Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory

By C. Fischer, Jan M. Pawlowski. 2006

134 citations recorded by the source corpus.

We uniquely determine the infrared asymptotics of Green functions in Landau gauge Yang-Mills theory. They have to satisfy both the Dyson-Schwinger equations and functional renormalization group equations. Then, the requirement of consistency fixes the relation between the infrared power laws of these Green functions. We discuss consequences for the interpretation of recent results from lattice QCD.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/6f80d0ec2756371ee4f1fec159c397e5aa096d90

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In Nuclear and High Energy Physics

Citations in the corpus

The nonperturbative functional renormalization group and its applications (2020, methodology): “Respective FRG-results and applications for the gapped gluon propagator in Yang-Mills theory and QCD in the Landau gauge are given in [162, 676, 711, 713, 721, 727, 811, 812], for related work see [722–724, 753, 813].”
The QCD running coupling (2016, background): “It was shown that the scaling scenario in the Landau gauge leads to a well defined running of the coupling [249, 254, 255, 256].”
Nonperturbative properties of Yang–Mills theories (2018, methodology): “Such analyses were made possible by the combination of the functional RG and DSEs as initially introduced in [347] or under the assumption of a convergent skeleton expansion [348, 355].”
The Infrared Behaviour of the Pure Yang–Mills Green Functions (2005, background): “First, it was reported that FRGs analysis of the Landau-gauge lowmomentum behaviour for the Yang–Mills Green functions leads to the uniqueness of a scaling-type solution [30,50], but it has been recently proven, also within FRGs, that both scaling and decoupling solutions exist [52].”
QCD at finite temperature and chemical potential from Dyson–Schwinger equations (2018, background): “In the small momentum regime, p 100 MeV, the DSEs can be solved analytically and exact solutions without any truncations are possible [196, 197, 262, 309, 310].”
What's up with IR gluon and ghost propagators in Landau gauge? A puzzling answer from huge lattices (2007, methodology): “gime [33], in the interpolating gauge (or λ-gauge) [34] and in Coulomb gauge [35]. From the analytic point of view, it may seem necessary to reconsider partially the conventional conﬁnement scenarios [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12] disc ussed in the Introduction. One should of course recall ”