Phase diagram of the Abelian Higgs model using the auxiliary mass method

摘要

We study a phase transition in the Abelian Higgs model at Finite temperature using the auxiliary mass method. We vary the gauge coupling constant q and the scalar self-coupling constant lambda. We find that a first-order phase transition disappears at a tricritical point,. It can be fit by the form q(2) proportional to lambda (zeta) very well. The value of the parameter zeta depends on the range of lambda. Our results can be applied to experiments on high-temperature superconductors and liquid crystals. In particular, the tricritical point is kappa (c) = 0.28 for superconductors, where q = 2e. [References: 65]