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On the infrared behavior of Landau gauge Yang-Mills theory. (English) Zbl 1176.81082

Summary: We discuss the properties of ghost and gluon propagators in the deep infrared momentum region of Landau gauge Yang-Mills theory. Within the framework of Dyson-Schwinger equations and the functional renormalization group we demonstrate that it is only a matter of infrared boundary conditions whether infrared scaling or decoupling occurs. We argue that the second possibility is at odds with global BRST symmetry in the confining phase. For this purpose we improve upon existing truncation schemes in particular with respect to transversality and renormalization.

MSC:

81T13 Yang-Mills and other gauge theories in quantum field theory
81T17 Renormalization group methods applied to problems in quantum field theory
81V35 Nuclear physics
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