Masses and Phase Structure in the Ginzburg-Landau Model
K. Kajantie, M. Karjalainen, M. Laine, J. Peisa
Abstract
We study numerically the phase structure of the Ginzburg-Landau model, with particular emphasis on mass measurements. There is no local gauge invariant order parameter, but we find that there is a phase transition characterized by a vanishing photon mass. For type I superconductors the transition is of 1st order. For type II 1st order is excluded by susceptibility analysis, but the photon correlation length suggests 2nd order critical behaviour with ν~ 1/2. The scalar mass, in contrast, does not show clear critical behaviour in the type II regime for V ∞, contrary to the conventional picture.
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