Phase Transitions in SO(3) Lattice Gauge Theory

Abstract

The phase diagram of SO(3) lattice gauge theory is investigated by Monte Carlo techniques on both symmetric and asymmetric lattices with a view (i) to understanding the relationship between the bulk transition and the deconfinement transition, and (ii) to resolving the current ambiguity about the nature of the high temperature phase. A number of tests, including an introduction of a magnetic field and measurement of different correlation functions in the phases with positive and negative values for the adjoint Polyakov line, lead to the conclusion that the two phases correspond to the same physical state. Studies on lattices of different sizes reveal only one phase transition for this theory on all of them and it appears to have a deconfining nature.

Latex 19 pages, 9 figures. Minor changes in introduction and summary sections. The version that appeared in journal

References in corpus (3)

• Scaling and Asymptotic Scaling in the SU(2) Gauge Theory
• The Gluon Propagator at High Temperature
• Finite Temperature Phase Transition in SU(2) Lattice Gauge Theory with Extended Action

Cited by in corpus (14)

• Exceptional Deconfinement in G(2) Gauge Theory
• Exceptional Confinement in G(2) Gauge Theory
• The Deconfinement Phase Transition of Sp(2) and Sp(3) Yang-Mills Theories in 2+1 and 3+1 Dimensions
• Comparison of SO(3) and SU(2) lattice gauge theory
• Confinement and the center of the gauge group
• The Deconfinement Transition in SO(3) Gauge Theory
• Modified SO(3) Lattice Gauge Theory at non zero T with Parallel Tempering: Monopole and Vortex Condensation
• Universality, vortices and confinement: modified SO(3) lattice gauge theory at non-zero temperature
• A finite temperature investigation of dual superconductivity in the modified SO(3) lattice gauge theory
• Dynamical Restoration of Z_N Symmetry in SU(N)+Higgs Theories
• Z_2 Monopoles, Vortices and the Universality of the SU(2) Deconfinement Transition
• Z2 Monopoles, Vortices, and the Deconfinement Transition in Mixed Action SU(2) Gauge Theory
• Fixed twist dynamics of SO(3) gauge theory
• Vortex free energies in SO(3) and SU(2) lattice gauge theory