FERMION DETERMINANTS

Author:

FRY M. P.1

Affiliation:

1. School of Mathematics, University of Dublin, Dublin 2, Ireland

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

Cited by 8 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. CASIMIR ENERGY AND FORCE INDUCED BY AN IMPENETRABLE FLUX TUBE OF FINITE RADIUS;International Journal of Modern Physics A;2013-12-19

2. Reformulating the Schrödinger equation as a Shabat–Zakharov system;Journal of Mathematical Physics;2010-02

3. Mass zeros of the fermionic determinant in four-dimensional quantum electrodynamics;Physical Review D;2007-03-01

4. Schrödinger Operators with Singular Potentials;Handbook of Differential Equations: Stationary Partial Differential Equations;2005

5. Zero Modes of the Dirac Operator in Vortex-Type Gauge Fields;Theoretical and Mathematical Physics;2004-09

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