Topological charge and the spectrum of the fermion matrix in lattice QED(2)

被引：26

作者：

Gattringer, CR ^{[1
]}

Hip, I ^{[1
]}

Lang, CB ^{[1
]}

机构：

[1] GRAZ UNIV, INST THEORET PHYS, A-8010 GRAZ, AUSTRIA

来源：

NUCLEAR PHYSICS B | 1997年 / 508卷 / 1-2期

关键词：

lattice field theory; topological charge; spectral decomposition; dynamical fermions; Schwinger model;

D O I：

10.1016/S0550-3213(97)00620-2

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We investigate the interplay between topological charge and the spectrum of the fermion matrix in lattice QED(2) using analytic methods and Monte Carlo simulations with dynamical fermions. A new theorem on the spectral decomposition of the fermion matrix establishes that its real eigenvalues (and corresponding eigenvectors) play a role similar to the zero eigenvalues (zero-modes) of the Dirac operator in continuous background fields, Using numerical techniques we concentrate on studying the real part of the spectrum. These results provide new insights into the behavior of physical quantities as a function of the topological charge, In particular we discuss the fermion determinant, the effective action and pseudoscalar densities. (C) 1997 Elsevier Science B.V.

引用

页码：329 / 352

页数：24