Decontracted double BRST on the lattice
arXiv:0807.0480 · doi:10.1103/PhysRevD.78.085016
Abstract
We present the Curci-Ferrari model on the lattice. In the massless case the topological interpretation of this model with its double BRST symmetry relates to the Neuberger 0/0 problem which we extend to include the ghost/anti-ghost symmetric formulation of the non-linear covariant Curci-Ferrari gauges on the lattice. The introduction of a Curci-Ferrari mass term, however, serves to regulate the 0/0 indeterminate form of physical observables observed by Neuberger. While such a mass m decontracts the double BRST/anti-BRST algebra, which is well-known to result in a loss of unitarity, observables can be meaningfully defined in the limit m to 0 via l'Hospital's rule. At finite m the topological nature of the partition function used as the gauge fixing device seems lost. We discuss the gauge parameter xi and mass m dependence of the model and show how both cancel when m = m(xi) is appropriately adjusted with xi.
18 pages, no figures
References in corpus (27)
- The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
- Historical roots of gauge invariance
- The Infrared Behavior of Gluon and Ghost Propagators in Landau Gauge QCD
- Constraints on the IR behavior of the gluon propagator in Yang-Mills theories
- On the Infrared Exponent for Gluon and Ghost Propagation in Landau Gauge QCD
- A Solution to Coupled Dyson-Schwinger Equations for Gluons and Ghosts in Landau Gauge
- Non-perturbative Landau gauge and infrared critical exponents in QCD
- Infrared behaviour and fixed points in Landau gauge QCD
- New features of the gluon and ghost propagator in the infrared region from the Gribov-Zwanziger approach
- Vacuum condensate of mass dimension 2 as the origin of mass gap and quark confinement
- Non-perturbative Faddeev-Popov formula and infrared limit of QCD
- The Gribov parameter and the dimension two gluon condensate in Euclidean Yang-Mills theories in the Landau gauge
- Propagators and running coupling from SU(2) lattice gauge theory
- Gluon Propagator in the Infrared Region
- Landau gauge within the Gribov horizon
- Three loop MSbar renormalization of the Curci-Ferrari model and the dimension two BRST invariant composite operator in QCD
- On the renormalizability and unitarity of the Curci-Ferrari model for massive vector bosons
- Large volume behaviour of Yang-Mills propagators
- On the infrared behaviour of Gluons and Ghosts in Ghost-Antighost symmetric gauges
- Some non-renormalization theorems in Curci-Ferrari model
- Lattice gauge-fixing for generic covariant gauges
- Equivariant Gauge Fixing of SU(2) Lattice Gauge Theory
- The Curci-Ferrari model with massive quarks at two loops
- Lattice Gauge Fixing for Parameter Dependent Covariant Gauges
- Curci-Ferrari mass and the Neuberger problem
- Gauge Group TQFT and Improved Perturbative Yang-Mills Theory
- Extended Double Lattice BRST, Curci-Ferrari Mass and the Neuberger Problem
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- On the infrared behavior of Landau gauge Yang-Mills theory
- SU(2) lattice gluon propagator: continuum limit, finite-volume effects and infrared mass scale m_IR
- More on Gribov copies and propagators in Landau-gauge Yang-Mills theory
- How nonperturbative is the infrared regime of Landau gauge Yang-Mills correlators?
- Infrared behavior and Gribov ambiguity in SU(2) lattice gauge theory
- The Gribov horizon and spontaneous BRST symmetry breaking
- Covariant gauges without Gribov ambiguities in Yang-Mills theories
- Yang-Mills correlators at finite temperature: A perturbative perspective
- Enumerating Gribov copies on the lattice
- Strong-coupling study of the Gribov ambiguity in lattice Landau gauge
- BRST-Symmetry Breaking and Bose-Ghost Propagator in Lattice Minimal Landau Gauge
- BRST and Anti-BRST Symmetries in Perturbative Quantum Gravity
- The ghost-antighost-gluon vertex from the Curci-Ferrari model: Two-loop corrections
- Infrared exponents and the strong-coupling limit in lattice Landau gauge
- (Non-)Aligned gauges and global gauge symmetry breaking
- Gauged supersymmetries in Yang-Mills theory
- On the reanimation of a local BRST invariance in the (Refined) Gribov-Zwanziger formalism
- Radiative improvement of the lattice NRQCD action using the background field method with applications to quarkonium spectroscopy
- 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
- Lattice Landau gauge with stochastic quantisation
- 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
- Non-perturbative BRST quantization of Euclidean Yang-Mills theories in Curci-Ferrari gauges
- Spontaneous breaking of the BRST symmetry in presence of the Gribov horizon: renormalizability
- Perturbative aspects of the deconfinement transition -- Physics beyond the Faddeev-Popov model
- Low momentum propagators at two loops in gluon mass model
- Gauge-fixing on the Lattice via Orbifolding
- A window on infrared QCD with small expansion parameters
- Gauge engineering and propagators
- Numerical Evaluation of the Bose-Ghost Propagator in Minimal Landau Gauge on the Lattice
- Reconstructing propagators of confined particles in the presence of complex singularities