Lattice study of monopoles in the Electroweak theory

Details Lattice study of monopoles in the Electroweak theory Lattice study of monopoles in the Electroweak theory

2007-08-21

arxiv.org/abs/0708.2864v2

PoSLAT2007:337,2007

Physics

High Energy Physics

High Energy Physics - Lattice

poster presented at LATTICE 2007

Scientific paper

We investigated numerically properties of Nambu monopoles in lattice Electroweak theory at realistic values of $\alpha$ and $\theta_W$. Our choice of parameters of lattice Lagrangian corresponds to large values of the Higgs boson mass $M_H > 2 M_W$. We find that the density of Nambu monopoles cannot be predicted by the choice of the initial parameters of Electroweak theory and should be considered as the new external parameter of the theory. We also investigate the difference between the versions of Electroweak theory with the gauge groups $SU(2)\otimes U(1)$ and $SU(2)\otimes U(1)/Z_2$. We do not detect any difference at $\alpha \sim {1/128}$. However, such a difference appears in the strong coupling region and is related to the properties of monopoles constructed of the hypercharge field.

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