On projection (in)dependence of monopole condensate in lattice SU(2) gauge theory
V. A. Belavin, M. N. Chernodub, M. I. Polikarpov
ITEP, 117259 Moscow, Russia
PACS: 12.38.Gc, 12.38.Aw, 14.80.Hv
Abstract
We study the temperature dependence of the monopole
condensate in different Abelian projections of the SU(2) lattice
gauge theory in thermodynamic limit. Using the
Fröhlich-Marchetti monopole creation operator we show
numerically that the monopole condensate depends strongly on the
choice of the Abelian projection. Contrary to the claims in the
literature we observe that in the Abelian Polyakov gauge and in
the field strength gauge the monopole condensate does not vanish
at the critical temperature in large-volume limit. Therefore the
monopole condensate in these gauges is not an order parameter of
the confinement-deconfinement phase transition.