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Dimensional regularization vs methods in fixed dimension with and without $\gamma_5$
We study the Lorentz and Dirac algebra, including the antisymmetric ϵ tensor and the γ$_{5}$ matrix, in implicit gauge-invariant regularization/renormalization methods defined in fixed integer dimensions. They include constrained differential, implicit and four-dimensional renormalization. We find t...
| Autores principales: | , , |
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| Lenguaje: | eng |
| Publicado: |
2018
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| Materias: | |
| Acceso en línea: | https://dx.doi.org/10.1007/JHEP08(2018)109 http://cds.cern.ch/record/2312594 |
| _version_ | 1780957975719968768 |
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| author | Bruque, A.M. Cherchiglia, A.L. Pérez-Victoria, M. |
| author_facet | Bruque, A.M. Cherchiglia, A.L. Pérez-Victoria, M. |
| author_sort | Bruque, A.M. |
| collection | CERN |
| description | We study the Lorentz and Dirac algebra, including the antisymmetric ϵ tensor and the γ$_{5}$ matrix, in implicit gauge-invariant regularization/renormalization methods defined in fixed integer dimensions. They include constrained differential, implicit and four-dimensional renormalization. We find that these fixed-dimension methods face the same difficulties as the different versions of dimensional regularization. We propose a consistent procedure in these methods, similar to the consistent version of regularization by dimensional reduction. |
| id | cern-2312594 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 2018 |
| record_format | invenio |
| spelling | cern-23125942023-10-04T06:33:45Zdoi:10.1007/JHEP08(2018)109http://cds.cern.ch/record/2312594engBruque, A.M.Cherchiglia, A.L.Pérez-Victoria, M.Dimensional regularization vs methods in fixed dimension with and without $\gamma_5$hep-thParticle Physics - Theoryhep-phParticle Physics - PhenomenologyWe study the Lorentz and Dirac algebra, including the antisymmetric ϵ tensor and the γ$_{5}$ matrix, in implicit gauge-invariant regularization/renormalization methods defined in fixed integer dimensions. They include constrained differential, implicit and four-dimensional renormalization. We find that these fixed-dimension methods face the same difficulties as the different versions of dimensional regularization. We propose a consistent procedure in these methods, similar to the consistent version of regularization by dimensional reduction.We study the Lorentz and Dirac algebra, including antisymmetric $\epsilon$ tensors and the $\gamma_5$ matrix, in implicit gauge-invariant regularization/renormalization methods defined in fixed integer dimensions. They include constrained differential, implicit and four-dimensional renormalization. We find that these fixed-dimension methods face the same difficulties as the different versions of dimensional regularization. We propose a consistent procedure in these methods, similar to the consistent version of regularization by dimensional reduction.arXiv:1803.09764CERN-TH-2018-058oai:cds.cern.ch:23125942018-03-26 |
| spellingShingle | hep-th Particle Physics - Theory hep-ph Particle Physics - Phenomenology Bruque, A.M. Cherchiglia, A.L. Pérez-Victoria, M. Dimensional regularization vs methods in fixed dimension with and without $\gamma_5$ |
| title | Dimensional regularization vs methods in fixed dimension with and without $\gamma_5$ |
| title_full | Dimensional regularization vs methods in fixed dimension with and without $\gamma_5$ |
| title_fullStr | Dimensional regularization vs methods in fixed dimension with and without $\gamma_5$ |
| title_full_unstemmed | Dimensional regularization vs methods in fixed dimension with and without $\gamma_5$ |
| title_short | Dimensional regularization vs methods in fixed dimension with and without $\gamma_5$ |
| title_sort | dimensional regularization vs methods in fixed dimension with and without $\gamma_5$ |
| topic | hep-th Particle Physics - Theory hep-ph Particle Physics - Phenomenology |
| url | https://dx.doi.org/10.1007/JHEP08(2018)109 http://cds.cern.ch/record/2312594 |
| work_keys_str_mv | AT bruqueam dimensionalregularizationvsmethodsinfixeddimensionwithandwithoutgamma5 AT cherchigliaal dimensionalregularizationvsmethodsinfixeddimensionwithandwithoutgamma5 AT perezvictoriam dimensionalregularizationvsmethodsinfixeddimensionwithandwithoutgamma5 |