The ghost-gluon vertex in the presence of the Gribov horizon

Abstract

We consider Yang-Mills theories quantized in the Landau gauge in the presence of the Gribov horizon via the refined Gribov Zwanziger (RGZ) framework. As the restriction of the gauge path integral to the Gribov region is taken into account, the resulting gauge field propagators display a nontrivial infrared behavior, being very close to the ones observed in lattice gauge field theory simulations. In this work, we explore a higher correlation function in the Refined Gribov-Zwanziger theory: the ghost-gluon interaction vertex, at one-loop level. We show explicit compatibility with kinematical constraints, as required by the Ward identities of the theory, and obtain analytical expressions in the limit of vanishing gluon momentum. We find that the RGZ results are nontrivial in the infrared regime, being compatible with lattice YM simulations in both SU(2) and SU(3), as well as with solutions from Schwinger-Dyson equations in different truncation schemes, Functional Renormalization Group analysis, and the RG-improved Curci-Ferrari model.

17 pages, 5 figures

References in corpus (9)

• The Phase Structure of the Polyakov--Quark-Meson Model
• A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
• New features of the gluon and ghost propagator in the infrared region from the Gribov-Zwanziger approach
• Indirect lattice evidence for the Refined Gribov-Zwanziger formalism and the gluon condensate $⟨A^2⟩$ in the Landau gauge
• Three-point vertices in Landau-gauge Yang-Mills theory
• Non-perturbative aspects of Euclidean Yang-Mills theories in linear covariant gauges: Nielsen identities and a BRST invariant two-point correlation function
• Alternative refined Gribov-Zwanziger Lagrangian
• Renormalizability of the Refined Gribov-Zwanziger action in the linear covariant gauges
• A local and renormalizable framework for the gauge-invariant operator $A_{\min }^2$ in Euclidean Yang-Mills theories in linear covariant gauges

Cited by in corpus (16)

• Gauge Sector Dynamics in QCD
• QCD Running Couplings and Effective Charges
• Landau gauge Yang-Mills propagators in the complex momentum plane
• Nonperturbative structure of the ghost-gluon kernel
• Ghost dynamics in the soft gluon limit
• The BRST-invariant vacuum state of the Gribov-Zwanziger theory
• Novel sum rules for the three-point sector of QCD
• Gluon mass scale through the Schwinger mechanism
• More on the three-gluon vertex in SU(2) Yang-Mills theory in three and four dimensions
• Four-gluon vertex from the Curci-Ferrari model at one-loop order
• Ghost-gluon vertex in the presence of the Gribov horizon: General kinematics
• The gap equations of background field invariant Refined Gribov-Zwanziger action proposals and the deconfinement transition
• Gauge copies and the fate of background independence in Yang-Mills theories: a leading order analysis
• Spinning Pairs: Supporting ${}^3{P}_0$ Quark-Pair Creation from Landau Gauge Green's Functions
• Ghost dynamics from Schwinger-Dyson equations
• On the consistency of Lorentz-Violating Yang-Mills theories: Gauge invariance and non-perturbative effects