Effective Polyakov Loop Dynamics for Finite Temperature G(2) Gluodynamics

Abstract

Based on the strong coupling expansion we obtain effective 3-dimensional models for the Polyakov loop in finite-temperature G_2 gluodynamics. The Svetitsky-Jaffe conjecture relates the resulting continuous spin models with G_2 gluodynamics near phase transition points. In the present work we analyse the effective theory in leading order with the help of a generalised mean field approximation and with detailed Monte-Carlo simulations. In addition we derive a Potts-type discrete spin model by restricting the characters of the Polyakov loops to the three extremal points of the fundamental domain of G_2. Both the continuous and discrete effective models show a rich phase structure with a ferromagnetic, symmetric and several anti-ferromagnetic phases. The phase diagram contains first and second order transition lines and tricritical points. The modified mean field predictions compare very well with the results of our simulations.

10 pages, 14 figures

References in corpus (9)

• Exceptional Deconfinement in G(2) Gauge Theory
• Color Screening, Casimir Scaling, and Domain Structure in G(2) and SU(N) Gauge Theories
• Casimir scaling in G(2) lattice gauge theory
• Inverse Monte-Carlo determination of effective lattice models for SU(3) Yang-Mills theory at finite temperature
• Phase Structure of Z(3)-Polyakov-Loop Models
• Effective Actions for the SU(2) Confinement-Deconfinement Phase Transition
• Chiral symmetry and spectral properties of the Dirac operator in G2 Yang-Mills Theory
• Equilibrium criterion and effective spin models for finite temperature gauge theories
• Ward Identities for Invariant Group Integrals

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• Casimir Scaling and String Breaking in G(2) Gluodynamics
• Exceptional thermodynamics: The equation of state of G(2) gauge theory
• Phase diagram of the lattice G(2) Higgs Model
• On the gauge-algebra dependence of Landau-gauge Yang-Mills propagators
• Topological aspects of G2 Yang-Mills theory
• Constructing a neutron star in G2-QCD
• G2 monopoles
• Quantum fields in the non-perturbative regime - Yang-Mills theory and gravity