Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2002-11-04
Nucl.Phys. B651 (2003) 125-142
Physics
High Energy Physics
High Energy Physics - Lattice
20 pages, 6 figures, 1 table; published version (minor changes, reference added)
Scientific paper
10.1016/S0550-3213(02)01123-9
The Villain form of SO(3) lattice gauge theory is studied and compared to Wilson's SU(2) theory. The topological invariants in SO(3) which correspond to twisted boundary conditions in SU(2) are discussed and lattice observables are introduced for them. An apparent SO(3) phase with negative adjoint Polyakov loop is explained in terms of these observables. The electric twist free energy, an order parameter for the confinement-deconfinement transition, is measured in both theories to calibrate the temperature. The results indicate that lattices with about 700^4 sites or larger will be needed to study the SO(3) confined phase. Alternative actions are discussed and an analytic path connecting SO(3) and SU(2) lattice gauge theory at weak coupling is exhibited. The relevance for confinement of the centre of the gauge group is discussed.
Forcrand Philippe de
Jahn Oliver
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