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A $\theta$-local formulation of superfield Lagrangian quantization in non-Abelian hypergauges is proposed on the basis of an extension of general reducible gauge theories to special superfield models with a Grassmann parameter $\theta$. We…

High Energy Physics - Theory · Physics 2009-11-11 D. M. Gitman , P. Yu. Moshin , A. A. Reshetnyak

We propose an N=1 superfield formulation of Lagrangian quantization in general hypergauges by extending a reducible gauge theory to a superfield model with a local dependence on a Grassmann parameter $\theta$. By means of $\theta$-local…

High Energy Physics - Theory · Physics 2009-11-11 D. M. Gitman , P. Yu. Moshin , A. A. Reshetnyak

The rules for superfield Lagrangian quantization method for general gauge theories on a basis of their generalization to special superfield models within a so-called $\theta$-superfield theory of fields ($\theta$-STF) are formulated. The…

High Energy Physics - Theory · Physics 2007-05-23 A. A. Reshetnyak

A Lagrangian BRST quantization for generic gauge theories in general irreducible non-Abelian hypergauges is proposed on a basis of the multilevel Batalin--Tyutin formalism and a special BV--BFV dual description for a reducible gauge model…

High Energy Physics - Theory · Physics 2019-04-16 Alexander A. Reshetnyak

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…

High Energy Physics - Theory · Physics 2015-06-26 P. M. Lavrov , P. Yu. Moshin , A. A. Reshetnyak

We propose a modification of the gauge-fixing procedure in the Lagrangian method of superfield BRST quantization for general gauge theories which simultaneously provides a natural generalization of the well-known BV quantization scheme as…

High Energy Physics - Theory · Physics 2009-10-31 Bodo Geyer , Petr M. Lavrov , Pavel Yu. Moshin

We consider possible superfield representations of extended BRST symmetry for general gauge theories within the principle of gauge-fixing based on a generating equation for the gauge functional. We examine admissible superfield choices for…

High Energy Physics - Theory · Physics 2009-11-07 P. M. Lavrov , P. Yu. Moshin

We consider an extension of the gauge-fixing procedure in the framework of the Lagrangian superfield BRST and BRST-antiBRST quantization schemes for arbitrary gauge theories, taking into account the possible ambiguity in the choice of the…

High Energy Physics - Theory · Physics 2007-05-23 P. M. Lavrov , L. A. Malysheva , P. Yu. Moshin

A superfield version on superspace $(x^\mu,\theta^a)$ is proposed for the $Sp(2)$-- covariant Lagrangian quantization of general gauge theories. The BRST- and antiBRST- transformations are realized on superfields as supertranslations in the…

High Energy Physics - Theory · Physics 2009-10-28 P. M. Lavrov

We continue the study of finite BRST-antiBRST transformations for general gauge theories in Lagrangian formalism initiated in [arXiv:1405.0790[hep-th]], with a doublet $\lambda_{a}$, $a=1,2$, of anticommuting Grassmann parameters, and find…

High Energy Physics - Theory · Physics 2014-12-02 Pavel Yu. Moshin , Alexander A. Reshetnyak

We continue our study of finite BRST-antiBRST transformations for general gauge theories in Lagrangian formalism, initiated in [arXiv:1405.0790[hep-th] and arXiv:1406.0179[hep-th]], with a doublet $\lambda_{a}$, $a=1,2$, of anticommuting…

High Energy Physics - Theory · Physics 2015-02-03 Pavel Yu. Moshin , Alexander A. Reshetnyak

Supersymmetric Ward identity for the low energy effective action in the standard background gauge is derived for {\it arbitrary} trajectories of supergravitons in Matrix Theory. In our formalism, the quantum-corrected supersymmetry…

High Energy Physics - Theory · Physics 2009-10-31 Y. Kazama , T. Muramatsu

A topological gauge invariant lagrangian for Seiberg-Witten monopole equations is constructed. The action is invariant under a huge class of gauge transformations which after BRST fixing leads to the BRST invariant action associated to…

High Energy Physics - Theory · Physics 2007-05-23 R. Gianvittorio , I. Martin , A. Restuccia

Non-Abelian gauge theories with composite fields are examined in the background field method. Generating functionals of Green's functions for a Yang--Mills theory with composite and background fields are introduced, including the generating…

High Energy Physics - Theory · Physics 2022-12-29 Pavel Yu. Moshin , Alexander A. Reshetnyak , Ricardo A. Castro

The Ward identities are the relations which the complete Green functions of quantum fields satisfy if an original classical Lagrangian system is degenerate. A generic degenerate Lagrangian system of even and odd fields is considered. It is…

High Energy Physics - Theory · Physics 2007-05-23 D. Bashkirov , G. Sardanashvily

The rules to construct Lagrangian formulation for $\theta$-superfield theory of fields ($\theta$-STF) are introduced and considered on the whole in the framework of new superfield quantization method for general gauge theories. Algebraic,…

High Energy Physics - Theory · Physics 2007-05-23 A. A. Reshetnyak

In our previously published papers, it was argued that a massive non-Abelian gauge field theory in which all gauge fields have the same mass can well be set up on the gauge-invariance principle. The quantization of the fields was performed…

High Energy Physics - Theory · Physics 2007-05-23 Jun-Chen Su

It was shown recently that the lagrangian of the Grosse-Wulkenhaar model can be written as lagrangian of the scalar field propagating in a curved noncommutative space. In this interpretation, renormalizability of the model is related to the…

High Energy Physics - Theory · Physics 2014-11-20 Maja Buric , Harald Grosse , John Madore

We consider generating functionals of Green's functions with external fields in the framework of BV and BLT quantization schemes for general gauge theories. The corresponding Ward identities are obtained, and the gauge dependence is…

High Energy Physics - Theory · Physics 2009-10-30 S. Falkenberg , B. Geyer , P. Lavrov , P. Moshin

The generating functionals of Green's functions with composite and external fields are considered in the framework of BV and BLT quantization methods for general gauge theories. The corresponding Ward identities are derived and the gauge…

High Energy Physics - Theory · Physics 2009-10-30 S. Falkenberg , B. Geyer , P. Moshin
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