The 3d effective field theory of the high temperature abelian Higgs model

1992/09/11 by Vidyut Jain, Jain, Vidyut
Physics and Astronomy · #Quantum Chromodynamics and Particle Interactions #Black Holes and Theoretical Physics #Physics of Superconductivity and Magnetism

paper · pdf · doi:10.48550/arxiv.hep-ph/9209227

Abstract

We study the 3d effective theory of the high T Abelian Higgs model with N real scalars and gauge and scalar couplings denoted g and λ, respectively. We find for the three cases a) 6g²/λ=0(1), b) 6g²/λ=0(N) and c) 6g²/λ=O(N^2\over3) the following results: a) The O(N)+O(1) potential admits only a second order phase transition, b) The O(1) potential admits a first order transition and c) the O(N^1\over3) +O(1) result gives a first order transition whose strength diminshes with N.

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