Off-shell two loop QCD vertices

Abstract

We calculate the triple gluon, ghost-gluon and quark-gluon vertex functions at two loops in the MSbar scheme in the chiral limit for an arbitrary linear covariant gauge when the external legs are all off-shell.

29 latex pages, 32 figures, anc directory contains txt file with electronic version of vertex functions for each of the three 3-point cases in the MSbar scheme and includes the projection matrices

References in corpus (34)

• Dyson-Schwinger Equations and the Application to Hadronic Physics
• Harmonic Polylogarithms
• The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
• The three-loop QCD $\beta$-function and anomalous dimensions
• Dyson-Schwinger equations: a tool for hadron physics
• Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations
• Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared
• On the infrared behavior of Landau gauge Yang-Mills theory
• Reduze - Feynman Integral Reduction in C++
• Constraints on the IR behavior of the gluon propagator in Yang-Mills theories
• The Multithreaded version of FORM
• Harmonic Sums and Polylogarithms Generated by Cyclotomic Polynomials
• On the IR behaviour of the Landau-gauge ghost propagator
• Constraints on the IR behavior of the ghost propagator in Yang-Mills theories
• High-precision calculation of multi-loop Feynman integrals by difference equations
• The three-gluon vertex in Landau gauge
• Gluonic three-point correlations in pure Landau gauge QCD
• New results for two-loop off-shell three-point diagrams
• Two- and three-point Green's functions in two-dimensional Landau-gauge Yang-Mills theory
• Three-gluon vertex in arbitrary gauge and dimension
• Quark-gluon vertex in arbitrary gauge and dimension
• Large momentum expansion of two-loop self-energy diagrams with arbitrary masses
• Master Integrals For Massless Two-Loop Vertex Diagrams With Three Offshell Legs
• Does The Lattice Zero Momentum Gluon Propagator for Pure Gauge SU(3) Yang-Mills Theory Vanish in the Infinite Volume Limit?
• Two-loop matching factors for light quark masses and three-loop mass anomalous dimensions in the RI/SMOM schemes
• The Form Factors of the Gauge-Invariant Three-Gluon Vertex
• Two Loop QCD Vertices and Three Loop MOM $\beta$ functions
• Two-loop three-gluon vertex in zero-momentum limit
• Precise MS-bar light-quark masses from lattice QCD in the RI/SMOM scheme
• Zero-threshold expansion of two-loop self-energy diagrams
• Two loop QCD vertices at the symmetric point
• A covariant representation of the Ball-Chiu vertex
• On-shell two-loop three-gluon vertex
• Quark mass dependence of the one-loop three-gluon vertex in arbitrary dimension

Cited by in corpus (19)

• Chiral symmetry breaking in continuum QCD
• Landau gauge Yang-Mills correlation functions
• Non-perturbative quark, gluon and meson correlators of unquenched QCD
• From Quarks and Gluons to Hadrons: Chiral Symmetry Breaking in Dynamical QCD
• Non-perturbative finite-temperature Yang-Mills theory
• FormTracer - A Mathematica Tracing Package Using FORM
• Four-loop QCD propagators and vertices with one vanishing external momentum
• Non-Abelian Ball-Chiu vertex for arbitrary Euclidean momenta
• Quark-gluon vertex from the Landau gauge Curci-Ferrari model
• Planar degeneracy of the three-gluon vertex
• On the self-consistency of off-shell Slavnov-Taylor identities in QCD
• Momentum subtraction and the R-ratio
• Novel sum rules for the three-point sector of QCD
• Gluon dynamics from an ordinary differential equation
• Three-point vertex functions in Yang-Mills Theory and QCD in Landau gauge
• The Generalised LKF Transformations for Arbitrary $N$-point Fermion Correlators
• Maximal abelian and Curci-Ferrari gauges in momentum subtraction at three loops
• QCD propagators and vertices from lattice QCD (in memory of Michael Müller-Preußker)
• Non-perturbative gauge transformations of arbitrary fermion correlation functions in quantum electrodynamics