Perturbation theory in the Hamiltonian approach to Yang-Mills theory in Coulomb gauge

Abstract

We study the Hamiltonian approach to Yang-Mills theory in Coulomb gauge in Rayleigh-Schroedinger perturbation theory. The static gluon and ghost propagator as well as the potential between static colour sources are calculated to one-loop order. Furthermore, the one-loop $\beta$-function is calculated from both the ghost-gluon vertex and the static potential and found to agree with the result of covariant perturbation theory.

15 pages, 3 figures

References in corpus (8)

• Confining Solution of the Dyson-Schwinger Equations in Coulomb Gauge
• Coulomb gauge gluon propagator and the Gribov formula
• Subcritical solution of the Yang-Mills Schroedinger equation in the Coulomb gauge
• Dielectric function of the QCD vacuum
• Two-Point Functions of Coulomb Gauge Yang-Mills Theory
• Perturbation Theory of Coulomb Gauge Yang-Mills Theory Within the First Order Formalism
• Hamiltonian Approach to 1+1 dimensional Yang-Mills theory in Coulomb gauge
• Topological susceptibility in SU(2) Yang-Mills theory in the Hamiltonian approach in Coulomb gauge

Cited by in corpus (12)

• Non-Gaussian wave functionals in Coulomb gauge Yang--Mills theory
• The Coulomb gauge ghost Dyson-Schwinger equation
• Hamiltonian Flow in Coulomb Gauge Yang-Mills Theory
• Ghost propagator and the Coulomb form factor from the lattice
• The Wilson loop from a Dyson equation
• Boost operators in Coulomb-gauge QCD: the pion form factor and Fock expansions in phi radiative decays
• Chiral symmetry restoration at finite temperature within the Hamiltonian approach to QCD in Coulomb gauge
• Equal-time two-point correlation functions in Coulomb gauge Yang-Mills theory
• Dyson--Schwinger approach to Hamiltonian Quantum Chromodynamics
• The Equal-Time Quark Propagator in Coulomb Gauge
• Deconfinement phase transition in the Hamiltonian approach to Yang-Mills theory in Coulomb gauge
• Perturbative Yang-Mills Ground State in the Temporal Gauge