BRST-Symmetry Breaking and Bose-Ghost Propagator in Lattice Minimal Landau Gauge
arXiv:1405.1547 · doi:10.1103/PhysRevD.90.051501
Abstract
The Bose-ghost propagator has been proposed as a carrier of the confining force in Yang-Mills theories in minimal Landau gauge. We present the first numerical evaluation of this propagator, using lattice simulations for the SU(2) gauge group in the scaling region. Our data are well described by a simple fitting function, which is compatible with an infrared-enhanced Bose-ghost propagator. This function can also be related to a massive gluon propagator in combination with an infrared-free (Faddeev-Popov) ghost propagator. Since the Bose-ghost propagator can be written as the vacuum expectation value of a BRST-exact quantity and should therefore vanish in a BRST-invariant theory, our results provide the first numerical manifestation of BRST-symmetry breaking due to restriction of gauge-configuration space to the Gribov region.
4 pages, 2 figures, 1 table
References in corpus (10)
- A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
- Gluon and ghost propagators in the Landau gauge: Deriving lattice results from Schwinger-Dyson equations
- 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
- 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
- The infrared behavior of Landau gauge Yang-Mills theory in d=2, 3 and 4 dimensions
- Decontracted double BRST on the lattice
- (Non-)Aligned gauges and global gauge symmetry breaking
- Loop calculations in the three dimensional Gribov-Zwanziger Lagrangian
Cited by in corpus (18)
- Deconfinement transition in SU(2) Yang-Mills theory: A two-loop study
- 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
- The Higgs phase as a spin glass, and the transition between varieties of confinement
- On bounds and boundary conditions in the continuum Landau gauge
- Remarks on the effects of the Gribov copies on the infrared behavior of higher dimensional Yang-Mills theory
- Towards background field independence within the Gribov horizon
- Refined Gribov-Zwanziger theory coupled to scalar fields in the Landau gauge
- Exploring new horizons of the Gribov problem in Yang-Mills theories
- Low momentum propagators at two loops in gluon mass model
- Study of the all orders multiplicative renormalizability of a local confining quark action in the Landau gauge
- Hints of (de)confinement in Yang-Mills-Chern-Simons theories in the maximal Abelian gauge
- Infrared propagators of Yang-Mills-Chern-Simons theories in linear covariant gauges
- Gauge copies and the fate of background independence in Yang-Mills theories: a leading order analysis
- Predicting Planck scale and Newtonian constant from a Yang-Mills gauge theory: 1 and 2-loops estimates
- Confinement interpretation in a Yang-Mills + Higgs theory when considering Gribov's ambiguity
- On the consistency of Lorentz-Violating Yang-Mills theories: Gauge invariance and non-perturbative effects
- Gribov horizon, Polyakov loop and finite temperature