Infrared exponents of Yang-Mills theory

Details Infrared exponents of Yang-Mills theory Infrared exponents of Yang-Mills theory

2005-09-12

arxiv.org/abs/hep-lat/0509031v2

PoS LAT2005 (2005) 330

Physics

High Energy Physics

High Energy Physics - Lattice

6 pages, 3 figures, talk presented at Lattice2005(Topology and Confinement), Dublin, July 25-30, 2005. v2: reference added

Scientific paper

In this talk I summarise recent results on the infrared exponents of SU($N_c$)-Yang-Mills theory. I discuss a self-consistent power law solution for the Dyson-Schwinger equations for general 1PI-Greens functions in the infrared. The corresponding running coupling has a fixed point at zero momentum, which turns out to be universal and gauge invariant within a class of transverse gauges. When calculated on a torus the infrared exponents of the ghost and gluon propagators differ from the corresponding continuum solutions. They agree, however, well with results from lattice calculations.

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