Chiral Limit of Strongly Coupled Lattice Gauge Theories

Abstract

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.

arXiv comment36 Pages, 9 figures, aps revtex format

References in corpus (9)

• Quantum Monte Carlo with Directed Loops
• Cluster Algorithm for Vertex Models
• Scaling Study of the Two-Flavor Chiral Phase Transition with the Kogut-Susskind Quark Action in Lattice QCD
• Critical Behavior in Nt = 4 Staggered Fermion Thermodynamics
• Green's Functions from Quantum Cluster Algorithms
• Hamiltonian domain wall fermions at strong coupling
• Three and Two Colours Finite Density QCD at Strong Coupling: A New Look
• Overlap-Dirac fermions with a small hopping parameter
• Unexpected Results in the Chiral Limit with Staggered Fermions

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