Gauge copies and the fate of background independence in Yang-Mills theories: a leading order analysis
arXiv:2008.09031 · doi:10.1103/PhysRevD.102.074029
Abstract
In this work we investigate the effects of the Gribov prescription to get rid of zero-modes of the Faddeev-Popov operator, at one-loop order in perturbation theory, in the Landau-DeWitt gauge. Quantum fluctuations are taken around a transverse background gauge field. The one-loop effective action is explicitly computed, and the behavior of the gauge and ghost fields propagators are carefully investigated. At one-loop and for generic transverse background configurations the effective action is found to be \textit{not} background invariant, as expected, due to a non-vanishing background contribution. The gauge field propagator has the same form as in the case {where the} background is a trivial field, with complex conjugate poles, which are modified by the corresponding gap equation. The ghost-anti-ghost propagator still displays its enhanced behavior.
arXiv comment16 pages, 1 figure
References in corpus (63)
- The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
- A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
- QCD and strongly coupled gauge theories: challenges and perspectives
- Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations
- Infrared Properties of QCD from Dyson-Schwinger equations
- Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared
- Constraints on the IR behavior of the gluon propagator in Yang-Mills theories
- Pinch Technique: Theory and Applications
- Quark Confinement from Color Confinement
- Landau gauge Yang-Mills correlation functions
- The Gribov problem and QCD dynamics
- New features of the gluon and ghost propagator in the infrared region from the Gribov-Zwanziger approach
- Gauge bosons at zero and finite temperature
- Infrared propagators of Yang-Mills theory from perturbation theory
- The dynamical origin of the refinement of the Gribov-Zwanziger theory
- Lifting the Gribov ambiguity in Yang-Mills theories
- An exact nilpotent non-perturbative BRST symmetry for the Gribov-Zwanziger action in the linear covariant gauge
- On the Nature of the Phase Transition in SU(N), Sp(2) and E(7) Yang-Mills theory
- Deconfinement transition in SU(N) theories from perturbation theory
- Gribov no-pole condition, Zwanziger horizon function, Kugo-Ojima confinement criterion, boundary conditions, BRST breaking and all that
- Infrared singularities in Landau gauge Yang-Mills theory
- Soft breaking of BRST invariance for introducing non-perturbative infrared effects in a local and renormalizable way
- Gribov horizon and BRST symmetry: a few remarks
- A local and BRST-invariant Yang-Mills theory within the Gribov horizon
- How nonperturbative is the infrared regime of Landau gauge Yang-Mills correlators?
- Interplay between the holographic QCD phase diagram and entanglement entropy
- Deconfinement transition in SU(2) Yang-Mills theory: A two-loop study
- Gribov horizon beyond the Landau gauge
- The Gribov horizon and spontaneous BRST symmetry breaking
- More on the non-perturbative Gribov-Zwanziger quantization of linear covariant gauges
- An all-order proof of the equivalence between Gribov's no-pole and Zwanziger's horizon conditions
- Non-perturbative aspects of Euclidean Yang-Mills theories in linear covariant gauges: Nielsen identities and a BRST invariant two-point correlation function
- A remark on the BRST symmetry in the Gribov-Zwanziger theory
- The gluon and ghost propagators in Euclidean Yang-Mills theory in the maximal Abelian gauge: taking into account the effects of the Gribov copies and of the dimension two condensates
- Properties of the Faddeev-Popov operator in the Landau gauge, matter confinement and soft BRST breaking
- Renormalizability of the Refined Gribov-Zwanziger action in the linear covariant gauges
- BRST-Symmetry Breaking and Bose-Ghost Propagator in Lattice Minimal Landau Gauge
- BRST Cohomology and Physical Space of the GZ Model
- The influence of the Gribov copies on the gluon and ghost propagators in Euclidean Yang-Mills theory in the maximal Abelian gauge
- On the elimination of infinitesimal Gribov ambiguities in non-Abelian gauge theories
- A study of the maximal Abelian gauge in SU(2) Euclidean Yang-Mills theory in the presence of the Gribov horizon
- Study of the properties of the Gribov region in SU(N) Euclidean Yang-Mills theories in the maximal Abelian gauge
- AntiBRST symmetry and Background Field Method
- Influence of Gribov ambiguities in a class of nonlinear covariant gauges
- Study of the Gribov region in Euclidean Yang-Mills theories in the maximal Abelian gauge
- The ghost-gluon vertex in the presence of the Gribov horizon
- Modeling the Landau-Gauge Ghost Propagator in 2, 3 and 4 Space-Time Dimensions
- Infrared Gluon and Ghost Propagator Exponents From Lattice QCD
- The universal character of Zwanziger's horizon function in Euclidean Yang-Mills theories
- Gribov horizon and non-perturbative BRST symmetry in the maximal Abelian gauge
- 4d ensembles of percolating center vortices and monopole defects: the emergence of flux tubes with N-ality and gluon confinement
- Gribov ambiguities at the Landau -- maximal Abelian interpolating gauge
- On bounds and boundary conditions in the continuum Landau gauge
- A non-perturbative study of matter field propagators in Euclidean Yang-Mills theory in linear covariant, Curci-Ferrari and maximal Abelian gauges
- Finite Field-Dependent BRST-antiBRST Transformations: Jacobians and Application to the Standard Model
- Infrared massive gluon propagator from a BRST-invariant Gribov horizon in a family of covariant gauges
- A Gribov-Zwanziger type action invariant under background gauge transformations
- Non-perturbative BRST quantization of Euclidean Yang-Mills theories in Curci-Ferrari gauges
- Gauge copies in the Landau-DeWitt gauge: a background invariant restriction
- Power corrections to symmetric point vertices in Gribov-Zwanziger theory
- The Gribov problem in presence of background field for Yang-Mills theory
- A study of the zero modes of the Faddeev-Popov operator in Euclidean Yang-Mills theories in the Landau gauge in d=2,3,4 dimensions
- Exploring new horizons of the Gribov problem in Yang-Mills theories