Hints of (de)confinement in Yang-Mills-Chern-Simons theories in the maximal Abelian gauge
arXiv:2004.06990 · doi:10.1103/PhysRevD.101.105022
Abstract
The study of Yang-Mills theories in three dimensions is an insightful playground to grasp important features for the four-dimensional case. Additionally, in three dimensions, the Chern-Simons term can be introduced with a mass parameter of topological nature. Quantizing such a theory in the continuum demands a gauge fixing which, in general, is plagued by Gribov copies. In this work, Yang-Mills-Chern-Simons theories are quantized in the maximal Abelian gauge and the existence of infinitesimal Gribov copies is taken into account. The elimination of copies modifies the (Abelian) gluon propagator leading to two different phases: one in which all poles are complex and thus interpreted as a confining phase and another where an excitation which can be part of the physical spectrum is present.
12 pages, 5 figures
References in corpus (23)
- A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
- 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
- New features of the gluon and ghost propagator in the infrared region from the Gribov-Zwanziger approach
- Infrared propagators of Yang-Mills theory from perturbation theory
- Gribov no-pole condition, Zwanziger horizon function, Kugo-Ojima confinement criterion, boundary conditions, BRST breaking and all that
- More on Gribov copies and propagators in Landau-gauge Yang-Mills theory
- Soft breaking of BRST invariance for introducing non-perturbative infrared effects in a local and renormalizable way
- The Landau gauge gluon and ghost propagator in the refined Gribov-Zwanziger framework in 3 dimensions
- Gribov horizon and BRST symmetry: a few remarks
- An all-order proof of the equivalence between Gribov's no-pole and Zwanziger's horizon conditions
- A remark on the BRST symmetry in the Gribov-Zwanziger theory
- Properties of the Faddeev-Popov operator in the Landau gauge, matter confinement and soft BRST breaking
- 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
- BRST-Symmetry Breaking and Bose-Ghost Propagator in Lattice Minimal Landau Gauge
- 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
- Study of the Gribov region in Euclidean Yang-Mills theories in the maximal Abelian gauge
- On bounds and boundary conditions in the continuum Landau gauge
- Dimension two condensates in the Gribov-Zwanziger theory in the Coulomb gauge
- 3D Yang-Mills confining properties from a non-Abelian ensemble perspective
- Yang-Mills theory in the maximal Abelian gauge in presence of scalar matter fields