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arXiv · 1301.4163

Confinement from Correlation Functions

Leonard Fister·Jan M. Pawlowski
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Abstract

We compute the Polyakov loop potential in Yang--Mills theory from the fully dressed primitively divergent correlation functions only. This is done in a variety of functional approaches ranging from functional renormalisation group equations over Dyson--Schwinger equations to two-particle irreducible functionals. We present a confinement criterion that links the infrared behaviour of propagators and vertices to the Polyakov loop expectation value. The present work extends the works of [1-3] to general functional methods and sharpens the confinement criterion presented there. The computations are based on the thermal correlation functions in the Landau gauge calculated in [4-6].

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Leonard Fister, Jan M. Pawlowski. 2013-01-17. Confinement from Correlation Functions. https://doi.org/10.1103/physrevd.88.045010

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