English

The Electroweak Phase Transition in a Magnetic Field

High Energy Physics - Lattice 2009-10-31 v3 High Energy Physics - Phenomenology

Abstract

We study the finite temperature electroweak phase transition in an external hypercharge U(1) magnetic field H_Y, using lattice Monte Carlo simulations. For sufficiently small fields, H_Y/T^2 < 0.3, the magnetic field makes the first order transition stronger, but it still turns into a crossover for Higgs masses m_H ~ 80 GeV. For larger fields, we observe a mixed phase analogous to a type I superconductor, where a single macroscopic tube of the symmetric phase, parallel to H_Y, penetrates through the broken phase. For the magnetic fields and Higgs masses studied, we did not see indications of the expected Ambjorn-Olesen phase, which should be similar to a type II superconductor.

Keywords

Cite

@article{arxiv.hep-lat/9809004,
  title  = {The Electroweak Phase Transition in a Magnetic Field},
  author = {K. Kajantie and M. Laine and J. Peisa and K. Rummukainen and M. Shaposhnikov},
  journal= {arXiv preprint arXiv:hep-lat/9809004},
  year   = {2009}
}

Comments

20 pages, 7 figures. Discussion on lattice results extended. To appear in Nucl.Phys.B