFV)Abstract The issue intensively claimed in the literature on the generation of a CPT-odd and Lorentz violating Chern-Simons-like term by radiative corrections owing to a CPT violating interaction — the axial coupling of fermions with a constant vector field b μ — is mistaken. The presence of massless gauge field triggers IR divergences that might show up from the UV subtractions, therefore, so as to deal with the (actual physical) IR divergences, the Lowenstein-Zimmermann subtraction scheme, in the framework of BPHZL renormalization method, has to be adopted. The proof on the non generation of such a Chern-Simons-like term is done, independent of any kind of regularization scheme, at all orders in perturbation theory.http://link.springer.com/article/10.1007/JHEP11(2017)011Anomalies in Field and String TheoriesBRST QuantizationRenormalization Regularization and RenormalonsSpace-Time Symmetries |
| spellingShingle | O.M. Del Cima D.H.T. Franco O. Piguet No radiative generation of Chern-Simons-like term in Lorentz-violating QED: dealing with IR divergences Journal of High Energy Physics Anomalies in Field and String Theories BRST Quantization Renormalization Regularization and Renormalons Space-Time Symmetries |
| title | No radiative generation of Chern-Simons-like term in Lorentz-violating QED: dealing with IR divergences |
| title_full | No radiative generation of Chern-Simons-like term in Lorentz-violating QED: dealing with IR divergences |
| title_fullStr | No radiative generation of Chern-Simons-like term in Lorentz-violating QED: dealing with IR divergences |
| title_full_unstemmed | No radiative generation of Chern-Simons-like term in Lorentz-violating QED: dealing with IR divergences |
| title_short | No radiative generation of Chern-Simons-like term in Lorentz-violating QED: dealing with IR divergences |
| title_sort | no radiative generation of chern simons like term in lorentz violating qed dealing with ir divergences |
| topic | Anomalies in Field and String Theories BRST Quantization Renormalization Regularization and Renormalons Space-Time Symmetries |
| url | http://link.springer.com/article/10.1007/JHEP11(2017)011 |
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