G_2 gauge theory at finite temperature

Abstract

The gauge group being centreless, $G_2$ gauge theory is a good laboratory for studying the role of the centre of the group for colour confinement in Yang-Mills gauge theories. In this paper, we investigate $G_2$ pure gauge theory at finite temperature on the lattice. By studying the finite size scaling of the plaquette, the Polyakov loop and their susceptibilities, we show that a deconfinement phase transition takes place. The analysis of the pseudocritical exponents give strong evidence of the deconfinement transition being first order. Implications of our findings for scenarios of colour confinement are discussed.

17 pages, 8 figures

References in corpus (17)

• Center Dominance and Z2 Vortices in SU(2) Lattice Gauge Theory
• The high temperature phase transition in SU(N) gauge theories
• Colour confinement and dual superconductivity of the vacuum - I
• A study of the 't Hooft loop in SU(2) Yang-Mills theory
• Exceptional Deconfinement in G(2) Gauge Theory
• Exceptional Confinement in G(2) Gauge Theory
• Color Screening, Casimir Scaling, and Domain Structure in G(2) and SU(N) Gauge Theories
• Computation of the Vortex Free Energy in SU(2) Gauge Theory
• Colour confinement and dual superconductivity of the vacuum - II
• Color confinement and dual superconductivity of the vacuum. III
• Color confinement and dual superconductivity in full QCD
• Vortices, monopoles and confinement
• Color confinement and dual superconductivity of the vacuum. IV
• Euler angles for G2
• Monopoles, vortices and confinement in SU(3) gauge theory
• Universality, vortices and confinement: modified SO(3) lattice gauge theory at non-zero temperature
• A finite temperature investigation of dual superconductivity in the modified SO(3) lattice gauge theory

Cited by in corpus (42)

• Gauge bosons at zero and finite temperature
• Universal mechanism of (semi-classical) deconfinement and theta-dependence for all simple groups
• Effective matrix model for deconfinement in pure gauge theories
• Topology and confinement
• Brout-Englert-Higgs physics: From foundations to phenomenology
• On the scaling behavior of the chiral phase transition in QCD in finite and infinite volume
• Deconfinement and continuity between thermal and (super) Yang-Mills theory for all gauge groups
• Generations: Three Prints, in Colour
• Dark Confinement and Chiral Phase Transitions: Gravitational Waves vs Matter Representations
• QCD thermodynamics from lattice calculations with non-equilibrium methods: The SU(3) equation of state
• (S)QCD on R^3 x S^1: Screening of Polyakov loop by fundamental quarks and the demise of semi-classics
• The phase diagram of a gauge theory with fermionic baryons
• Hagedorn spectrum and thermodynamics of SU(2) and SU(3) Yang-Mills theories
• Casimir scaling in G(2) lattice gauge theory
• Exceptional thermodynamics: The equation of state of G(2) gauge theory
• 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
• Phase diagram of the lattice G(2) Higgs Model
• Exceptional and Spinorial Conformal Windows
• Revisiting the deconfinement phase transition in SU(4) Yang-Mills theory in 2+1 dimensions
• On the gauge-algebra dependence of Landau-gauge Yang-Mills propagators
• Hadron masses and baryonic scales in $G_2$-QCD at finite density
• Phase structure and propagators at nonvanishing temperature for QCD and QCD-like theories
• Topology and $\theta$ dependence in finite temperature $G_2$ lattice gauge theory
• Role of the SU($2$) and SU($3$) subgroups in observing confinement in the G($2$) gauge group
• 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
• Lectures on nonperturbative QCD ( Nonperturbative Topological Phenomena in QCD and Related Theories)
• Center symmetry and Hagedorn spectrum
• Contributions of the center vortices and vacuum domain in potentials between static sources
• Constructing a neutron star in G2-QCD
• G2 monopoles
• Confinement, Screening and the Center on S^3 x S^1
• Recent progress on color confinement
• Low-Energy Dynamics of 3d $\mathcal{N}=2$ $G_2$ Supersymmetric Gauge Theory
• Cho decomposition, Abelian gauge fixing and monopoles in G(2) Yang-Mills theory
• $F_4$ , $E_6$ and $G_2$ Exceptional Gauge Groups in Vacuum Domain Structure Model
• The quark propagator in QCD and $G_2$ QCD
• The Resurgence of the G(2) Group for the Strong Sector and the Emergence of Dark Matter
• Phase diagram of the G(2) Higgs model and G(2)-QCD
• Confinement and dual superconductivity of QCD vacuum
• Toward a well defined monopole creation operator