TL;DR
This paper investigates the behavior of the one-loop effective fermion action in 4D QED under strong, random magnetic fields, revealing a universal super-quadratic growth influenced by fermionic and bosonic magnetic properties.
Contribution
It demonstrates that the effective fermion action in QED grows faster than quadratically with magnetic field strength in the strong coupling limit, establishing universality.
Findings
Effective fermion action increases faster than quadratic in B
Growth rate is universal across a class of magnetic fields
Results depend on fermionic paramagnetism and bosonic diamagnetism
Abstract
It is shown for a class of random, time-independent, square-integrable, three-dimensional magnetic fields that the one-loop effective fermion action of four-dimensional QED increases faster than a quadratic in B in the strong coupling limit. The limit is universal. The result relies on the paramagnetism of charged spin - 1/2 fermions and the diamagnetism of charged scalar bosons.
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