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

Journal Article · Sun Dec 15 00:00:00 EST 2013 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4837115· OSTI ID:22217741

Tomboulis, E. T. ^[1]

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1. Department of Physics and Astronomy, UCLA, Los Angeles, California 90095-1547 (United States)

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.

• OSTI ID: 22217741
• Journal Information: Journal of Mathematical Physics, Vol. 54, Issue 12; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

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