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arXiv · 1112.1157

Epsilon expansion for infrared Yang-Mills theory in Landau gauge

Axel Weber
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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.

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Axel Weber. 2012-05-27. Epsilon expansion for infrared Yang-Mills theory in Landau gauge. https://doi.org/10.1103/physrevd.85.125005

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