Lattice Landau gauge with stochastic quantisation

Details Lattice Landau gauge with stochastic quantisation Lattice Landau gauge with stochastic quantisation

2009-11-25

arxiv.org/abs/0911.4921v1

Nucl. Phys. B 830 (2010) 291-314

Physics

High Energy Physics

High Energy Physics - Lattice

14 pages, 15 figures

Scientific paper

10.1016/j.nuclphysb.2009.12.036

We calculate Landau gauge ghost and gluon propagators in pure SU(2) lattice gauge theory in two, three and four dimensions. The gauge fixing method we use, sc. stochastic quantisation, serves as a viable alternative approach to standard gauge fixing algorithms. We also investigate the spectrum of the Faddeev-Popov operator. At insufficiently accurate gauge fixing, we find evidence that stochastic quantisation samples configurations close to the Gribov horizon. Standard gauge fixing does so only at specific parameters; otherwise, there is a clear difference. However, this difference disappears if the gauge is fixed to sufficient accuracy. In this case, we confirm previous lattice results for the gluon and ghost propagator in two, three and four dimensions.

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