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A. A. Reshetnyak

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

24 records · Page 2Linked to original sources
arXiv2003

Basic Theorem, Gauge Algebra, $θ$-superfield QED in the Lagrangian Formulation of General Superfield Theory of Fields

The basic theorem of the Lagrangian formulation for general superfield theory of fields (GSTF) is proved. The gauge transformations of general type (GTGT) and gauge algebra of generators of GTGT (GGTGT) as the consequences of the above theorem are studied. It is established the gauge algebra of GGTGT contains the one of generators of gauge transformations of special type (GGTST) as one's subalgebra. In the framework of Lagrangian formulation for GSTF the nontrivial superfield model generalizing the model of Quantum Electrodynamics and belonging to the class of gauge theory of general type (GThGT) with Abelian gauge algebra of GGTGT is constructed.

hep-th↗
arXiv2003

General Superfield Quantization Method. III. Construction of Quantization Scheme

Extension procedure for supermanifold ${\cal M}_{cl}$ of superfields ${\cal A}^{\imath}(θ)$, ghost number construction are considered. Classical and $\hbar$-deformed generating (master) equations, existence theorems for their solutions are formulated in $T^{\ast}_{odd}{\cal M}_{min}$, $T^{\ast}_{odd}{\cal M}_{ext}$. Analogous scheme is realized for BV similar generating equations. Master equations versions for GSQM and BV similar scheme are deformed in powers of superfields ${\stackrel{\circ}Γ}{}^p(θ)$ = $\bigl({\stackrel{\circ}Φ}{}^B(θ)$, ${\stackrel{\circ}Φ}{}^{\ast}_B(θ)\bigr)$ into supermanifold $T_{odd}(T^{\ast}_{odd}{\cal M}_{ext})$. Arbitrariness in a choice of solutions for these equations is described. Investigation of formal Hamiltonian systems for II class theories [2] defined via corresponding master equations solutions is conducted. Gauge fixing for those theories is described by two ways. Functional integral of superfunctions on $T_{odd}(T^{\ast}_{odd}{\cal M}_{ext})$ is defined. Properties for generating functionals of Green's superfunctions are studied. $θ$-component quantization formulation, connection with BV method and superfield quantization [3] are established. Quantization scheme realization is demonstrated on 6 models.

hep-th↗
arXiv1996

Effective Action of Composite Fields for General Gauge Theories in BLT-Covariant Formalism

The gauge dependence of the effective action of composite fields for general gauge theories in the framework of the quantization method by Batalin, Lavrov and Tyutin is studied. The corresponding Ward identities are obtained. The variation of composite fields effective action is found in terms of new set of operators depending on composite field. The theorem of the on-shell gauge fixing independence for the effective action of composite fields in such formalism is proved. brief discussion of gravitational-vector induced interaction for Maxwell theory with composite fields is given.

hep-th↗
arXiv1995

Superfield formulation of the Lagrangian BRST quantization method

Lagragian quantization rules for general gauge theories are proposed on a basis of a superfield formulation of the standard BRST symmetry. Independence of the $S$-matrix on a choice of the gauge is proved. The Ward identities in terms of superfields are derived.

hep-th↗