Fermion Determinants 2003

TL;DR

This paper reviews methods for checking lattice QCD fermion determinants against known QED results, discusses recent work on 2D massive QED determinants, and explores approaches for 4D QED determinants with symmetric backgrounds.

Contribution

It highlights the importance of continuum limit checks for lattice fermion determinants and discusses new approaches for calculating 4D QED determinants with symmetric fields.

Findings

Reviewed recent work on 2D massive QED determinants

Suggested a feasible approach for 4D QED determinants with symmetric backgrounds

Emphasized the need for continuum limit validation of lattice QCD results

Abstract

It is recommended that lattice QCD representations of the fermion determinant, including the discretization of the Dirac operator, be checked in the continuum limit against known QED determinant results. Recent work on the massive QED fermion determinant in two dimensions is reviewed. A feasible approach to the four-dimensional QED determinant with O(2) x O(3) symmetric background fields is briefly discussed.