Non-perturbative finite-temperature Yang-Mills theory

Abstract

We present non-perturbative correlation functions in Landau-gauge Yang-Mills theory at finite temperature. The results are obtained from the functional renormalisation group within a self-consistent approximation scheme. In particular, we compute the magnetic and electric components of the gluon propagator, and the three- and four-gluon vertices. We also show the ghost propagator and the ghost-gluon vertex at finite temperature. Our results for the propagators are confronted with lattice simulations and our Debye mass is compared to hard thermal loop perturbation theory.

13 pages + appendix

References in corpus (39)

• Exact evolution equation for the effective potential
• Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations
• Infrared Properties of QCD from Dyson-Schwinger equations
• Baryons as relativistic three-quark bound states
• Pinch Technique: Theory and Applications
• The five-loop beta function of Yang-Mills theory with fermions
• Chiral symmetry breaking in continuum QCD
• Non-perturbative quark, gluon and meson correlators of unquenched QCD
• Bridging a gap between continuum-QCD and ab initio predictions of hadron observables
• Infrared propagators of Yang-Mills theory from perturbation theory
• Three-point vertices in Landau-gauge Yang-Mills theory
• Renormalization Group Approach towards the QCD Phase Diagram
• Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory II
• Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory
• Exploratory study of three-point Green's functions in Landau-gauge Yang-Mills theory
• Improved Polyakov-loop potential for effective models from functional calculations
• Polyakov loop modeling for hot QCD
• On the zero crossing of the three-gluon vertex
• Chiral and deconfinement transition from correlation functions: SU(2) vs. SU(3)
• On the Nature of the Phase Transition in SU(N), Sp(2) and E(7) Yang-Mills theory
• Infrared properties of propagators in Landau-gauge pure Yang-Mills theory at finite temperature
• Baryon number fluctuations at finite temperature and density
• A Dyson-Schwinger study of the four-gluon vertex
• Refining the detection of the zero crossing for the symmetric and asymmetric three-gluon vertices
• The infrared behavior of Landau gauge Yang-Mills theory in d=2, 3 and 4 dimensions
• Further Evidence For Zero Crossing On The Three Gluon Vertex
• Three-loop HTL gluon thermodynamics at intermediate coupling
• How nonperturbative is the infrared regime of Landau gauge Yang-Mills correlators?
• Deconfinement transition in SU(2) Yang-Mills theory: A two-loop study
• Universal Aspects of QCD-like Theories
• FORM version 4.2
• Nonperturbative study of the four gluon vertex
• Finite temperature gluon spectral functions from $N_f=2+1+1$ lattice QCD
• Off-shell two loop QCD vertices
• Symmetric point quartic gluon vertex and momentum subtraction
• Dependence of the propagators on the sampling of Gribov copies inside the first Gribov region of Landau gauge
• Vertex functions of Coulomb gauge Yang--Mills theory
• Exploratory study of the temperature dependence of magnetic vertices in SU(2) Landau gauge Yang--Mills theory
• Lattice Landau gauge gluon propagator at finite temperature: non-zero Matsubara frequencies and spectral densities

Cited by in corpus (41)

• The nonperturbative functional renormalization group and its applications
• The QCD phase structure at finite temperature and density
• QCD at finite temperature and chemical potential from Dyson-Schwinger equations
• Extraction of Heavy-Flavor Transport Coefficients in QCD Matter
• QCD phase structure from functional methods
• Chiral phase structure and critical end point in QCD
• Reconstructing the gluon
• Fully coupled functional equations for the quark sector of QCD
• Hyper-order baryon number fluctuations at finite temperature and density
• QCD at finite temperature and density within the fRG approach: An overview
• Fierz-complete NJL model study III: Emergence from quark-gluon dynamics
• Correlation functions of three-dimensional Yang-Mills theory from the FRG
• Finite temperature spectral functions in the O(N)-model
• On mass generation in Landau-gauge Yang-Mills theory
• Gauge-invariant fields and flow equations for Yang-Mills theories
• Bound state properties from the Functional Renormalisation Group
• DoFun 3.0: Functional equations in Mathematica
• Finite-density gauge correlation functions in QC2D
• Towards QCD-assisted hydrodynamics for heavy-ion collision phenomenology
• Numerical fluid dynamics for FRG flow equations: Zero-dimensional QFTs as numerical test cases. I. The $O(N)$ model
• Baryon number fluctuations in the 2+1 flavor low energy effective model
• Ripples of the QCD Critical Point
• Real-time dynamics of the $O(4)$ scalar theory within the fRG approach
• Phase structure of 2+1-flavour QCD and the magnetic equation of state
• Mesonic dynamics and QCD phase transition
• Critical behaviors of the $O(4)$ and $Z(2)$ symmetries in the QCD phase diagram
• Functional flows for complex effective actions
• Baryon number probability distribution at finite temperature
• Gauge copies in the Landau-DeWitt gauge: a background invariant restriction
• Nonperturbative renormalization-group approach preserving the momentum dependence of correlation functions
• Fluctuations of order parameter in an $SU(N_c)$ effective model
• Thermal properties of $\pi$ and $\rho$ meson
• Correlations of conserved charges and QCD phase structure
• Center phase transition from matter propagators in (scalar) QCD
• UV completion of extradimensional Yang-Mills theory for Gauge-Higgs unification
• Chiral criticality and glue dynamics
• Exploring the Tan contact term in Yang-Mills theory
• Addressing energy density functionals in the language of path-integrals II: Comparative study of functional renormalization group techniques applied to the (0+0)-D $O(N)$-symmetric ${\phi }^4$-theory
• QCD chiral phase diagram from weak functional renormalization group
• Transversal and longitudinal gluon spectral functions from twisted mass lattice QCD with $N_f=2+1+1$ flavors
• Emergence of dynamical tensor fields in composite models of gravity