arXiv subjects

V. Rizov

Publications and source records attributed to V. Rizov.

3 recordsLinked to original sources

arXiv2004

In-medium Yang-Mills equations: a derivation and canonical quantization

The equations for Yang-Mills field in a medium are derived in a linear approximation with respect to the gauge coupling parameter and the external field. The obtained equations closely resemble the macroscopic Maxwell equations. A canonical quantization is performed for a family of Fermi-like gauges in the case of constant and diagonal (in the group indices) tensors of electric permittivity and magnetic permeability. The physical subspace is defined and the gauge field propagator is evaluated for a particular choice of the gauge. The propagator is applied for evaluation of the cross-section of ellastic quark scattering in the Born approximation. Possible applications to Cherenkov-type gluon radiation are commented briefly.

hep-ph↗

arXiv2000

A Model of the Electroweak Interactions with Invisible Higgs Particle

We propose a minimal unified model of the electroweak interactions without a Higgs particle in the final physical spectrum. This is achieved through adding a nonlinear constraint for the Higgs field in the Lagrangian in which the field's content is the same as in the Weinberg-Salam (WS) model. In the unitary gauge the generation of masses of the $W^{\pm}$ and $Z$ bosons, as well as for the leptons and quarks, reproduces the known pattern in the WS model. The path integral quantization shows that with the exception of the scalar particles' all other vertices, known from the WS model in the unitary gauge, remain. A Ward identity relative to the electromagnetic gauge group is also derived.

hep-ph↗

arXiv2000

A Note on the Gauge Group of the Electroweak Interactions

We propose a three-fold covering of the group ${U}(2)$ as a gauge group for the electroweak interactions for the purpose of describing fields with integer and fractional electric charges with respect to the residual electromagnetic gauge group after a spontaneous breaking of the gauge symmetry. In a more general scheme we construct a three-fold covering of ${U} (n)$ and consider for the case $n=2$ several representations which are used in the construction of a model of the electroweak interactions in a subsequent paper.

hep-ph↗