Epsilon expansion for infrared Yang-Mills theory in Landau gauge

Abstract

The study of the Dyson-Schwinger equations of Landau gauge Yang-Mills theory has revealed two types of solutions for the gluon and ghost propagators, with a scaling and a massive (decoupling) behavior in the extreme infrared, respectively. We show that both types of solutions are quantitatively reproduced by applying renormalization group equations of Callan-Symanzik type in an epsilon expansion to the infrared limit of Landau gauge Yang-Mills theory when a mass term for the gluons is added to the action. Only the decoupling solution corresponds to an infrared-stable fixed point in three and four space-time dimensions and is hence expected to be physically realized, in agreement with the results of recent lattice calculations.

12 pages, LaTeX; several short comments and references added; to be published in Phys. Rev. D

References in corpus (5)

• A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
• Infrared propagators of Yang-Mills theory from perturbation theory
• An Infrared Safe perturbative approach to Yang-Mills correlators
• Two- and three-point Green's functions in two-dimensional Landau-gauge Yang-Mills theory
• Infrared Gluon and Ghost Propagators

Cited by in corpus (21)

• Correlation functions of Landau gauge Yang-Mills theory
• How nonperturbative is the infrared regime of Landau gauge Yang-Mills correlators?
• Two-loop study of the deconfinement transition in Yang-Mills theories: SU(3) and beyond
• An all-order proof of the equivalence between Gribov's no-pole and Zwanziger's horizon conditions
• On mass generation in Landau-gauge Yang-Mills theory
• Small parameters in infrared quantum chromodynamics
• The ghost-antighost-gluon vertex from the Curci-Ferrari model: Two-loop corrections
• Modeling the Landau-Gauge Ghost Propagator in 2, 3 and 4 Space-Time Dimensions
• $\rho$ condensation and physical parameters
• The universal character of Zwanziger's horizon function in Euclidean Yang-Mills theories
• The (IR-)relevance of the Gribov ambiguity in SU(2) x U(1) gauge theories with fundamental Higgs matter
• Ghost sector and geometry in minimal Landau gauge: further constraining the infinite-volume limit
• Nonlocal Nambu-Jona-Lasinio model and chiral chemical potential
• On a renormalizable class of gauge fixings for the gauge invariant operator $A_{\min }^2$
• Physical spectrum from confined excitations in a Yang-Mills-inspired toy model
• Small parameters in infrared QCD: The pion decay constant
• The infrared fixed point of Landau gauge Yang-Mills theory: A renormalization group analysis
• Study of a gauge invariant local composite fermionic field
• A window on infrared QCD with small expansion parameters
• Numerical Evaluation of the Bose-Ghost Propagator in Minimal Landau Gauge on the Lattice
• Running mass of the gluon propagator in the Landau gauge