Comparison of SO(3) and SU(2) lattice gauge theory
arXiv:hep-lat/0211004 · doi:10.1016/S0550-3213(02)01123-9
Abstract
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.
20 pages, 6 figures, 1 table; published version (minor changes, reference added)
References in corpus (2)
Cited by in corpus (31)
- Physics of Strongly coupled Quark-Gluon Plasma
- Exceptional Confinement in G(2) Gauge Theory
- Effective matrix model for deconfinement in pure gauge theories
- The Deconfinement Phase Transition of Sp(2) and Sp(3) Yang-Mills Theories in 2+1 and 3+1 Dimensions
- Brout-Englert-Higgs physics: From foundations to phenomenology
- Progress in four-dimensional lattice supersymmetry
- Casimir Scaling and String Breaking in G(2) Gluodynamics
- Conformality in many-flavour lattice QCD at strong coupling
- Exceptional thermodynamics: The equation of state of G(2) gauge theory
- Generation of confinement and other nonperturbative effects by infrared gluonic degrees of freedom
- Orthogonal Technicolor with Isotriplet Dark Matter on the Lattice
- Fractional instanton of the SU() gauge theory in weak coupling regime
- Global Aspects of Abelian and Center Projections in SU(2) Gauge Theory
- SO(N) gauge theories in 2+1 dimensions: glueball spectra and confinement
- Confinement and the center of the gauge group
- Topology and dependence in finite temperature lattice gauge theory
- The deconfinement phase transition in Yang-Mills theory with general Lie group G
- Vortices, Symmetry Breaking, and Temporary Confinement in SU(2) Gauge-Higgs Theory
- About a possible 3rd order phase transition at T=0 in 4D gluodynamics
- Modified SO(3) Lattice Gauge Theory at non zero T with Parallel Tempering: Monopole and Vortex Condensation
- SO(2N) and SU(N) gauge theories in 2+1 dimensions
- 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
- Lattice Wess-Zumino model with Ginsparg-Wilson fermions: One-loop results and GPU benchmarks
- Vortex free energy and deconfinement in center-blind discretizations of Yang-Mills theories
- Hedgehogs in Wilson loops and phase transition in SU(2) Yang-Mills theory
- Confinement, Screening and the Center on S^3 x S^1
- Fixed twist dynamics of SO(3) gauge theory
- Review of Neutral Naturalness
- Topological order and the vacuum of Yang-Mills theories
- An additional symmetry in the Weinberg - Salam model