Charge cross-over at the U(1)-Higgs phase transition

Details Charge cross-over at the U(1)-Higgs phase transition Charge cross-over at the U(1)-Higgs phase transition

2000-02-14

arxiv.org/abs/hep-ph/0002153v2

Phys.Rev. D64 (2001) 045014

Physics

High Energy Physics

High Energy Physics - Phenomenology

39 pages; discussion extended, further comparisons with lattice data and perturbation theory, reference and subsection added;

Scientific paper

10.1103/PhysRevD.64.045014

The type-I region of phase transitions at finite temperature of the U(1)-Higgs theory in 3+1 dimensions is investigated in detail using a Wilsonian renormalisation group. We consider in particular the quantitative effects induced through the cross-over of the scale-dependent Abelian charge from the Gaussian to a non-trivial Abelian fixed point. As a result, the strength of the first-order phase transition is weakened. Analytical solutions to approximate flow equations are obtained, and all characteristics of the phase transition are discussed and compared to the results obtained from perturbation theory. In addition, we present a detailed quantitative study regarding the dependence of the physical observables on the coarse-graining scheme. This results in error-bars for the regularisation scheme (RS) dependence. We find quantitative evidence for an intimate link between the RS dependence and truncations of flow equations.

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