A. A. Slavnov

Invariant regularization of non-linear chiral theories

Abstract Invariant regularization of non-linear chiral Lagrangians is constructed. The regularized theory satisfies charge algebra constraints, threshold theorems and is unitary at sufficiently small energies. So it may be used for the description of low energy π -meson scattering.

HIGHER COVARIANT DERIVATIVE REGULARIZATION REVISITED

The method of higher covariant derivative regularization of gauge theories is reviewed. The objections raised in the literature last years are discussed and the consistency of the method is proven. New approach to regularization of overlapping divergencies is developped.The method of higher covariant derivative regularization of gauge theories is reviewed. The objections raised in the literature last few years are discussed and the consistency of the method is proven. New approach to regularization of overlapping divergencies is developed.

Universal gauge invariant renormalization

Abstract A new renormalization scheme for gauge invariant theories is proposed. This scheme provides automatically gauge invariance of renormalized theory independently on a regularization used.

Renormalization of supersymmetric gauge theories: (II) Non-Abelian case

A manifestly invariant renormalization procedure is formulated for the supersymmetric non-Abelian gauge theories. All ultraviolet infinites are shown to be eliminated by a common wave function and charge renormalization.

Universal invariant renormalization for supersymmetric theories

We propose a universal gauge-invariant renormalization scheme for supersymmetric theories. We apply this scheme to the supersymmetric quantum electrodynamics.

Universal Invariant Renormalization for the Supersymmetric Yang–Mills Theory

A manifestly invariant renormalization scheme of N=1 nonabelian supersymmetric gauge theories is proposed.

Consistent non-commutative quantum gauge theories?

A new non-commutative model invariant with respect to U(1) gauge group is proposed. The model is free of nonintegrable infrared singularities. Its commutative classical limit describes a free scalar field. Generalization to U(N) models is also considered.A new noncommutative model invariant with respect to U(1) gauge group is proposed. The model is free of nonintegrable infrared singularities. Its commutative classical limit describes a free scalar field. Generalization to U(N) models is also considered.

Higgs mechanism as a collective effect due to an extra dimension

We present a systematic analysis of our previously proposed electroweak-interaction model described by a higher-derivative Lagrangian depending on an extra dimension.

Fermi-Bose duality via extra dimension

Abstract Representation of a D -dimensional fermion determinant as a path integral of exponent of a ( D +1)-dimensional Hermitean bosonic action is constructed.Representation of a

Propagator of Yang-Mills field in light-cone gauge

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