Modified Lattice Landau Gauge

@inproceedings{Smekal2007ModifiedLL,
  title={Modified Lattice Landau Gauge},
  author={L. Smekal and D. Mehta and A. Sternbeck and Anthony G Williams},
  year={2007}
}
We propose a modified lattice Landau gauge based on stereographically projecting the link variables on the circle S^1 -> R for compact U(1) or the 3-sphere S^3 -> R^3 for SU(2) before imposing the Landau gauge condition. This can reduce the number of Gribov copies exponentially and solves the Gribov problem in compact U(1) where it is a lattice artifact. Applied to the maximal Abelian subgroup this might be just enough to avoid the perfect cancellation amongst the Gribov copies in a lattice… Expand

Figures from this paper

Gauge-fixing on the lattice via orbifolding
When fixing a covariant gauge, most popularly the Landau gauge, on the lattice one encounters the Neuberger 0/0 problem which prevents one from formulating a Becchi--Rouet--Stora--Tyutin symmetry onExpand
Constraining the gauge-fixed Lagrangian in minimal Landau gauge
A continuum formulation of gauge-fixing resolving the Gribov-Singer ambiguity remains a challenge. Finding a Lagrangian formulation of operational resolutions in numerical lattice calculations, likeExpand
Enumerating Gribov copies on the lattice
Abstract In the modern formulation of lattice gauge fixing, the gauge-fixing condition is written in terms of the minima or stationary points (collectively called solutions) of a gauge-fixingExpand
On the sign problem in 2D lattice super Yang-Mills
A bstractIn recent years a new class of supersymmetric lattice theories have been proposed which retain one or more exact supersymmetries for non-zero lattice spacing. Recently there has been someExpand
Phase structure of lattice $\mathcal{N}=4$ super Yang-Mills
A bstractWe make a first study of the phase diagram of four-dimensional $\mathcal{N}=4$ super Yang-Mills theory regulated on a space-time lattice. The lattice formulation we employ is both gaugeExpand
Aspects of confinement in QCD from lattice simulations
We study confinement in quantum chromodynamics via numerical simulations in the framework of lattice gauge theory. In Landau gauge, the mechanism of confinement is related to the infrared behavior ofExpand
Coulomb, Landau and maximally Abelian gauge fixing in lattice QCD with multi-GPUs
TLDR
A lattice gauge theory framework for simulations on graphic processing units (GPUs) using NVIDIA’s CUDA is presented and a mixed-precision scheme that performs the critical parts of the algorithm in full DP while retaining 80%–90% of the SP performance is suggested. Expand
On gauge fixing
Gauge fixing is a useful tool to simplify calculations. It is also valuable to combine different methods, in particular lattice and continuum methods. However, beyond perturbation theory theExpand
Constructing non-perturbative gauges using correlation functions
  • A. Maas
  • Physics, Medicine
  • Physics letters. [Part B]
  • 2010
TLDR
Gauge fixing in the non-perturbative domain of non-Abelian gauge theories is obstructed by the Gribov–Singer ambiguity, so the various results available for correlation functions could possibly correspond to different non- perturbative Landau gauges, discriminated by an additional non-erturbative gauge parameter. Expand
Two-point functions of quenched lattice QCD in Numerical Stochastic Perturbation Theory. (II) The gluon propagator in Landau gauge
Abstract This is the first of a series of two papers on the perturbative computation of the ghost and gluon propagators in SU ( 3 ) Lattice Gauge Theory. Our final aim is to eventually compare withExpand
...
1
2
3
...

References

SHOWING 1-10 OF 17 REFERENCES
Decontracted double BRST symmetry on the lattice
We present the Curci-Ferrari model on the lattice. In the massless case the topological interpretation of this model with its double Becchi-Rouet-Stora-Tyutin (BRST) symmetry relates to the NeubergerExpand
L
  • von Smekal and A. G. Williams, AIP Conf. Proc. 892
  • 2007
L
  • von Smekal, D. B. Leinweber, and A. G. Williams, PoS
  • 2007
PoS
  • PoS
  • 2007
Proc
  • Proc
  • 2007
Int. J. Mod. Phys.
L
  • von Smekal and A. G. Williams, Phys. Lett. B 609
  • 2005
Phys. Lett. B
  • Phys. Lett. B
  • 2005
) 054536, and the references therein
  • ) 054536, and the references therein
  • 2002
Int
  • J. Mod. Phys. A13
  • 1998
...
1
2
...