On the Nature of the Phase Transition in SU(N), Sp(2) and E(7) Yang-Mills theory

Abstract

We study the nature of the confinement phase transition in d=3+1 dimensions in various non-abelian gauge theories with the approach put forward in [1]. We compute an order-parameter potential associated with the Polyakov loop from the knowledge of full 2-point correlation functions. For SU(N) with N=3,...,12 and Sp(2) we find a first-order phase transition in agreement with general expectations. Moreover our study suggests that the phase transition in E(7) Yang-Mills theory also is of first order. We find that it is weaker than for SU(N). We show that this can be understood in terms of the eigenvalue distribution of the order parameter potential close to the phase transition.

15 pages

References in corpus (21)

• Exact evolution equation for the effective potential
• The Phase Structure of the Polyakov--Quark-Meson Model
• A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
• Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations
• Susceptibilities and the Phase Structure of a Chiral Model with Polyakov Loops
• Susceptibilities and speed of sound from PNJL model
• The quark-gluon vertex in Landau gauge QCD: Its role in dynamical chiral symmetry breaking and quark confinement
• Chiral phase boundary of QCD at finite temperature
• Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory II
• Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory
• Exceptional Deconfinement in G(2) Gauge Theory
• Dual quark condensate and dressed Polyakov loops
• Chiral and deconfinement transition from Dyson-Schwinger equations
• Linking confinement to spectral properties of the Dirac operator
• Infrared properties of propagators in Landau-gauge pure Yang-Mills theory at finite temperature
• The QCD Phase Boundary from Quark-Gluon Dynamics
• Just how different are SU(2) and SU(3) Landau-gauge propagators in the IR regime?
• Spectral sums of the Dirac-Wilson Operator and their relation to the Polyakov loop
• Kugo-Ojima color confinement criterion and Gribov-Zwanziger horizon condition
• Combining infrared and low-temperature asymptotes in Yang-Mills theories
• RG flow of the Polyakov-loop potential: First status report

Cited by in corpus (31)

• The nonperturbative functional renormalization group and its applications
• Improved Polyakov-loop potential for effective models from functional calculations
• How Wide is the Transition to Deconfinement?
• QCD at finite temperature and density within the fRG approach: An overview
• A Dyson-Schwinger study of the four-gluon vertex
• Fierz-complete NJL model study III: Emergence from quark-gluon dynamics
• Deconfinement transition in SU(2) Yang-Mills theory: A two-loop study
• Deconfinement and continuity between thermal and (super) Yang-Mills theory for all gauge groups
• Gravitational Waves from Dark Yang-Mills Sectors
• Modeling Finite-Volume Effects and Chiral Symmetry Breaking in Two-Flavor QCD Thermodynamics
• Gluon condensation and scaling exponents for the propagators in Yang-Mills theory
• Hamiltonian Flow in Coulomb Gauge Yang-Mills Theory
• Renormalization Group Studies of Dense Relativistic Systems
• From quarks and gluons to color superconductivity at supranuclear densities
• One-loop RG improvement of the screened massive expansion in the Landau gauge
• Pressure and speed of sound in two-flavor color-superconducting quark matter at next-to-leading order
• Two-point functions of quenched lattice QCD in Numerical Stochastic Perturbation Theory. (II) The gluon propagator in Landau gauge
• Glueballs and the Yang-Mills plasma in a $T$-matrix approach
• Fluctuations of order parameter in an $SU(N_c)$ effective model
• Thermodynamics of the Glueball Resonance Gas
• Perturbative aspects of the deconfinement transition -- Physics beyond the Faddeev-Popov model
• The Nielsen identities in screened theories
• Q-ball formation at the deconfinement temperature in large-$N_c$ QCD
• Analytic continuation and physical content of the gluon propagator
• UV completion of extradimensional Yang-Mills theory for Gauge-Higgs unification
• Screened massive expansion of Schwinger-Dyson equations
• Background Effective Action with Nonlinear Massive Gauge Fixing
• Exploring the Tan contact term in Yang-Mills theory
• Thermal evolution of dark matter and gravitational-wave production in the early universe from a symplectic glueball model
• Gauge copies and the fate of background independence in Yang-Mills theories: a leading order analysis
• The scalar sunset diagram at finite temperature with imaginary square masses