Phase Structure of {QCD} at High Temperature With Massive Quarks and Finite Quark Density: A $Z$(3) Paradigm

DeGrand, Thomas A.; DeTar, Carleton E.

doi:10.1016/0550-3213(83)90536-9

Phase Structure of {QCD} at High Temperature With Massive Quarks and Finite Quark Density: A $Z$ (3) Paradigm

Thomas A. DeGrand
(
- Colorado U.
)
,
Carleton E. DeTar
(
- Utah U.
)

Jul, 1983

31 pages

Published in:

Nucl.Phys.B 225 (1983) 590

Contribution to:

11th International Symposium on Lepton and Photon Interactions at High Energies

Published: 1983

DOI:

10.1016/0550-3213(83)90536-9

Report number:

UU-HEP-83-8,
COLO-HEP-66

reference search118 citations

Citations per year

Abstract: (Elsevier)

The confinement/deconfinement phase transition in SU(3) lattice gauge theories at high temperatures is analogous to that of the Z(3) gauge theories. We study various Z(3) gauge-matter theories that result from replacing the gauge group SU(3) with its center Z(3). We include large-mass fermions in the Wilson formulation and allow a chemical potential. We show that in the limit of strong coupling and high temperature the (3 + 1)-dimensional theory becomes a three state, three-dimensional Potts model with uniform external fields of real and imaginary strengths related to the fermion mass and chemical potential. By studying the phase structure of the q = 3, d = 3 Potts model with external fields we argue that the confinement/deconfinement phase transition is first order, but highly sensitive to external fields, and that it does not occur at “strong coupling” in a Z(3) gauge theory if there is a light enough fermion present. We discuss the consequences of this result for QCD.

GAUGE FIELD THEORY: SU(3)
LATTICE FIELD THEORY: CRITICAL PHENOMENA
GAUGE FIELD THEORY: Z(3)
GAUGE FIELD THEORY: Z(2)
QUARK: CONFINEMENT
MODEL: POTTS
QUANTUM CHROMODYNAMICS
APPROXIMATION: MEAN FIELD
FERMION: LATTICE FIELD THEORY
NUMERICAL CALCULATIONS: MONTE CARLO

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Phase Structure of {QCD} at High Temperature With Massive Quarks and Finite Quark Density: A ZZZ(3) Paradigm

Citations per year

Phase Structure of {QCD} at High Temperature With Massive Quarks and Finite Quark Density: A $Z$ (3) Paradigm