Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2003-12-16
Phys.Rev.Lett. 92 (2004) 162002
Physics
High Energy Physics
High Energy Physics - Lattice
6 pages. v2: Revised to include a further result on the zeta-regularised fermion determinant in the continuous time--lattice s
Scientific paper
10.1103/PhysRevLett.92.162002
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.
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