TY - JOUR

T1 - The fluctuational region on the phase diagram of lattice Weinberg-Salam model

AU - Zubkov, M. A.

N1 - Funding Information:
This work was partly supported by RFBR grants 09-02-00338 , 08-02-00661 , and 07-02-00237 , by Grant for Leading Scientific Schools 679.2008.2 , by Federal Program of the Russian Ministry of Industry, Science and Technology No. 40.052.1.1.1112 . The numerical simulations have been performed using the facilities of Moscow Joint Supercomputer Center.

PY - 2010/2/8

Y1 - 2010/2/8

N2 - The lattice Weinberg-Salam model without fermions is investigated numerically for the realistic choice of bare coupling constants correspondent to the value of the Weinberg angle θW ∼ 30 °, and the fine structure constant α ∼ frac(1, 100). On the phase diagram there exists the vicinity of the phase transition between the physical Higgs phase and the unphysical symmetric phase, where the fluctuations of the scalar field become strong. The classical Nambu monopole can be considered as an embryo of the unphysical symmetric phase within the physical phase. In the fluctuational region quantum Nambu monopoles are dense and, therefore, the perturbation expansion around trivial vacuum cannot be applied. The maximal value of the cutoff at the given values of coupling constants calculated using the lattices of sizes 83 × 16, 123 × 16, and 164 is Λc ∼ 1.4 ± 0.2 TeV. As the lattice sizes used are rather small we consider this result as preliminary.

AB - The lattice Weinberg-Salam model without fermions is investigated numerically for the realistic choice of bare coupling constants correspondent to the value of the Weinberg angle θW ∼ 30 °, and the fine structure constant α ∼ frac(1, 100). On the phase diagram there exists the vicinity of the phase transition between the physical Higgs phase and the unphysical symmetric phase, where the fluctuations of the scalar field become strong. The classical Nambu monopole can be considered as an embryo of the unphysical symmetric phase within the physical phase. In the fluctuational region quantum Nambu monopoles are dense and, therefore, the perturbation expansion around trivial vacuum cannot be applied. The maximal value of the cutoff at the given values of coupling constants calculated using the lattices of sizes 83 × 16, 123 × 16, and 164 is Λc ∼ 1.4 ± 0.2 TeV. As the lattice sizes used are rather small we consider this result as preliminary.

UR - http://www.scopus.com/inward/record.url?scp=74549220578&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2010.01.019

DO - 10.1016/j.physletb.2010.01.019

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AN - SCOPUS:74549220578

SN - 0370-2693

VL - 684

SP - 141

EP - 146

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 2-3

ER -