Constructing non-perturbative gauges using correlation functions

Abstract

Gauge fixing in the non-perturbative domain of non-Abelian gauge theories is obstructed by the Gribov-Singer ambiguity. To compare results from different methods it is necessary to resolve this ambiguity explicitly. Such a resolution is proposed using conditions on correlation functions for a family of non-perturbative Landau gauges. As a consequence, the various results available for correlation functions could possibly correspond to different non-perturbative Landau gauges, discriminated by an additional non-perturbative gauge parameter. The proposal, the necessary assumptions, and evidence from lattice gauge theory calculations, are presented in detail.

in v2: Various modifications, discussion of results and scenario extended, references added in v3: Discussed definitions of what a Gribov ambiguity, a resolution of the ambiguity, and a Gribov problem is. Various minor improvements

References in corpus (12)

• A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
• Constraints on the IR behavior of the gluon propagator in Yang-Mills theories
• Constraints on the IR behavior of the ghost propagator in Yang-Mills theories
• Scaling behavior and positivity violation of the gluon propagator in full QCD
• Three-point vertices in Landau-gauge Yang-Mills theory
• Exploratory study of three-point Green's functions in Landau-gauge Yang-Mills theory
• Two- and three-point Green's functions in two-dimensional Landau-gauge Yang-Mills theory
• Infrared behaviour of the ghost-gluon vertex in Landau gauge Yang-Mills theory
• More on Gribov copies and propagators in Landau-gauge Yang-Mills theory
• Large volume behaviour of Yang-Mills propagators
• Hamiltonian Approach to 1+1 dimensional Yang-Mills theory in Coulomb gauge
• Landau Gauge QCD: Functional Methods versus Lattice Simulations

Cited by in corpus (66)

• QCD and strongly coupled gauge theories: challenges and perspectives
• QCD at finite temperature and chemical potential from Dyson-Schwinger equations
• Landau gauge Yang-Mills correlation functions
• Non-perturbative quark, gluon and meson correlators of unquenched QCD
• Gauge bosons at zero and finite temperature
• The Infrared Behaviour of the Pure Yang-Mills Green Functions
• Analytic structure of the Landau gauge gluon propagator
• Lifting the Gribov ambiguity in Yang-Mills theories
• Reconstructing the gluon
• On the Nature of the Phase Transition in SU(N), Sp(2) and E(7) Yang-Mills theory
• On the influence of three-point functions on the propagators of Landau gauge Yang-Mills theory
• Correlation functions of Landau gauge Yang-Mills theory
• Non-perturbative finite-temperature Yang-Mills theory
• Lattice evidence for the family of decoupling solutions of Landau gauge Yang-Mills theory
• How nonperturbative is the infrared regime of Landau gauge Yang-Mills correlators?
• An all-order proof of the equivalence between Gribov's no-pole and Zwanziger's horizon conditions
• Correlation functions of three-dimensional Yang-Mills theory from Dyson-Schwinger equations
• The low-momentum ghost dressing function and the gluon mass
• The Coulomb gauge ghost Dyson-Schwinger equation
• Spectrum of scalar and pseudoscalar glueballs from functional methods
• Enumerating Gribov copies on the lattice
• Are the Dressed Gluon and Ghost Propagators in the Landau Gauge presently determined in the confinement regime of QCD?
• Accessing directly the properties of fundamental scalars in the confinement and Higgs phase
• Rho-meson, Bethe-Salpeter equation, and the far infrared
• Variational approach to Yang-Mills theory at finite temperatures
• On the infrared scaling solution of SU(N) Yang-Mills theories in the maximally Abelian gauge
• Higher spin glueballs from functional methods
• Gluon condensation and scaling exponents for the propagators in Yang-Mills theory
• Features of ghost-gluon and ghost-quark bound states related to BRST quartets
• On the computation of the spectral density of two-point functions: complex masses, cut rules and beyond
• The No-Pole Condition in Landau gauge: Properties of the Gribov Ghost Form-Factor and a Constraint on the 2d Gluon Propagator
• SU(3) Landau gauge gluon and ghost propagators using the logarithmic lattice gluon field definition
• Yang-Mills propagators in linear covariant gauges from Nielsen identities
• Techniques of evaluation of QCD low-energy physical quantities with running coupling with infrared fixed point
• Two infrared Yang-Mills solutions in stochastic quantization and in an effective action formalism
• On the gauge-algebra dependence of Landau-gauge Yang-Mills propagators
• Ghost sector and geometry in minimal Landau gauge: further constraining the infinite-volume limit
• On the reanimation of a local BRST invariance in the (Refined) Gribov-Zwanziger formalism
• Dependence of the propagators on the sampling of Gribov copies inside the first Gribov region of Landau gauge
• On bounds and boundary conditions in the continuum Landau gauge
• Constraining the gauge-fixed Lagrangian in minimal Landau gauge
• More on the properties of the first Gribov region in Landau gauge
• Enumerating Copies in the First Gribov Region on the Lattice in up to four Dimensions
• The Gribov horizon and the one-loop color-Coulomb potential
• Gribov horizon and Gribov copies effect in lattice Coulomb gauge
• On the gauge boson's properties in a candidate technicolor theory
• Solving the Ghost-Gluon System of Yang-Mills Theory on GPUs
• An exploratory study of Yang-Mills three-point functions at non-zero temperature
• Aspects of the Gribov-Zwanziger framework
• Origin of Confining Force
• Decoupling and scaling solutions in Yang-Mills theory with the Gribov horizon
• QCD propagators and vertices from lattice QCD (in memory of Michael Müller-Preußker)
• Infrared scaling solutions beyond the Landau gauge: The maximally Abelian gauge and Abelian infrared dominance
• Schwinger-Dyson Equations in Coulomb Gauge Consistent with Numerical Simulation
• Natural solution in the refined Gribov-Zwanziger theory
• Numerical test of the Gribov-Zwanziger scenario in Landau gauge
• Gauge-fixing on the Lattice via Orbifolding
• Describing gluons at zero and finite temperature
• A window on infrared QCD with small expansion parameters
• Gauge engineering and propagators
• On the infrared behaviour of QCD Green functions in the Maximally Abelian gauge
• Dyson-Schwinger equations and $\mathcal{N}=4$ SYM in Landau gauge
• Quenched glueball spectrum from functional equations
• Quantum fields in the non-perturbative regime - Yang-Mills theory and gravity
• Non-perturbative BRST symmetry and the spectral structure of the ghost propagator
• NSPT study of the three-loop lattice gluon propagator in Landau gauge