Hamiltonian Flow in Coulomb Gauge Yang-Mills Theory

Abstract

We derive a new functional renormalization group equation for Hamiltonian Yang-Mills theory in Coulomb gauge. The flow equations for the static gluon and ghost propagators are solved under the assumption of ghost dominance within different diagrammatic approximations. The results are compared to those obtained in the variational approach and the reliability of the approximations is discussed.

arXiv comment17 pages, 10 figures

References in corpus (40)

• Exact evolution equation for the effective potential
• The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
• Aspects of the Functional Renormalisation Group
• Optimisation of the exact renormalisation group
• Infrared Properties of QCD from Dyson-Schwinger equations
• On the infrared behavior of Landau gauge Yang-Mills theory
• Pinch Technique: Theory and Applications
• Quark Confinement from Color Confinement
• On the Infrared Exponent for Gluon and Ghost Propagation in Landau Gauge QCD
• Coulomb Gauge QCD, Confinement, and the Constituent Representation
• Infrared behaviour and fixed points in Landau gauge QCD
• On the IR behaviour of the Landau-gauge ghost propagator
• Variational solution of the Yang-Mills Schrödinger equation in Coulomb gauge
• Flow Equations and BRS Invariance for Yang-Mills Theories
• Mind The Gap
• Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory II
• On the Yang-Mills wave functional in Coulomb gauge
• Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory
• Confining Solution of the Dyson-Schwinger Equations in Coulomb Gauge
• Numerical Study of the Ghost-Gluon Vertex in Landau gauge
• On the Nature of the Phase Transition in SU(N), Sp(2) and E(7) Yang-Mills theory
• Gauge invariance and background field formalism in the exact renormalisation group
• Subcritical solution of the Yang-Mills Schroedinger equation in the Coulomb gauge
• Infrared singularities in Landau gauge Yang-Mills theory
• Confinement and gluon propagator in Coulomb gauge QCD
• Infrared analysis of propagators and vertices of Yang--Mills theory in Landau and Coulomb gauge
• Lattice Coulomb Hamiltonian and Static Color-Coulomb Field
• Renormalizable Non-Covariant Gauges and Coulomb Gauge Limit
• Dielectric function of the QCD vacuum
• Propagator Dyson-Schwinger Equations of Coulomb Gauge Yang-Mills Theory Within the First Order Formalism
• Two-Point Functions of Coulomb Gauge Yang-Mills Theory
• Analytic calculation of color-Coulomb potential and color confinement
• Perturbation Theory of Coulomb Gauge Yang-Mills Theory Within the First Order Formalism
• BRST symmetry vs. Horizon condition in Yang-Mills theories
• Infrared Behaviour and Running Couplings in Interpolating Gauges in QCD
• On the infrared scaling solution of SU(N) Yang-Mills theories in the maximally Abelian gauge
• Landau gauge ghost and gluon propagators and the Faddeev-Popov operator spectrum
• Perturbation theory in the Hamiltonian approach to Yang-Mills theory in Coulomb gauge
• Truncating first-order Dyson-Schwinger equations in Coulomb-Gauge Yang-Mills theory
• Equal-time two-point correlation functions in Coulomb gauge Yang-Mills theory

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• Finite-temperature Yang-Mills theory in the Hamiltonian approach in Coulomb gauge from a compactified spatial dimension
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