Symmetric point quartic gluon vertex and momentum subtraction

Abstract

We compute the full one loop correction to the quartic vertex of QCD at the fully symmetric point. This allows us to define a new momentum subtraction (MOM) scheme in the class of schemes introduced by Celmaster and Gonsalves. Hence using properties of the renormalization group equation, the two loop renormalization group functions for this scheme are given.

arXiv comment25 latex pages, anc directory contains txt file with electronic version of quartic vertex function, the MOMgggg renormalization group functions, tensor basis and the projection matrix

References in corpus (29)

• The three-loop QCD $\beta$-function and anomalous dimensions
• 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
• Group theory factors for Feynman diagrams
• The Multithreaded version of FORM
• On the IR behaviour of the Landau-gauge ghost propagator
• Constraints on the IR behavior of the ghost propagator in Yang-Mills theories
• Three-point vertices in Landau-gauge Yang-Mills theory
• The three-gluon vertex in Landau gauge
• Gluonic three-point correlations in pure Landau gauge QCD
• Exploratory study of three-point Green's functions in Landau-gauge Yang-Mills theory
• 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
• A magic connection between massive and massless diagrams
• Does The Lattice Zero Momentum Gluon Propagator for Pure Gauge SU(3) Yang-Mills Theory Vanish in the Infinite Volume Limit?
• Quark-gluon vertex in general kinematics
• 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
• The running coupling from the four-gluon vertex in Landau gauge Yang-Mills theory
• Two-loop three-gluon vertex in zero-momentum limit
• 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

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• Landau gauge Yang-Mills correlation functions
• Non-perturbative quark, gluon and meson correlators of unquenched QCD
• Reconstructing the gluon
• Correlation functions of Landau gauge Yang-Mills theory
• Non-perturbative finite-temperature Yang-Mills theory
• Correlation functions of three-dimensional Yang-Mills theory from the FRG
• On mass generation in Landau-gauge Yang-Mills theory
• Nonperturbative study of the four gluon vertex
• Gluon mass scale through nonlinearities and vertex interplay
• Planar degeneracy of the three-gluon vertex
• QCD gluon vertices from the string-inspired formalism
• On the self-consistency of off-shell Slavnov-Taylor identities in QCD
• Symmetric point 4-point functions at one loop in QCD
• Four-gluon vertex from the Curci-Ferrari model at one-loop order
• Gluon correlation functions from lattice quantum chromodynamics