SciPost Physics

SciPost Phys. 5, 066 (2018) · published 21 December 2018

• doi: 10.21468/SciPostPhys.5.6.066
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Abstract

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.

• Aguilar et al., Ghost dynamics in the soft gluon limit
  Phys. Rev. D 104, 054028 (2021) [Crossref]
• Horak et al., Gluon condensates and effective gluon mass
  SciPost Phys. 13, 042 (2022) [Crossref]
• Dupuis et al., The nonperturbative functional renormalization group and its applications
  Physics Reports 910, 1 (2021) [Crossref]
• Ferreira, Evidence of the Schwinger Mechanism from Lattice QCD
  Few-Body Syst 64, 27 (2023) [Crossref]
• Asnafi et al., BRST-invariant RG flows
  Phys. Rev. D 99, 085009 (2019) [Crossref]
• Ohta et al., Higgs scalar potential coupled to gravity in the exponential parametrization in arbitrary gauge
  Phys. Rev. D 105, 026013 (2022) [Crossref]
• Pinto-Gómez, The Three-Gluon Vertex from Quenched Lattice QCD in Landau Gauge
  Few-Body Syst 64, 43 (2023) [Crossref]
• Contant et al., Dense two-color QCD from Dyson-Schwinger equations
  Phys. Rev. D 101, 014016 (2020) [Crossref]
• Barrios et al., Two-loop three-gluon vertex from the Curci-Ferrari model and its leading infrared behavior to all loop orders
  Phys. Rev. D 106, 114039 (2022) [Crossref]
• Fukushima et al., Emergent hadrons and diquarks
  Annals of Physics 446, 169106 169106 (2022) [Crossref]
• Aguilar et al., Nonperturbative structure of the ghost-gluon kernel
  Phys. Rev. D 99, 034026 (2019) [Crossref]
• Rothkopf et al., Three-gluon vertex in Landau-gauge from quenched-lattice QCD in general kinematics
  EPJ Web Conf. 274, 02012 (2022) [Crossref]
• Braun et al., Renormalised spectral flows
  SciPost Phys. Core 6, 061 (2023) [Crossref]
• Huber et al., Analytic structure of three-point functions from contour deformations
  Phys. Rev. D 107, 074026 (2023) [Crossref]
• Aguilar et al., Patterns of gauge symmetry in the background field method
  Eur. Phys. J. C 83, 86 (2023) [Crossref]
• Fu, QCD at finite temperature and density within the fRG approach: an overview
  Commun. Theor. Phys. 74, 097304 (2022) [Crossref]
• Aguilar et al., Planar degeneracy of the three-gluon vertex
  Eur. Phys. J. C 83, 549 (2023) [Crossref]
• Huber, Correlation functions of Landau gauge Yang-Mills theory
  Phys. Rev. D 101, 114009 (2020) [Crossref]
• Aguilar et al., Infrared facets of the three-gluon vertex
  Physics Letters B 818, 136352 136352 (2021) [Crossref]
• Braun et al., Fierz-complete NJL model study. III. Emergence from quark-gluon dynamics
  Phys. Rev. D 101, 036004 (2020) [Crossref]
• Maas et al., More on the three-gluon vertex in SU(2) Yang-Mills theory in three and four dimensions
  SciPost Phys. Core 5, 019 (2022) [Crossref]
• Ferreira et al., Hints of confinement and deconfinement in Yang-Mills-Chern-Simons theories in the maximal Abelian gauge
  Phys. Rev. D 101, 105022 (2020) [Crossref]
• Figueroa et al., One-loop unquenched three-gluon and ghost-gluon vertices in the Curci-Ferrari model
  Phys. Rev. D 105, 094005 (2022) [Crossref]
• Pastor-Gutiérrez et al., UV completion of extradimensional Yang-Mills theory for Gauge-Higgs unification
  SciPost Phys. 15, 101 (2023) [Crossref]
• Papavassiliou, Emergence of mass in the gauge sector of QCD*
  Chinese Phys. C 46, 112001 (2022) [Crossref]
• Fu et al., Four-quark scatterings in QCD I
  SciPost Phys. 14, 069 (2023) [Crossref]
• Aguilar et al., Gluon propagator and three-gluon vertex with dynamical quarks
  Eur. Phys. J. C 80, 154 (2020) [Crossref]
• Pawlowski et al., Quantum Gravity: A Fluctuating Point of View
  Front. Phys. 8, 551848 (2021) [Crossref]
• Aguilar et al., Schwinger–Dyson truncations in the all-soft limit: a case study
  Eur. Phys. J. C 82, 1068 (2022) [Crossref]
• Aguilar et al., Exploring smoking-gun signals of the Schwinger mechanism in QCD
  Phys. Rev. D 105, 014030 (2022) [Crossref]
• Ferreira et al., Gauge Sector Dynamics in QCD
  Particles 6, 312 (2023) [Crossref]
• Huber et al., DoFun 3.0: Functional equations in mathematica
  Computer Physics Communications 248, 107058 107058 (2020) [Crossref]
• Gao et al., Fully coupled functional equations for the quark sector of QCD
  Phys. Rev. D 103, 094013 (2021) [Crossref]
• Justo et al., Toward background field independence within the Gribov horizon
  Phys. Rev. D 106, 025015 (2022) [Crossref]
• Grossi et al., Resolving phase transitions with discontinuous Galerkin methods
  SciPost Phys. Core 6, 071 (2023) [Crossref]
• Aguilar et al., Gluon dynamics from an ordinary differential equation
  Eur. Phys. J. C 81, 54 (2021) [Crossref]
• Aguilar et al., Nonperturbative Ball-Chiu construction of the three-gluon vertex
  Phys. Rev. D 99, 094010 (2019) [Crossref]
• Souza et al., Pseudoscalar glueball mass: a window on three-gluon interactions
  Eur. Phys. J. A 56, 25 (2020) [Crossref]
• Vujinović et al., Probing the tensor structure of lattice three-gluon vertex in Landau gauge
  Phys. Rev. D 99, 034501 (2019) [Crossref]
• Aguilar et al., Novel sum rules for the three-point sector of QCD
  Eur. Phys. J. C 80, 887 (2020) [Crossref]
• Pinto-Gómez et al., Lattice three-gluon vertex in extended kinematics: Planar degeneracy
  Physics Letters B 838, 137737 137737 (2023) [Crossref]