On the Yang-Mills wave functional in Coulomb gauge

Abstract

We investigate the dependence of the Yang-Mills wave functional in Coulomb gauge on the Faddeev-Popov determinant. We use a Gaussian wave functional multiplied by an arbitrary power of the Faddeev-Popov determinant. We show, that within the resummation of one-loop diagrams the stationary vacuum energy is independent of the power of the Faddeev-Popov determinant and, furthermore, the wave functional becomes field-independent in the infrared, describing a stochastic vacuum. Our investigations show, that the infrared limit is rather robust against details of the variational ansätze for the Yang-Mills wave functional. The infrared limit is exclusively determined by the divergence of the Faddeev-Popov determinant at the Gribov horizon.

9 pages, no figures

References in corpus (1)

• Variational solution of the Yang-Mills Schrödinger equation in Coulomb gauge

Cited by in corpus (108)

• Deconfinement and Chiral Symmetry Restoration in a Strong Magnetic Background
• Variational solution of the Yang-Mills Schrödinger equation in Coulomb gauge
• The Infrared Behaviour of the Pure Yang-Mills Green Functions
• Restoration of chiral and $U(1{)}_A$ symmetries in excited hadrons
• Confining Solution of the Dyson-Schwinger Equations in Coulomb Gauge
• Infrared behaviour of the ghost-gluon vertex in Landau gauge Yang-Mills theory
• Heavy quarkonium hybrids from Coulomb gauge QCD
• Subcritical solution of the Yang-Mills Schroedinger equation in the Coulomb gauge
• Infrared analysis of propagators and vertices of Yang--Mills theory in Landau and Coulomb gauge
• Magnetic Susceptibility of the Quark Condensate and Polarization from Chiral Models
• Analytical study of Yang-Mills theory in the infrared from first principles
• Non-Gaussian wave functionals in Coulomb gauge Yang--Mills theory
• How nonperturbative is the infrared regime of Landau gauge Yang-Mills correlators?
• A study of the Gribov copies in linear covariant gauges in Euclidean Yang-Mills theories
• Analytic structure of QCD propagators in Minkowski space
• Dielectric function of the QCD vacuum
• Chirally symmetric but confining dense and cold matter
• Equation of State of Gluon Plasma from Local Action
• Propagator Dyson-Schwinger Equations of Coulomb Gauge Yang-Mills Theory Within the First Order Formalism
• A covariant variational approach to Yang-Mills Theory
• Leading order infrared quantum chromodynamics in Coulomb gauge
• Two-Point Functions of Coulomb Gauge Yang-Mills Theory
• The gluon propagator in Feynman gauge by the method of stationary variance
• Chiral symmetry patterns of excited mesons with the Coulomb-like linear confinement
• Perturbation Theory of Coulomb Gauge Yang-Mills Theory Within the First Order Formalism
• The influence of the Gribov copies on the gluon and ghost propagators in Euclidean Yang-Mills theory in the maximal Abelian gauge
• Coulomb-gauge ghost and gluon propagators in SU(3) lattice Yang-Mills theory
• Dimensional Reduction and the Yang-Mills Vacuum State in 2+1 Dimensions
• The 't Hooft loop in the Hamiltonian approach to Yang-Mills theory in Coulomb gauge
• Yang-Mills correlators across the deconfinement phase transition
• Chiral symmetry breaking in Hamiltonian QCD in Coulomb gauge
• Variational approach to Yang-Mills theory at finite temperatures
• Testing Proposals for the Yang-Mills Vacuum Wavefunctional by Measurement of the Vacuum
• The gluon propagator in linear covariant $R_{\xi }$ gauges
• A covariant variational approach to Yang-Mills Theory at finite temperatures
• Properties of Color-Coulomb String Tension
• Second order gluon polarization for SU(N) theory in linear covariant gauge
• Energy spectrum of the low-lying gluon excitations in the Coulomb gauge
• On the spectrum of the Faddeev-Popov operator in topological background fields
• Hamiltonian Flow in Coulomb Gauge Yang-Mills Theory
• Charmonium meson and hybrid radiative transitions
• The deconfinement phase transition in the Hamiltonian approach to Yang--Mills theory in Coulomb gauge
• Resolving temporal Gribov copies in Coulomb gauge Yang-Mills theory
• Improved variational approach to QCD in Coulomb gauge
• Coulomb energy and gluon distribution in the presence of static sources
• Hamiltonian Approach to 1+1 dimensional Yang-Mills theory in Coulomb gauge
• Effective restoration of chiral symmetry in excited mesons
• A model for QCD ground state with magnetic disorder
• The role of center vortices in Gribov's confinement scenario
• Spontaneous chiral symmetry breaking in the massive Landau gauge: realistic running coupling
• Quarks in Coulomb gauge perturbation theory
• Revised variational approach to QCD in Coulomb gauge
• Variational study of mass generation and deconfinement in Yang-Mills theory
• Infrared-suppressed gluon propagator in 4d Yang-Mills theory in a Landau-like gauge
• Infrared stability of quarkyonic matter with the 1/p^4 confinement
• The Yang-Mills Vacuum in Coulomb Gauge in D=2+1 Dimensions
• Calculation of the non-perturbative strong coupling from first principles
• Covariant variational approach to Yang-Mills Theory: effective potential of the Polyakov loop
• One-loop RG improvement of the screened massive expansion in the Landau gauge
• Different faces of confinement
• The ghost-gluon vertex in Hamiltonian Yang-Mills theory in Coulomb gauge
• The Wilson loop from a Dyson equation
• Perturbation theory in the Hamiltonian approach to Yang-Mills theory in Coulomb gauge
• Finite-temperature Yang-Mills theory in the Hamiltonian approach in Coulomb gauge from a compactified spatial dimension
• Infrared behavior of the Faddeev-Popov operator in Coulomb gauge QCD
• A conjecture on the infrared structure of the vacuum Schrodinger wave functional of QCD
• Confined but chirally symmetric hadrons at large density and the Casher's argument
• Hamiltonian finite-temperature quantum field theory from its vacuum on partially compactified space
• Chiral symmetry restoration at finite temperature within the Hamiltonian approach to QCD in Coulomb gauge
• On the temporal Wilson loop in the Hamiltonian approach in Coulomb gauge
• Gribov horizon and Gribov copies effect in lattice Coulomb gauge
• Dyson--Schwinger approach to Hamiltonian Quantum Chromodynamics
• Equal-time two-point correlation functions in Coulomb gauge Yang-Mills theory
• Bethe-Salpeter equation at leading order in Coulomb gauge
• Dyson-Schwinger approach to strongly coupled theories
• Effective theory of the D = 3 center vortex ensemble
• Covariant variational approach to Yang-Mills Theory: Thermodynamics
• An exactly solvable limit of low energy QCD
• Topological susceptibility in SU(2) Yang-Mills theory in the Hamiltonian approach in Coulomb gauge
• Chiral symmetry restoration and deconfinement in Coulomb Gauge QCD
• Variational and Dyson--Schwinger Equations of Hamiltonian Quantum Chromodynamics
• Mixing and $m_q$ dependence of axial vector mesons in the Coulomb gauge QCD model
• Chiral and deconfinement phase transition in the Hamiltonian approach to QCD in Coulomb gauge
• The Nielsen identities in screened theories
• Color Coulomb Potential in Yang-Mills Theory from Hamiltonian Flows
• Analytic continuation and physical content of the gluon propagator
• Screened massive expansion of Schwinger-Dyson equations
• Hamiltonian approach to Yang-Mills theory in Coulomb gauge
• Functional approaches to infrared Yang-Mills theory in the Coulomb gauge
• Chirally symmetric and confining dense matter with a diffused quark Fermi surface
• Quark sector of Coulomb gauge Quantum Chromodynamics
• Yang-Mills Ground State in 2+1 Dimensions and Temporal Gauge
• Baryons from quarks in curved space and deconfinement
• A Numerical Approach to Coulomb Gauge QCD
• Hamiltonian approach to Coulomb gauge Yang-Mills Theory
• The effective potential of the Polyakov loop in the Hamiltonian approach to QCD
• Local renormalizable gauge theories from nonlocal operators
• Non-perturbative aspects of Yang-Mills theories
• Heat-kernel expansion and counterterms of the Faddeev-Popov determinant in Coulomb and Landau gauge
• Hamiltonian approach to QCD in Coulomb gauge at zero and finite temperature
• Gluelump spectrum from Coulomb gauge QCD
• The Yang-Mills vacuum in Coulomb gauge
• Hamiltonian approach to QCD in Coulomb gauge: From the vacuum to finite temperatures
• Screened massive expansion of the quark propagator in the Landau gauge
• Hamiltonian Flow of Yang-Mills Theory in Coulomb Gauge
• Variational Neural Network Approach to QFT in the Field Basis
• Static force potential of non-abelian gauge theory at a finite box in Coulomb gauge
• Hamiltonian approach to QCD in Coulomb gauge: Gribov's confinement scenario at work