The Schwinger and chiral Schwinger models in a non-perturbative spectral regularization
We investigate the employment of a non-perturbative regularization scheme – the spectral regularization, which is based on the gauge technique, previously implemented in the context of chiral quark models – in the study of the gauge symmetry preservation within the Schwinger model and violation in t...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2024-03-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S055032132400035X |
| _version_ | 1827325571562995712 |
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| author | L.F. Eleotério G.O. Almeida E.W. Dias H. Caldas A.L. Mota |
| author_facet | L.F. Eleotério G.O. Almeida E.W. Dias H. Caldas A.L. Mota |
| author_sort | L.F. Eleotério |
| collection | DOAJ |
| description | We investigate the employment of a non-perturbative regularization scheme – the spectral regularization, which is based on the gauge technique, previously implemented in the context of chiral quark models – in the study of the gauge symmetry preservation within the Schwinger model and violation in the chiral Schwinger model. We show that the spectral regularization provides mathematical consistent and ambiguity free solutions for the two-point functions of both Schwinger and chiral Schwinger models in exact (1+1) dimensions, correctly displaying the gauge invariance in the Schwinger model and the axial anomaly in the chiral Schwinger model. The employment of the spectral regularization avoids any dependence on ambiguous amplitudes and/or unconventional γ5 algebra. Our results reinforce the strength of the spectral regularization as a mathematical consistent, divergence free, and ambiguity free regularization scheme that correctly implements symmetry conservation or violation in each case. |
| first_indexed | 2024-03-07T14:30:12Z |
| format | Article |
| id | doaj.art-8ac2ad5b13b342a88570cd1d4b5baeb4 |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-03-07T14:30:12Z |
| publishDate | 2024-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-8ac2ad5b13b342a88570cd1d4b5baeb42024-03-06T05:25:28ZengElsevierNuclear Physics B0550-32132024-03-011000116469The Schwinger and chiral Schwinger models in a non-perturbative spectral regularizationL.F. Eleotério0G.O. Almeida1E.W. Dias2H. Caldas3A.L. Mota4Departamento de Ciências Naturais, Universidade Federal de São João del Rei, C.P. 110, CEP 36301-160, São João del Rei, BrazilDepartamento de Ciências Naturais, Universidade Federal de São João del Rei, C.P. 110, CEP 36301-160, São João del Rei, BrazilDepartamento de Ciências Naturais, Universidade Federal de São João del Rei, C.P. 110, CEP 36301-160, São João del Rei, BrazilDepartamento de Ciências Naturais, Universidade Federal de São João del Rei, C.P. 110, CEP 36301-160, São João del Rei, BrazilCorresponding author.; Departamento de Ciências Naturais, Universidade Federal de São João del Rei, C.P. 110, CEP 36301-160, São João del Rei, BrazilWe investigate the employment of a non-perturbative regularization scheme – the spectral regularization, which is based on the gauge technique, previously implemented in the context of chiral quark models – in the study of the gauge symmetry preservation within the Schwinger model and violation in the chiral Schwinger model. We show that the spectral regularization provides mathematical consistent and ambiguity free solutions for the two-point functions of both Schwinger and chiral Schwinger models in exact (1+1) dimensions, correctly displaying the gauge invariance in the Schwinger model and the axial anomaly in the chiral Schwinger model. The employment of the spectral regularization avoids any dependence on ambiguous amplitudes and/or unconventional γ5 algebra. Our results reinforce the strength of the spectral regularization as a mathematical consistent, divergence free, and ambiguity free regularization scheme that correctly implements symmetry conservation or violation in each case.http://www.sciencedirect.com/science/article/pii/S055032132400035X |
| spellingShingle | L.F. Eleotério G.O. Almeida E.W. Dias H. Caldas A.L. Mota The Schwinger and chiral Schwinger models in a non-perturbative spectral regularization Nuclear Physics B |
| title | The Schwinger and chiral Schwinger models in a non-perturbative spectral regularization |
| title_full | The Schwinger and chiral Schwinger models in a non-perturbative spectral regularization |
| title_fullStr | The Schwinger and chiral Schwinger models in a non-perturbative spectral regularization |
| title_full_unstemmed | The Schwinger and chiral Schwinger models in a non-perturbative spectral regularization |
| title_short | The Schwinger and chiral Schwinger models in a non-perturbative spectral regularization |
| title_sort | schwinger and chiral schwinger models in a non perturbative spectral regularization |
| url | http://www.sciencedirect.com/science/article/pii/S055032132400035X |
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