Magnetic Z(N) symmetry in hot QCD and the spatial Wilson loop

Abstract

We discuss the relation between the deconfining phase transition in gauge theories and the realization of the magnetic Z(N) symmetry. At low temperature the Z(N) symmetry is spontaneously broken while above the phase transition it is restored. This is intimately related to the change of behaviour of the spatial 't Hooft loop discussed in hep-ph/9909516. We also point out that the realization of the magnetic symmetry has bearing on the behaviour of the spatial Wilson loop. We give a physical argument to the effect that at zero temperature the spatial Wilson loop must have perimeter law behaviour in the symmetric phase but area law behaviour in the spontaneously broken phase. At high temperature the argument does not hold and the restoration of magnetic Z(N) is consistent with area law for the Wilson loop.

30 pages, discussion of the Wilson loop at high temperature completely revised, new references added

References in corpus (3)

• Spatial 't Hooft loop, hot QCD and Z_N domain walls
• Vortices and confinement in hot and cold D=2+1 gauge theories
• Potential between external monopole and antimonopole in SU(2) lattice glu odynamics

Cited by in corpus (39)

• The semi-classical expansion and resurgence in gauge theories: new perturbative, instanton, bion, and renormalon effects
• Notes on generalized global symmetries in QFT
• Three-loop HTL QCD thermodynamics
• Three-loop HTLpt Pressure and Susceptibilities at Finite Temperature and Density
• Effective matrix model for deconfinement in pure gauge theories
• How Wide is the Transition to Deconfinement?
• Small shear viscosity in the semi quark gluon plasma
• 't Hooft and Wilson loop ratios in the QCD plasma
• Domain walls in high-T SU(N) super Yang-Mills theory and QCD(adj)
• Hard thermal loops, to quadratic order, in the background of a spatial 't Hooft loop
• Towards Abelian-like formulation of the dual gluodynamics
• Spatial 't Hooft loop to cubic order in hot QCD II
• Vortices, monopoles and confinement
• Excited Scalar and Pseudoscalar Mesons in the Extended Linear Sigma Model
• Spatial 't Hooft loop to cubic order in hot QCD
• A brief overview of hard-thermal-loop perturbation theory
• The Roberge-Weiss transition and 't Hooft loops
• Center Vortex Model for the Infrared Sector of SU(3) Yang-Mills Theory - Vortex Free Energy
• Hard Thermal Loop -- theory and applications
• Magnetic monopoles, alive
• Zero interface tension at the deconfining phase transition for a matrix model of a $SU(\infty )$ gauge theory
• A model for CMB anisotropies on large angular scales
• Matrix model for deconfinement in an SU(2) gauge theory in 2+1 dimensions
• The chicken or the egg; or Who ordered the chiral phase transition?
• Variational analysis of the deconfinement phase transition
• Z(N) Domain walls in hot N=4 SYM at weak and strong coupling
• Vortices and bags in 2+1 dimension
• On the Non-Abelian Stokes Theorem
• Magnetic Symmetries and Vortices In Chern-Simons Theories
• On Nonexistence of Magnetic Charge in Pure Yang-Mills Theories
• Domain Walls and Metastable Vacua in Hot Orientifold Field Theories
• Variational Analysis of Deconfinement in Compact U(1) Gauge Theory
• Wilson loops in the Hamiltonian formalism
• Z(N) wall junctions: Monopole fossils in hot QCD
• Fundamental Matter and the Deconfining Phase Transition in 2+1 D
• SUSY 3D Georgi-Glashow model at finite temperature
• Correlation of energy density in deconfining SU(2) Yang-Mills thermodynamics
• The Curious Case of an Effective Theory
• Chasing electric flux in hot QCD