Dam T. Son JHEP02(2002)023 doi:10.1088/1126-6708/2002/02/023
Dam T. Son1,2
Show affiliationsThe three-dimensional abelian Higgs model has been argued to be dual to a scalar field theory with a global U(1) symmetry. We show that this duality, together with the scaling and universality hypotheses, implies a scaling law for the magnetic permeablity χm near the line of second order phase transition: χm ~ tν, where t is the deviation from the critical line and ν ≈ 0.67 is a critical exponent of the O(2) universality class. We also show that exactly on the critical lines, the dependence of magnetic induction on external magnetic field is quadratic, with a proportionality coefficient depending only on the gauge coupling. These predictions provide a way for testing the duality conjecture on the lattice in the Coulomb phase and at the phase transion.
11.10.Wx Finite-temperature field theory
11.30.Ly Other internal and higher symmetries
11.30.Fs Global symmetries (e.g., baryon number, lepton number)
Issue 02 (February 2002)
Received 6 February 2002, accepted for publication 18 February 2002
Published 20 February 2002
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