Comparison of SO ( 3 ) and SU ( 2 ) Lattice Gauge Theory

  title={Comparison of SO ( 3 ) and SU ( 2 ) Lattice Gauge Theory},
  author={Philippe de Forcrand and Oliver Jahn},
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… CONTINUE READING

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