Faddeev-Popov Matrix in Linear Covariant Gauge: First Results

Abstract

We discuss a possible definition of the Faddeev-Popov matrix for the minimal linear covariant gauge on the lattice and present first results for the ghost propagator. We consider Yang-Mills theory in four space-time dimensions, for SU(2) and SU(3) gauge groups.

arXiv comment5 pages, 2 figures

References in corpus (19)

• The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
• The Chroma Software System for Lattice QCD
• Pinch Technique: Theory and Applications
• The Gribov problem and QCD dynamics
• Gauge bosons at zero and finite temperature
• The Infrared Behaviour of the Pure Yang-Mills Green Functions
• Three-gluon vertex in arbitrary gauge and dimension
• Covariant gauge on the lattice: a new implementation
• The lattice gluon propagator in renormalizable $\xi$ gauges
• Yang-Mills two-point functions in linear covariant gauges
• On gluon and ghost propagators in linear covariant gauges
• Just how different are SU(2) and SU(3) Landau-gauge propagators in the IR regime?
• More on the non-perturbative Gribov-Zwanziger quantization of linear covariant gauges
• Asymptotic behavior of the ghost propagator in SU3 lattice gauge theory
• The gluon propagator in Feynman gauge by the method of stationary variance
• The gluon propagator in linear covariant $R_{\xi }$ gauges
• Non-perturbative treatment of the linear covariant gauges by taking into account the Gribov copies
• Linear Covariant Gauges on the Lattice
• Results on the Gluon Propagator in Lattice Covariant Gauges

Cited by in corpus (9)

• Gauge Sector Dynamics in QCD
• Spectral representation of lattice gluon and ghost propagators at zero temperature
• Yang-Mills propagators in linear covariant gauges from Nielsen identities
• Gauge-invariant Renormalization Scheme in QCD: Application to fermion bilinears and the energy-momentum tensor
• Yang-Mills ghost propagator in linear covariant gauges
• A window on infrared QCD with small expansion parameters
• An all order renormalizable Refined-Gribov-Zwanziger model with BRST invariant fermionic horizon function in linear covariant gauges
• Lattice Computation of the Ghost Propagator in Linear Covariant Gauges
• BRST invariant $d=2$ condensates in Gribov-Zwanziger theory