Toward an effective chiral model of high-temperature QCD

In an effort to expose the mechanism for chiral-symmetry restoration in high-temperature QCD, we use numerical simulations of lattice QCD with staggered fermions to obtain information about possible effective chiral models. We propose the strategy of comparing expressions built from expectation valu...

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Bibliographic Details
Published in:Physical review. D, Particles and fields Particles and fields, 1992-06, Vol.45 (12), p.4681-4694
Main Authors: DE TAR, C, SHAO-JING DONG
Format: Article
Language:English
Subjects:
662120 - General Theory of Particles & Fields- Symmetry, Conservation Laws, Currents & Their Properties- (1992-)
662230 - Quantum Chromodynamics- (1992-)
BOSONS
CHIRAL SYMMETRY
Classical and quantum physics: mechanics and fields
ELEMENTARY PARTICLES
Exact sciences and technology
FIELD THEORIES
HADRONS
LATTICE FIELD THEORY
MESONS
ORDER PARAMETERS
PHASE TRANSFORMATIONS
Physics
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
SCALAR MESONS
SYMMETRY
TEMPERATURE DEPENDENCE
Theory of quantized fields
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Summary:In an effort to expose the mechanism for chiral-symmetry restoration in high-temperature QCD, we use numerical simulations of lattice QCD with staggered fermions to obtain information about possible effective chiral models. We propose the strategy of comparing expressions built from expectation values of low-order polynomials of macroscopic'' meson fields, such as a Mexican-hat statistic'' {l angle}{pi}{sup 2}{sigma}{r angle}/{l angle}{pi}{sup 2}{r angle}{l angle}{sigma}{r angle}{minus}1, computed locally in terms of the quark fields in lattice QCD and in terms of the meson fields in the effective model. We find that, at least at our chosen couplings, QCD behaves like a nonlinear {sigma} model with little change in the local effective potential across the phase transition. This conclusion supports the hypothesis that chiral-symmetry restoration occurs through random fluctuations in a fixed-length order parameter. Included in this work is a thorough test of symmetry breaking and restoration as manifested in the nonlocal staggered chiral fields.
ISSN:0556-2821
1089-4918
DOI:10.1103/PhysRevD.45.4681