Axial gravity, massless fermions and trace anomalies
Abstract This article deals with two main topics. One is odd parity trace anomalies in Weyl fermion theories in a 4d curved background, the second is the introduction of axial gravity. The motivation for reconsidering the former is to clarify the theoretical background underlying the approach and co...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-08-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-017-5071-7 |
| _version_ | 1811287882952867840 |
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| author | L. Bonora M. Cvitan P. Dominis Prester A. Duarte Pereira S. Giaccari T. Štemberga |
| author_facet | L. Bonora M. Cvitan P. Dominis Prester A. Duarte Pereira S. Giaccari T. Štemberga |
| author_sort | L. Bonora |
| collection | DOAJ |
| description | Abstract This article deals with two main topics. One is odd parity trace anomalies in Weyl fermion theories in a 4d curved background, the second is the introduction of axial gravity. The motivation for reconsidering the former is to clarify the theoretical background underlying the approach and complete the calculation of the anomaly. The reference is in particular to the difference between Weyl and massless Majorana fermions and to the possible contributions from tadpole and seagull terms in the Feynman diagram approach. A first, basic, result of this paper is that a more thorough treatment, taking account of such additional terms and using dimensional regularization, confirms the earlier result. The introduction of an axial symmetric tensor besides the usual gravitational metric is instrumental to a different derivation of the same result using Dirac fermions, which are coupled not only to the usual metric but also to the additional axial tensor. The action of Majorana and Weyl fermions can be obtained in two different limits of such a general configuration. The results obtained in this way confirm the previously obtained ones. |
| first_indexed | 2024-04-13T03:26:16Z |
| format | Article |
| id | doaj.art-6f8a856e9dee4c04b15e6f3d4ffbc5ef |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-04-13T03:26:16Z |
| publishDate | 2017-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-6f8a856e9dee4c04b15e6f3d4ffbc5ef2022-12-22T03:04:38ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522017-08-0177813210.1140/epjc/s10052-017-5071-7Axial gravity, massless fermions and trace anomaliesL. Bonora0M. Cvitan1P. Dominis Prester2A. Duarte Pereira3S. Giaccari4T. Štemberga5International School for Advanced Studies (SISSA)Department of Physics, Faculty of Science, University of ZagrebDepartment of Physics, University of RijekaDepartamento de Física Teórica, UERJ-Universidade Estadual do Rio de JaneiroDepartment of Physics, Faculty of Science, University of ZagrebDepartment of Physics, Faculty of Science, University of ZagrebAbstract This article deals with two main topics. One is odd parity trace anomalies in Weyl fermion theories in a 4d curved background, the second is the introduction of axial gravity. The motivation for reconsidering the former is to clarify the theoretical background underlying the approach and complete the calculation of the anomaly. The reference is in particular to the difference between Weyl and massless Majorana fermions and to the possible contributions from tadpole and seagull terms in the Feynman diagram approach. A first, basic, result of this paper is that a more thorough treatment, taking account of such additional terms and using dimensional regularization, confirms the earlier result. The introduction of an axial symmetric tensor besides the usual gravitational metric is instrumental to a different derivation of the same result using Dirac fermions, which are coupled not only to the usual metric but also to the additional axial tensor. The action of Majorana and Weyl fermions can be obtained in two different limits of such a general configuration. The results obtained in this way confirm the previously obtained ones.http://link.springer.com/article/10.1140/epjc/s10052-017-5071-7 |
| spellingShingle | L. Bonora M. Cvitan P. Dominis Prester A. Duarte Pereira S. Giaccari T. Štemberga Axial gravity, massless fermions and trace anomalies European Physical Journal C: Particles and Fields |
| title | Axial gravity, massless fermions and trace anomalies |
| title_full | Axial gravity, massless fermions and trace anomalies |
| title_fullStr | Axial gravity, massless fermions and trace anomalies |
| title_full_unstemmed | Axial gravity, massless fermions and trace anomalies |
| title_short | Axial gravity, massless fermions and trace anomalies |
| title_sort | axial gravity massless fermions and trace anomalies |
| url | http://link.springer.com/article/10.1140/epjc/s10052-017-5071-7 |
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