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Confinement from Correlation Functions

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arxiv 1301.4163 v1 pith:LQM4QFKS submitted 2013-01-17 hep-ph hep-lathep-th

Confinement from Correlation Functions

classification hep-ph hep-lathep-th
keywords confinementcorrelationfunctionalfunctionscriterionequationslooppolyakov
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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