The infrared fixed point of Landau gauge Yang-Mills theory: A renormalization group analysis

Abstract

The infrared behavior of gluon and ghost propagators in Landau gauge Yang-Mills theory has been at the center of an intense debate over the last decade. Different solutions of the Dyson-Schwinger equations show a different behavior of the propagators in the infrared: in the so-called scaling solutions both propagators follow a power law, while in the decoupling solutions the gluon propagator shows a massive behavior. The latest lattice results favor the decoupling solutions. In this contribution, after giving a brief overview of the present status of analytical and semi-analytical approaches to the infrared regime of Landau gauge Yang-Mills theory, we will show how Callan-Symanzik renormalization group equations in an epsilon expansion reproduce both types of solutions and single out the decoupling solutions as the infrared-stable ones for space-time dimensions greater than two, in agreement with the lattice calculations.

17 pages. Talk delivered at the XIII Mexican Workshop on Particles and Fields in Leon, Guanajuato, Mexico, October 2011. Slightly extended version of the contribution to the conference proceedings

References in corpus (1)

• The Landau gauge gluon and ghost propagator in the refined Gribov-Zwanziger framework in 3 dimensions

Cited by in corpus (7)

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• Zero mode in a strongly coupled quark gluon plasma
• Two infrared Yang-Mills solutions in stochastic quantization and in an effective action formalism
• Numerical Evaluation of the Bose-Ghost Propagator in Minimal Landau Gauge on the Lattice
• Gluon Mass Generation from Renormalons and Resurgence