DOI 10.1007/s100529901078
Background configurations, confinement and deconfinement on a lattice with BPS monopole boundary conditions
E.-M. Ilgenfritz1 - S.V. Molodtsov2 - M. Müller-Preussker3 - A.I. Veselov2
1 Institute for Theoretical Physics,
University of Kanazawa, Japan
2 Institute of Theoretical and Experimental
Physics, Moscow, Russia
3 Institut für Physik,
Humboldt-Universität zu Berlin, Germany
Received: 11 October 1998 / Published online: 11 February 1999
Abstract
Finite temperature SU(2) lattice gauge theory is investigated
in a three-dimensional cubic box with fixed boundary
conditions provided by a discretized, static
Bogomol'nyi-Prasad-Sommerfield (BPS) monopole
solution with varying core scale 
. Using heating and
cooling techniques, we establish that for discrete -values
stable classical solutions either of self-dual or of pure
magnetic type exist inside the box. Having switched on quantum
fluctuations we compute the Polyakov line and other local
operators. For different and at varying temperatures
near the deconfinement transition we study the influence of the
boundary condition on the vacuum inside the box. In contrast to
the pure magnetic background field case, for the self-dual one
we observe confinement even for temperatures quite far above the
critical one.
Copyright Springer-Verlag
