A simplified test of universality in Lattice QCD
Abstract
A simplified test of universality in Lattice QCD is performed by analytically evaluating the continuous Euclidean time limits of various lattice fermion determinants, both with and without a Wilson term to lift the fermion doubling on the Euclidean time axis, and comparing them with each other and with the zeta-regularised fermion determinant in the continuous time--lattice space setting. The determinant relations expected from universality considerations are found to be violated by a certain gauge field-dependent factor, i.e. we uncover a "universality anomaly". The physical significance, or lack thereof, of this factor is a delicate question which remains to be settled.
Cite
@article{arxiv.hep-lat/0312025,
title = {A simplified test of universality in Lattice QCD},
author = {David H. Adams},
journal= {arXiv preprint arXiv:hep-lat/0312025},
year = {2009}
}
Comments
6 pages. v2: Revised to include a further result on the zeta-regularised fermion determinant in the continuous time--lattice space setting which impacts on the conclusions; typos corrected; acknowledgement and reference added; to appear in Phys.Rev.Lett