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Bibliographic Details
Main Authors: Corrêa, Emerson B. S, Sarges, Michelli S. R., Helayël-Neto, José A.
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2508.16736
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Table of 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.