Correlation functions of three-dimensional Yang-Mills theory from the FRG

We compute correlation functions of three-dimensional Landau-gauge Yang-Mills theory with the Functional Renormalisation Group. Starting from the classical action as only input, we calculate the non-perturbative ghost and gluon propagators as well as the momentum-dependent ghost-gluon, three-gluon,...

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Hauptverfasser: Corell, Lukas (VerfasserIn) , Cyrol, Anton Konrad (VerfasserIn) , Mitter, Mario (VerfasserIn) , Pawlowski, Jan M. (VerfasserIn) , Strodthoff, Nils (VerfasserIn)
Dokumenttyp: Article (Journal) Kapitel/Artikel
Sprache:Englisch
Veröffentlicht: 9 Apr 2018
In: Arxiv

Online-Zugang:Verlag, Volltext: http://arxiv.org/abs/1803.10092
Volltext
Verfasserangaben:Lukas Corell, Anton K. Cyrol, Mario Mitter, Jan M. Pawlowski, and Nils Strodthoff
Beschreibung
Zusammenfassung:We compute correlation functions of three-dimensional Landau-gauge Yang-Mills theory with the Functional Renormalisation Group. Starting from the classical action as only input, we calculate the non-perturbative ghost and gluon propagators as well as the momentum-dependent ghost-gluon, three-gluon, and four-gluon vertices in a comprehensive truncation scheme. Compared to the physical case of four spacetime dimensions, we need more sophisticated truncations due to significant contributions from non-classical tensor structures. In particular, we apply a special technique to compute the tadpole diagrams of the propagator equations, which captures also all perturbative two-loop effects, and compare our correlators with lattice and Dyson-Schwinger results.
Beschreibung:Gesehen am 18.12.2018
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