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Embedded topological defects in hot electroweak theory: a lattice study

1998/05/31 by M. N. Chernodub, F. V. Gubarev, E. -M. Ilgenfritz +2 · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Condensed matter physics #Electroweak interaction #Higgs boson #Lattice (music) #Particle physics theoretical and experimental studies #Phase transition #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Vortex #hep-lat #hep-ph

paper · pdf · doi:10.1016/s0370-2693(98)00754-0

published as Phys.Lett.B434:83-91,1998 · 13 pages, LaTeX, 8 figures, epsf.sty needed; revision: minor changes and reference added

arxiv created 1998/06/09 · openalex publication_date 1998/08/01 · arxiv updated 2010/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the properties of Nambu monopoles and Z-vortices in the 3D lattice SU(2) Higgs theory which represents the Standard Model at high temperature. We show that the densities of the Nambu monopoles and the Z-vortices are O(1) in the symmetric phase and generically small in the Higgs phase. Near to the critical Higgs mass and in the vicinity of the phase transition the densities are no more negligible in the broken phase. The percolation probability of the Z-vortex lines is found as a new disorder parameter for this phase transition. We conclude that the transition to the symmetric phase is accompanied by Z-vortex condensation. Simulations comparing elementary and extended vortices and monopoles at different βG values, aiming to show that the density of vortices and monopoles of fixed physical size might have a well-defined continuum limit, gives encouraging but so far inconclusive results.

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