A Candidate for Exact Continuum Dual Theory for Scalar QED${}_3$

Abstract

We discuss a possible exact equivalence of the Abelian Higgs model and a scalar theory of a magnetic vortex field in 2+1 dimensions. The vortex model has a current - current interaction and can be viewed as a strong coupling limit of a massive vector theory. The fixed point structure of the theory is discussed and mapped into fixed points of the Higgs model.

17 pages, 1 figure available on request, LA-UR-93-832

Cited by in corpus (16)

• The Ginzburg-Landau Theory of Type II superconductors in magnetic field
• Critical fluctuations in superconductors and the magnetic field penetration depth
• Critical Exponents of the Superconducting Phase Transition
• Thermodynamics of Gauge-Invariant U(1) Vortices from Lattice Monte Carlo Simulations
• Masses and Phase Structure in the Ginzburg-Landau Model
• Dual description of the superconducting phase transition
• Kosterlitz-Thouless-like deconfinement mechanism in the 2+1 dimensional Abelian Higgs model
• Continuum dual theory of the transition in 3D lattice superconductor
• Numerical study of duality and universality in a frozen superconductor
• Vortex tension as an order parameter in three-dimensional U(1)+Higgs theory
• O(2) symmetry breaking vs. vortex loop percolation
• Scaling critical behavior of superconductors at zero magnetic field
• Duality and scaling in 3-dimensional scalar electrodynamics
• Critical behaviour of the Ginzburg-Landau model in the type II region
• Magnetic field induced 3D to 1D crossover in type II superconductors
• The inverted XY universality of the superconductivity phase transition