Perturbation Theory of Coulomb Gauge Yang-Mills Theory Within the First Order Formalism

Abstract

Perturbative Coulomb gauge Yang-Mills theory within the first order formalism is considered. Using a differential equation technique and dimensional regularization, analytic results for both the ultraviolet divergent and finite parts of the two-point functions at one-loop order are derived. It is shown how the non-ultraviolet divergent parts of the results are finite at spacelike momenta with kinematical singularities on the light-cone and subsequent branch cuts extending into the timelike region.

23 pages, 6 figures

References in corpus (3)

• Infrared Properties of QCD from Dyson-Schwinger equations
• Feynman Diagrams and Differential Equations
• Propagator Dyson-Schwinger Equations of Coulomb Gauge Yang-Mills Theory Within the First Order Formalism

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• Hamiltonian Flow in Coulomb Gauge Yang-Mills Theory
• Running mass, effective energy and confinement: the lattice quark propagator in Coulomb gauge
• Resolving temporal Gribov copies in Coulomb gauge Yang-Mills theory
• Hamiltonian Approach to 1+1 dimensional Yang-Mills theory in Coulomb gauge
• Quarks in Coulomb gauge perturbation theory
• Higher order heavy quark Green's functions in Coulomb gauge
• Three-quark confinement potential from the Faddeev equation
• Coulomb gauge Green functions and Gribov copies in SU(2) lattice gauge theory
• Heavy tetraquark confining potential in Coulomb gauge QCD
• Quark sector of Coulomb gauge Quantum Chromodynamics
• Hamiltonian approach to Coulomb gauge Yang-Mills Theory