48 citations · 118 across the 17 of their papers we have counts for
5 papers · 1 filter
Towards non-perturbative quantization and the mass gap problem for the Yang-Mills Field
Alexey Sevostyanov
We reduce the problem of quantization of the Yang-Mills field Hamiltonian to a problem for defining a probability measure on an infinite-dimensional space of gauge equivalence clas…
An equivalence of two mass generation mechanisms for gauge fields
A. Sevostyanov
Two mass generation mechanisms for gauge theories are studied. It is proved that in the abelian case the topological mass generation mechanism introduced in hep-th/9301060, hep-th/…
Nonlocal lagrangians and mass generation for gauge fields
A. Sevostyanov
In this paper we study the nonabelian, gauge invariant and asymptotically free quantum gauge theory with a mass parameter introduced in hep-th/0605050. We develop the Feynman diagr…
A mass generation mechanism for gauge fields
A. Sevostyanov
We suggest a new mass generation mechanism for gauge fields. The quantum field theory constructed in this paper is nonabelian, gauge invariant and asymptotically free.
The classical r-matrix method for nonlinear sigma-model
Alexey Sevostyanov
The canonical Poisson structure of nonlinear sigma-model is presented as a Lie-Poisson r-matrix bracket on coadjoint orbits. It is shown that the Poisson structure of this model is…