Simplified test of universality in lattice QCD

• Main Author: Adams, David H.
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2013
• Subjects: Physical and Mathematical Sciences
• Online Access: https://hdl.handle.net/10356/101017; http://hdl.handle.net/10220/18273
• Institution: Nanyang Technological University

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.