Infrared Behavior of 3-Point Functions in Landau Gauge Yang-Mills Theory

Details Infrared Behavior of 3-Point Functions in Landau Gauge Yang-Mills Theory Infrared Behavior of 3-Point Functions in Landau Gauge Yang-Mills Theory

2008-12-23

arxiv.org/abs/0812.4451v1

PoS Confinement8:174,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

3 pages, 5 figures

Scientific paper

The three-gluon and ghost-gluon vertices of Landau gauge Yang-Mills theory are investigated in the low momentum regime. Due to ghost dominance in the infrared we can use the known power law behavior for the propagators to determine analytically the complete momentum dependence of the dressing functions. Besides a uniform, i. e. all momenta going to zero, divergence, we find additional singularities, if one momentum alone goes to zero, while the other two remain constant. At these asymmetric points we can extract additional infrared exponents, which corroborate previous results and expand the known fixed point solution of Landau gauge Yang-Mills theory, where the uniform infrared exponents for all vertex functions are known. Calculations in two and three dimensions yield qualitatively similar results.

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