• Corpus ID: 118130316

On gauge fixing

@article{Maas2010OnGF,
  title={On gauge fixing},
  author={Axel Maas},
  journal={arXiv: High Energy Physics - Lattice},
  year={2010}
}
  • A. Maas
  • Published 1 October 2010
  • Physics
  • arXiv: High Energy Physics - Lattice
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 the Gribov-Singer ambiguity requires further gauge conditions for a well-defined gauge-fixing prescription. Different additional conditions can, in principle, lead to different results for gauge-dependent correlation functions, as will be discussed for the example of Landau gauge. Also the relation of lattice… 
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48 Citations
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References

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  • A. Maas
  • Physics
    Physics letters. [Part B]
  • 2010
More on Gribov copies and propagators in Landau-gauge Yang-Mills theory
Fixing a gauge in the nonperturbative domain of Yang-Mills theory is a nontrivial problem due to the presence of Gribov copies. In particular, there are different gauges in the nonperturbative regime…
Landau Gauge QCD: Functional Methods versus Lattice Simulations
The infrared behaviour of QCD Green's functions in Landau gauge has been focus of intense study. Different non-perturbative approaches lead to a prediction in line with the conditions for confinement…
Modified Lattice Landau Gauge
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…
On the IR behaviour of the Landau-gauge ghost propagator
We examine analytically the ghost propagator Dyson-Schwinger Equation (DSE) in the deep IR regime and prove that a finite ghost dressing function at vanishing momentum is an alternative solution…
Hamiltonian approach to 1 + 1 dimensional Yang–Mills theory in Coulomb gauge
Coulomb gauge ghost Dyson-Schwinger equation
A numerical study of the ghost Dyson-Schwinger equation in Coulomb gauge is performed and solutions for the ghost propagator found. As input, lattice results for the spatial gluon propagator are…
Two- and three-point Green's functions in two-dimensional Landau-gauge Yang-Mills theory
The ghost and gluon propagator and the ghost-gluon and three-gluon vertex of two-dimensional SU(2) Yang-Mills theory in (minimal) Landau gauge are studied using lattice gauge theory. It is found that…
Lattice Landau gauge via Stereographic Projection
Centre for the Subatomic Structure of Matter, School of Chemistry and Physics,The University of Adelaide, SA 5005, AustraliaE-mail:…
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