The bosonic and fermionic propagators under an external electromagnetic field in a Euclidean manifold
Emerson B. S. Corr\^ea, Carlos Andr\'e Bahia, Jos\'e Andr\'e, Louren\c{c}o

TL;DR
This paper calculates bosonic and fermionic propagators in Euclidean space under constant electromagnetic fields, revisiting Ritus' method to improve understanding of quantum field behavior in external fields.
Contribution
It introduces a reassessment of Ritus' method for computing propagators in external electromagnetic fields within Euclidean space.
Findings
Explicit expressions for propagators under magnetic and electric fields
Enhanced understanding of quantum fields in external backgrounds
Potential applications in quantum field theory calculations
Abstract
In this paper, we will calculate the bosonic as well as fermionic propagators under classical homogeneous and constant magnetic and electric fields in a Euclidean space. For this, we will reassess the Ritus' method for calculating the Feynman propagator.
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