Phase diagram of the lattice G(2) Higgs Model

Abstract

We study the phases and phase transition lines of the finite temperature G(2) Higgs model. Our work is based on an efficient local hybrid Monte-Carlo algorithm which allows for accurate measurements of expectation values, histograms and susceptibilities. On smaller lattices we calculate the phase diagram in terms of the inverse gauge coupling $\beta$ and the hopping parameter $\kappa$. For $\kappa \to 0$ the model reduces to G(2) gluodynamics and for $\kappa \to \infty$ to SU(3) gluodynamics. In both limits the system shows a first order confinement-deconfinement transition. We show that the first order transitions at asymptotic values of the hopping parameter are almost joined by a line of first order transitions. A careful analysis reveals that there exists a small gap in the line where the first order transitions turn into continuous transitions or a cross-over region. For $\beta \to \infty$ the gauge degrees of freedom are frozen and one finds a nonlinear O(7) sigma model which exhibits a second order transition from a massive O(7)-symmetric to a massless O(6)-symmetric phase. The corresponding second order line for large $\beta$ remains second order for intermediate $\beta$ until it comes close to the gap between the two first order lines. Besides this second order line and the first order confinement-deconfinement transitions we find a line of monopole-driven bulk transitions which do not interfer with the confinement-deconfinment transitions.

20 pages, 22 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
• G_2 gauge theory at finite temperature
• Casimir Scaling and String Breaking in G(2) Gluodynamics
• Casimir scaling in G(2) lattice gauge theory
• Phase Structure of Z(3)-Polyakov-Loop Models
• Chiral symmetry and spectral properties of the Dirac operator in G2 Yang-Mills Theory
• A first look at Landau-gauge propagators in G2 Yang-Mills theory
• Generalized Potts-Models and their Relevance for Gauge Theories

Cited by in corpus (8)

• The phase diagram of a gauge theory with fermionic baryons
• Exceptional thermodynamics: The equation of state of G(2) gauge theory
• An Exceptional G(2) Extension of the Standard Model from the Correspondence with Cayley-Dickson Algebras Automorphism Groups
• Topological aspects of G2 Yang-Mills theory
• Quark Confinement in Restricted SU(2) Gauge Theory
• Cho decomposition, Abelian gauge fixing and monopoles in G(2) Yang-Mills theory
• The Resurgence of the G(2) Group for the Strong Sector and the Emergence of Dark Matter
• Strongly Interacting Dark Matter admixed Neutron Stars