Topology and $\theta$ dependence in finite temperature $G_2$ lattice gauge theory

Abstract

In this work we study the topological properties of the $G_2$ lattice gauge theory by means of Monte Carlo simulations. We focus on the behaviour of topological quantities across the deconfinement transition and investigate observables related to the $\theta$ dependence of the free energy. As in $SU(N)$ gauge theories, an abrupt change happens at deconfinement and an instanton gas behaviour rapidly sets in for $T>T_c$.

11 pages, 8 eps figures (typos corrected in eq.2.5 and 2.7 with respect to the published version)

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• QCD thermodynamics from lattice calculations with non-equilibrium methods: The SU(3) equation of state
• Topological critical slowing down: variations on a toy model
• Hagedorn spectrum and thermodynamics of SU(2) and SU(3) Yang-Mills theories
• Cosmological CP odd axion field as the coherent Berry's phase of the Universe
• Exceptional thermodynamics: The equation of state of G(2) gauge theory
• $\theta$ dependence in trace deformed $SU(3)$ Yang-Mills theory: a lattice study
• Quasi-instantons in QCD with chiral symmetry restoration
• Recent progress on QCD inputs for axion phenomenology
• QCD topology and axion properties in an isotropic hot and dense medium
• Constructing a neutron star in G2-QCD
• Cho decomposition, Abelian gauge fixing and monopoles in G(2) Yang-Mills theory