Chiral Limit of Strongly Coupled Lattice Gauge Theories

Details Chiral Limit of Strongly Coupled Lattice Gauge Theories Chiral Limit of Strongly Coupled Lattice Gauge Theories

2003-03-05

arxiv.org/abs/hep-lat/0303003v1

Nucl.Phys. B662 (2003) 220-246

Physics

High Energy Physics

High Energy Physics - Lattice

36 Pages, 9 figures, aps revtex format

Scientific paper

10.1016/S0550-3213(03)00350-X

We construct a new and efficient cluster algorithm for updating strongly coupled U(N) lattice gauge theories with staggered fermions in the chiral limit. The algorithm uses the constrained monomer-dimer representation of the theory and should also be of interest to researchers working on other models with similar constraints. Using the new algorithm we address questions related to the chiral limit of strongly coupled U(N) gauge theories beyond the mean field approximation. We show that the infinite volume chiral condensate is non-zero in three and four dimensions. However, on a square lattice of size $L$ we find $\sum_x < \bar\psi\psi(x) \bar\psi\psi(0) > \sim L^{2-\eta}$ for large $L$ where $\eta = 0.420(3)/N + 0.078(4)/N^2$. These results differ from an earlier conclusion obtained using a different algorithm. Here we argue that the earlier calculations were misleading due to uncontrolled autocorrelation times encountered by the previous algorithm.

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