# 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

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#### References

SHOWING 1-10 OF 17 REFERENCES

Decontracted double BRST symmetry on the lattice

- Physics
- 2008

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 Neuberger… Expand

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

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