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Igor V. Tyutin

Publications and source records attributed to Igor V. Tyutin.

9 recordsLinked to original sources
arXiv2020

Multiplicative renormalizability of Yang-Mills theory with the background field method in the BV-formalism

Studying the gauge-invariant renormalizability of four-dimensional Yang-Mills theory using the background field method and the BV-formalism, we derive a classical master-equation homogeneous with respect to the antibracket by introducing antifield partners to the background fields and parameters. The constructed model can be renormalized by the standard method of introducing counterterms. This model does not have (exact) multiplicative renormalizability but it does have this property in the physical sector (quasimultiplicative renormalizability).

hep-th↗
arXiv2019

Gauge dependence and multiplicative renormalization of Yang-Mills theory with matter fields

In the paper, within the background field method, the renormalization and the gauge dependence is studied as for an SU(2) Yang-Mills theory with multiplets of spinor and scalar fields. By extending the quantum action of the BV-formalism with an extra fermion vector field and a constant fermion parameter, the multiplicative character of the renormalizability is proven. The renormalization of all the physical parameters of the theory under consideration is shown to be gauge-independent.

hep-th↗
arXiv2018

Multiplicative renormalization of Yang-Mills theories in the background-field formalism

In the paper, within the background-field method, the structure of renormalizations is studied as for Yang-Mills fields interacting with a multiplet of spinor fields. By extending the Faddeev-Popov action with extra fields and parameters, one is allowed to establish the multiplicative character of the renormalizability. The renormalization of the physical parameters is shown to be gauge-independent.

hep-th↗
arXiv2016

A systematic study of finite BRST-BFV transformations in generalized Hamiltonian formalism

We study systematically finite BRST-BFV transformations in the generalized Hamiltonian formalism. We present explicitly their Jacobians and the form of a solution to the compensation equation determining the functional field dependence of finite Fermionic parameters, necessary to generate arbitrary finite change of gauge-fixing functions in the path integral.

hep-th↗
arXiv2015

Finite BRST-BFV transformations for dynamical systems with second-class constraints

We study finite field dependent BRST-BFV transformations for dynamical systems with first- and second-class constraints within the generalized Hamiltonian formalism. We find explicitly their Jacobians and the form of a solution to the compensation equation necessary for generating an arbitrary finite change of gauge-fixing functionals in the path integral.

hep-th↗
arXiv2015

Finite anticanonical transformations in field-antifield formalism

We study the role of arbitrary (finite) anticanonical transformations in the field-antifield formalism, and the gauge-fixing procedure based on the use of these transformations. The properties of the generating functionals of the Green functions subjected to finite anticanonical transformations are considered.

hep-th↗
arXiv2014

A systematic study of finite BRST-BV transformations in field-antifield formalism

We study systematically finite BRST- BV transformations in the field-antifield formalism. We present explicitly their Jacobians and the form of a solution to the compensation equation determining the functional field dependence of finite Fermionic parameters, necessary to generate arbitrary finite change of gauge-fixing functions in the path integral.

hep-th↗