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Strong magnetic field asymptotic behaviour for the fermion-induced effective energy in the presence of a magnetic flux tube

Pavlos Pasipoularides
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Abstract

In Ref. 3, we presented an asymptotic formula for the fermion-induced effective energy in 3+1 dimensions in the presence of a cylindrically symmetric inhomogeneous strong magnetic field. However, there are some points which were not clearly explained. In fact, the arguments, which led us to the asymptotic formula, are based on a numerical study of the integral of Eq. (10), as we will see in the main part of this paper. The aim of this work is to present this study in detail.

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Pavlos Pasipoularides. 2003-04-01. Strong magnetic field asymptotic behaviour for the fermion-induced effective energy in the presence of a magnetic flux tube. https://doi.org/10.1103/physrevd.67.107301

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