Maths HEP Lunchtime Seminars: Landau gauge and the Gribov problem
13 March 2009 13:00 in CM221
The talk concentrates on the formulation of the Gribov problem in the Landau gauge. The first part reviews the main points of trying to uniquely fix a gauge in a non-abelian gauge theory using Yang-Mills as the main example. In light of this, recent developments in understanding the Gribov-Zwanziger and Kugo-Ojima confinement criteria are discussed in the context of the Gribov-Zwanziger Lagrangian. This is a localized version of the original non-local formulation by Gribov and is a renormalizable theory allowing one to perform loop calculations. As examples, the two loop correction to the Gribov gap equation and its implications for the behaviour of gluon and Faddeev-Popov ghost propagators in the infrared regime are discussed. Finally, reference is made to the current picture of the behaviour of these propagators, in the Gribov-Zwanziger context, which have recently been computed by various groups using lattice and Schwinger-Dyson methods.