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

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

1997-03-07

arxiv.org/abs/hep-lat/9703004v3

Eur.Phys.J.C1:711-719,1998

Physics

High Energy Physics

High Energy Physics - Lattice

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

Scientific paper

10.1007/s100520050116

We study the non-compact version of the U(1) gauge-Higgs model in three dimensions for $m_H = 30 GeV.$ 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 $<\varphi^* \varphi>$ in units of the critical temperature are also compatible with the perturbative results.

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