Tuesday, February 7, 2012

1108.3300 (M. A. Zubkov)

Zero temperature lattice Weinberg - Salam model for the values of the
cutoff $Λ\sim 1$ TeV
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M. A. Zubkov
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 $\theta_W \sim 30^o$, the fine structure constant
$\alpha \sim 1/150$, the Higgs mass $M_H \sim 150$ GeV. We find that the
fluctuational region begins at the values of the cutoff $\Lambda$ above about
0.8 TeV. In this region the average distance between Nambu monopoles is close
to their sizes. At $\Lambda > 1$ 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 $16^3\times
32$.
View original: http://arxiv.org/abs/1108.3300

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