Domain walls and perturbation theory in high temperature gauge theory: SU(2) in 2+1 dimensions

Abstract

We study the detailed properties of Z_2 domain walls in the deconfined high temperature phase of the d=2+1 SU(2) gauge theory. These walls are studied both by computer simulations of the lattice theory and by one-loop perturbative calculations. The latter are carried out both in the continuum and on the lattice. We find that leading order perturbation theory reproduces the detailed properties of these domain walls remarkably accurately even at temperatures where the effective dimensionless expansion parameter, g^2/T, is close to unity. The quantities studied include the surface tension, the action density profiles, roughening and the electric screening mass. It is only for the last quantity that we find an exception to the precocious success of perturbation theory. All this shows that, despite the presence of infrared divergences at higher orders, high-T perturbation theory can be an accurate calculational tool.

75 pages, LaTeX, 14 figures

References in corpus (5)

• Z(N) interface tension in a hot SU(N) gauge theory
• Constrained effective potential in hot QCD
• The $\epsilon$-expansion and the electroweak phase transition
• Phase of the Wilson Line
• High-Temperature Properties of the Z(3) Interface in (2+1)-D SU(3) Gauge Theory

Cited by in corpus (19)

• The high temperature phase transition in SU(N) gauge theories
• Properties of the deconfining phase transition in SU(N) gauge theories
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• Spatial 't Hooft loop, hot QCD and Z_N domain walls
• Magnetic Z(N) symmetry in hot QCD and the spatial Wilson loop
• Hard thermal loops, to quadratic order, in the background of a spatial 't Hooft loop
• The Potential for the Phase of the Wilson line at Nonzero Quark Density
• Precision Lattice Calculation of SU(2) 't Hooft loops
• Casimir scaling of domain wall tensions in the deconfined phase of D=3+1 SU(N) gauge theories
• Strong to weak coupling transitions of SU(N) gauge theories in 2+1 dimensions
• Finite-temperature phase transitions of third and higher order in gauge theories at large $N$
• Beta-functions for a SU(2) Matrix Model in 2 + epsilon Dimensions
• A remark on higher dimension induced domain wall defects in our world
• Matrix model for deconfinement in an SU(2) gauge theory in 2+1 dimensions
• Charting the scaling region of the Ising universality class in two and three dimensions
• Matrix model for deconfinement in a SU(Nc) gauge theory in 2+1 dimensions
• Phase structure of compactified $SU(N)$ gauge theories in magnetic backgrounds
• Wilson loops in the Hamiltonian formalism
• A numerical method for determining the interface free energy