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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2508.16736 |
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| _version_ | 1866914001651236864 |
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| author | Corrêa, Emerson B. S Sarges, Michelli S. R. Helayël-Neto, José A. |
| author_facet | Corrêa, Emerson B. S Sarges, Michelli S. R. Helayël-Neto, José A. |
| contents | We calculate the Bose and Dirac field propagators in a four-dimensional Euclidean space under a magnetic external field by using a hybrid version of the Ritus and Schwinger methods. We get both propagators explicitly in the coordinate and momentum domains without dimensional reduction. Through gauge transformations, we eliminate the translation non-invariant part of the propagators. Also, the Matsubara frequencies of the fields are obtained in a toroidal topology. The approach we consider in this paper has the advantage of taking into account thermal and finite-volume effects with several kinds of boundary conditions, in addition to considering all Landau levels simultaneously, in an analytical and tractable way. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_16736 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Green's functions under magnetic effects in a nontrivial topology Corrêa, Emerson B. S Sarges, Michelli S. R. Helayël-Neto, José A. High Energy Physics - Theory We calculate the Bose and Dirac field propagators in a four-dimensional Euclidean space under a magnetic external field by using a hybrid version of the Ritus and Schwinger methods. We get both propagators explicitly in the coordinate and momentum domains without dimensional reduction. Through gauge transformations, we eliminate the translation non-invariant part of the propagators. Also, the Matsubara frequencies of the fields are obtained in a toroidal topology. The approach we consider in this paper has the advantage of taking into account thermal and finite-volume effects with several kinds of boundary conditions, in addition to considering all Landau levels simultaneously, in an analytical and tractable way. |
| title | Green's functions under magnetic effects in a nontrivial topology |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2508.16736 |