Vacuum polarization in thermal QED with an external magnetic field
Jean Alexandre

TL;DR
This paper calculates the one-loop vacuum polarization tensor in thermal QED with a magnetic field using Schwinger proper-time formalism, analyzing how the magnetic field influences screening effects at finite temperature.
Contribution
It provides a detailed finite-temperature analysis of vacuum polarization in the presence of an external magnetic field using Euclidean space techniques.
Findings
Recovery of known results when magnetic field or temperature is zero
Discussion of magnetic field effects on Debye screening
Explicit computation of vacuum polarization tensor in thermal magnetic QED
Abstract
The one-loop vacuum polarization tensor is computed in QED with an external constant, homogeneous magnetic field at finite temperature. The Schwinger proper-time formalism is used and the computations are done in Euclidian space. The well-known results are recovered when the temperature and/or the magnetic field are switched off and the effect of the magnetic field on the Debye screening is discussed.
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