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A. A. Slavnov

Publications and source records attributed to A. A. Slavnov.

At least 19 recordsLinked to original sources
arXiv2015

60 years of gauge fields

The development of nonabelian gauge fields for last 60 years is reviewed. The new method of quantization of gauge fields applicable beyond perturbation theory is proposed.

hep-th↗
arXiv2015

New approach to the quantization of the Yang-Mills field

Review of the papers on the new method of the Yang-Mills field quantization applicable both in perturbation theory and beyond it is presented. It is shown that in the modified formulation of the Yang-Mills theory leading to the formal perturbation theory, which coincides with the standard one, there exist soliton solutions of the classical equations of motion.

hep-th↗
arXiv2013

Gauge fields beyond perturbation theory

A new formulation of nonabelian gauge theories, introducing new ghost fields and new symmetry is proposed. This formulation does not suffer from Gribov ambiguity and allows to quantize nonabelian gauge fields beyond perturbation theory.

hep-th↗
arXiv2010

Renormalization of the Yang-Mills theory in the ambiguity-free gauge

The renormalization procedure for the Yang-Mills theory in the gauge free of the Gribov ambiguity is constructed. It is shown that all the ultraviolet infinities may be removed by renormalization of the parameters entering the classical Lagrangian and the local redefinition of the fields.

hep-th↗
arXiv2007

Matrix and vector models in the strong coupling limit

In this paper we consider matrix and vector models in the large N limit ($N \times N$ matrices and vectors with N^{2} components). For the case of zero-dimensional model (D=0) it is proved that in the strong coupling limit $g \to \infty$ statistical sums of both models coincide up to a coefficient. This is also true for D=1.

hep-th↗
arXiv2006

The condensate in commutative and noncommutative theories

It is shown that gauge invariance of the operator \int dx tr(A_μ^{2}-\frac{2}{g ξ} x^ν θ_{μν} A^μ) in noncommutative gauge theory does not lead to gauge independence of its vacuum condensate. Generalized Ward identities are obtained for Green's functions involving operator \underset{Ω\to \infty}{lim}\frac{1}Ω \int\limits_Ω dx tr(A_μ^{2}) in noncommutative and commutative gauge theories.

hep-th↗
arXiv2005

Critical temperature in QCD with two flavors of dynamical quarks

We present results obtained in QCD with two flavors of non-perturbatively improved Wilson fermions at finite temperature on $16^3 \times 8$ and $24^3 \times 10$ lattices. We determine the transition temperature in the range of quark masses $0.6<m_π/m_ρ<0.8$ at lattice spacing a$\approx$0.1 fm and extrapolate the transition temperature to the continuum and to the chiral limits. We also discuss the order of phase transition.

hep-lat↗
arXiv2005

Hierarchy of massive gauge fields

An explicitely gauge invariant polynomial action for massive gauge fields is proposed. For different values of parameters it describes massive Yang-Mills field, the Higgs-Kibble model, the model with spontaneously broken symmetry and two scalar mesons.

hep-th↗