# On gauge fixing

@article{Maas2010OnGF, title={On gauge fixing}, author={Axel Maas}, journal={arXiv: High Energy Physics - Lattice}, year={2010} }

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…

## 48 Citations

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## References

SHOWING 1-10 OF 24 REFERENCES

Constructing non-perturbative gauges using correlation functions

- PhysicsPhysics letters. [Part B]
- 2010

More on Gribov copies and propagators in Landau-gauge Yang-Mills theory

- Physics
- 2009

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

- Physics
- 2008

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

- Physics
- 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…

On the IR behaviour of the Landau-gauge ghost propagator

- Physics
- 2008

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…

Coulomb gauge ghost Dyson-Schwinger equation

- Physics
- 2010

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

- Physics
- 2007

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

- Physics
- 2008

Centre for the Subatomic Structure of Matter, School of Chemistry and Physics,The University of Adelaide, SA 5005, AustraliaE-mail:…

Gauge Theories of the Strong and Electroweak Interaction

- Physics
- 2001

Basic concepts: The fundamental constituents of matter and their interactions - Elements of relativistic quantum mechanics - The quark model of the hadrons - Phenomenology of the electroweak…