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arXiv · hep-lat/0606010

$Z_6$ symmetry, electroweak transition, and magnetic monopoles at high temperature

Abstract

We consider the lattice realization of the Standard Model with an additional $Z_6$ symmetry. Numerical simulations were performed on the asymmetric lattice, which corresponds to the finite temperature theory. Our choice of parameters corresponds to large Higgs masses ($M_H > 90$ Gev). The phase diagram was investigated and has been found to be different from that of the usual lattice realization of the Standard Model. It has been found, that the confinement-deconfinement phase transition lines for the SU(2) and SU(3) fields coincide. The transition line between Higgs and symmetric deconfinement parts of the phase diagram and the confinement-deconfinement transition line meet in a triple point. The transition between Higgs and symmetric parts of the phase diagram corresponds to the finite temperature electroweak transition/crossover. We see for the first time evidence that Nambu monopoles are condensed at $T>T_c$ while at $T<T_c$ their condensate vanishes.

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B. L. G. Bakker, A. I. Veselov, M. A. Zubkov. 2006-08-10. $Z_6$ symmetry, electroweak transition, and magnetic monopoles at high temperature. https://doi.org/10.1016/j.physletb.2006.09.006

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