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arXiv · 1108.3300

Zero temperature lattice Weinberg - Salam model for the values of the cutoff $Λ\sim 1$ TeV

M. A. Zubkov
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Abstract

The lattice Weinberg - Salam model at zero temperature is investigated numerically. We consider the model for the following values of the coupling constants: the Weinberg angle $θ_W \sim 30^o$, the fine structure constant $α\sim 1/150$, the Higgs mass $M_H \sim 150$ GeV. We find that the fluctuational region begins at the values of the cutoff $Λ$ above about 0.8 TeV. In this region the average distance between Nambu monopoles is close to their sizes. At $Λ> 1$ TeV the Nambu monopole currents percolate. Within the fluctuational region the considered definitions of the scalar field condensate give values that differ from the expected one $2 M_Z/g_z$. We consider the given results as an indication that the nonperturbative effects may be present in the Weinberg - Salam model at the large values of the cutoff. Our numerical results were obtained on the lattices of sizes up to $16^3\times 32$.

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M. A. Zubkov. 2012-02-04. Zero temperature lattice Weinberg - Salam model for the values of the cutoff $Λ\sim 1$ TeV. https://doi.org/10.1103/physrevd.85.073001

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