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.
Cited by 4
Shimasadat Asnafi et al., BRST-invariant RG flows
Phys. Rev. D 99, 085009 (2019) [Crossref]
A. C. Aguilar et al., Nonperturbative structure of the ghost-gluon kernel
Phys. Rev. D 99, 034026 (2019) [Crossref]
A. C. Aguilar et al., Nonperturbative Ball-Chiu construction of the three-gluon vertex
Phys. Rev. D 99, 094010 (2019) [Crossref]
Milan Vujinović et al., Probing the tensor structure of lattice three-gluon vertex in Landau gauge
Phys. Rev. D 99, 034501 (2019) [Crossref]
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- 1 Lukas Corell,
- 1 Anton K. Cyrol,
- 2 Mario Mitter,
- 1 3 Jan M. Pawlowski,
- 4 Nils Strodthoff
- 1 Ruprecht-Karls-Universität Heidelberg / Heidelberg University
- 2 Brookhaven National Laboratory [BNL]
- 3 ExtreMe Matter Institute [EMMI]
- 4 Lawrence Berkeley National Laboratory [LBNL]