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Title: Chiral symmetry restoration at large chemical potential in strongly coupled SU(N) gauge theories

We show that at sufficiently large chemical potential SU(N) lattice gauge theories in the strong coupling limit with staggered fermions are in a chirally symmetric phase. The proof employs a polymer cluster expansion which exploits the anisotropy between timelike and spacelike directions in the presence of a quark chemical potential μ. The expansion is shown to converge in the infinite volume limit at any temperature for sufficiently large μ. All expectations of chirally non-invariant local fermion operators vanish identically, or, equivalently, their correlations cluster exponentially, within the expansion. The expansion itself may serve as a computational tool at large μ and strong coupling.
Authors:
 [1]
  1. Department of Physics and Astronomy, UCLA, Los Angeles, California 90095-1547 (United States)
Publication Date:
OSTI Identifier:
22217741
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 54; Journal Issue: 12; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ANISOTROPY; CHIRAL SYMMETRY; CHIRALITY; CLUSTER EXPANSION; CORRELATIONS; GAUGE INVARIANCE; POTENTIALS; QUANTUM FIELD THEORY; QUARKS; SPACE-TIME; STRONG-COUPLING MODEL; SU GROUPS