Three-dimensional lattice U(1) gauge-Higgs model at low $m_H$

Abstract

We study the non-compact version of the U(1) gauge-Higgs model in three dimensions for $m_H=30GeV.$ We found that, using this formulation, rather modest lattices approach quite well the infinite volume behaviour.The phase transition is first order, as expected for this Higgs mass. The latent heat (in units of $T_{cr}^4$) is compatible with the predictions of the two-loop effective potential; it is an order of magnitude less than the corresponding SU(2) value. The transition temperature and $<{\phi }^{\ast }\phi >$ in units of the critical temperature are also compatible with the perturbative results.

arXiv comment15 pages, latex, 9 figures, changes in the comparison with perturbation theory

References in corpus (1)

• Dimensionally reduced U(1)+Higgs theory in the broken phase

Cited by in corpus (11)

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• O(a) errors in 3-D SU(N) Higgs theories
• Phase transition dynamics in the hot Abelian Higgs model
• Vortex tension as an order parameter in three-dimensional U(1)+Higgs theory
• Charge cross-over at the U(1)-Higgs phase transition
• Simulating hot Abelian gauge dynamics
• Asymmetric dark matter with a spontaneously broken $U(1{)}^{\prime }$: self-interaction and gravitational waves
• Statistical mechanics of vortices from field theory
• The 3d Effective Field Theory for Finite Temperature Scalar Electrodynamics
• Decoupling of Layers in the Three-dimensional Abelian Higgs Model