Standard Model in Hamiltonian Approachand Higgs Effect

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The vector bosons models including Standard Model (SM) are investigated in the framework
of the Dirac Hamiltonian method with explicit resolving the Gauss constraints in order
to eliminate variables with zero momenta and negative energy contribution in accordance
with the spectral postulate of operator quantization. This elimination leads to static interactions
in a frame of reference of the Hamiltonian formulation. We list a set of observational
and theoretical arguments in favor of these static interactions in SM. We show that the
Dirac Hamiltonian method admits the mechanism of spontaneous symmetry breaking in SM
by the initial data of the zeroth Fourier harmonic of the Higgs field that provokes masses
of vector and spinor fields without the Higgs potential of this zeroth harmonic. In this case,
the extremum of the quantum Coleman-Weinberg effective potential obtained from the unit
vacuum-vacuum transition amplitude leads to a new sum-rule for masses of fermions and
bosons and predicts a mass of the Higgs field 250 GeV.

About the authors

V N Pervushin

Joint Institute for Nuclear Research

Joint Institute for Nuclear Research

S A Shuvalov

Peoples Friendship University of Russia

Peoples Friendship University of Russia


Copyright (c) 2008 Первушин В.Н., Шувалов С.А.

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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