Universal Scaling of the Chiral Condensate in Finite-Volume Gauge Theories

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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Expanded discussion of overlap fermion results. 17 pages revtex, 7 postscript figures

Scientific paper

10.1103/PhysRevD.61.094503

We confront exact analytical predictions for the finite-volume scaling of the chiral condensate with data from quenched lattice gauge theory simulations. Using staggered fermions in both the fundamental and adjoint representations, and gauge groups SU(2) and SU(3), we are able to test simultaneously all of the three chiral universality classes. With overlap fermions we also test the predictions for gauge field sectors of non-zero topological charge. Excellent agreement is found in most cases, and the deviations are understood in the others.

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