TL;DR
This paper reviews the bounds and limits of fermion determinants across dimensions in QED and QCD, introduces a new lower bound in 2D QED, and discusses the determinant's continuity at zero mass under specific conditions.
Contribution
It presents a new lower bound for the two-dimensional QED fermion determinant and outlines its continuity at zero mass when magnetic flux is zero.
Findings
Derived a new lower bound for 2D QED fermion determinant.
Outlined the proof of continuity of the determinant at zero mass.
Reviewed existing bounds and limits in various dimensions.
Abstract
The current status of bounds on and limits of fermion determinants in two, three and four dimensions in QED and QCD is reviewed. A new lower bound on the two-dimensional QED determinant is derived. An outline of the demonstration of the continuity of this determinant at zero mass when the background magnetic field flux is zero is also given.
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