Simplified test of universality in lattice QCD.
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-regularized 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 that remains to be settled.
Adams
David H
DH
Instituut-Lorentz for Theoretical Physics, Leiden University, Niels Bohrweg 2, NL-2333 CA Leiden, The Netherlands. adams@lorentz.leidenuniv.nl