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We consider effective actions of the cosmological Friedmann-Robertson-Walker (FRW) models and discuss their fermionic rigid BRST invariance. Further, we demonstrate the finite field-dependent BRST transformations as a limiting case of…

General Relativity and Quantum Cosmology · Physics 2015-04-02 Sudhaker Upadhyay

We continue the study of finite field dependent BRST (FFBRST) symmetry in the quantum theory of gauge fields. An expression for the Jacobian of path integral measure is presented, depending on a finite field-dependent parameter, and the…

High Energy Physics - Theory · Physics 2017-07-20 Pavel Yu. Moshin , Sudhaker Upadhyay , Ricardo A. Castro

We consider the Batalin-Vilkovisky formulation of both 1-form and 2-form gauge theories, in the context of generalized BRST transformations with finite field dependent parameter. In the usual Faddeev-Popov formulation of gauge theories such…

High Energy Physics - Theory · Physics 2010-12-13 Bhabani Prasad Mandal , Sumit Kumar Rai , Sudhaker Upadhyay

We consider the finite field dependent BRST (FFBRST) transformations in the context of Hamiltonian formulation using Batalin-Fradkin-Vilkovisky method. The non-trivial Jacobian of such transformations is calculated in extended phase space.…

High Energy Physics - Theory · Physics 2015-09-25 Sumit Kumar Rai , Bhabani Prasad Mandal

We continue our research Nucl.Phys B888, 92 (2014); Int. J. Mod. Phys. A29, 1450159 (2014); Phys. Lett. B739, 110 (2014); Int. J. Mod. Phys. A30, 1550021 (2015) and extend the class of finite BRST-antiBRST transformations with odd-valued…

High Energy Physics - Theory · Physics 2016-07-14 Pavel Yu. Moshin , Alexander A. Reshetnyak

We review the concept and properties of finite field-dependent BRST and BRST-antiBRST transformations introduced in our recent study (A. Reshetnyak, IJMPA 29 (2014) 1450128, P. Moshin, A. Reshetnyak, Nucl. Phys. B 888 (2014) 92, Phys. Lett…

High Energy Physics - Theory · Physics 2017-03-21 A. A. Reshetnyak , P. Yu. Moshin

We construct the field dependent mixed BRST (combination of BRST and anti-BRST) transformations for pure gauge theories. These are shown to be an exact nilpotent symmetry of both the effective action as well as the generating functional for…

High Energy Physics - Theory · Physics 2012-07-30 Sudhaker Upadhyay , Bhabani Prasad Mandal

We find an explicit form for the Jacobian of arbitrary field-dependent BRST transformations in Yang-Mills theory. For the functional-integral representation of the (gauge-fixed) Yang-Mills vacuum functional, such transformations merely…

High Energy Physics - Theory · Physics 2015-06-15 Peter M. Lavrov , Olaf Lechtenfeld

The Becchi-Rouet-Stora and Tyutin (BRST) transformation plays a crucial role in the quantization of gauge theories. The BRST transformation is also very important tool in characterizing the various renormalizable field theoretic models. The…

High Energy Physics - Theory · Physics 2013-08-06 Sudhaker Upadhyay

In the framework of $Sp(2)$ extended Lagrangian field-antifield BV formalism we study systematically the role of finite field-dependent BRST-BV transformations. We have proved that the Jacobian of a finite BRST-BV transformation is capable…

High Energy Physics - Theory · Physics 2015-06-22 Igor A. Batalin , Klaus Bering , Peter M. Lavrov , Igor V. Tyutin

We study systematically finite BRST-BFV transformations in $Sp(2)$-extended generalized Hamiltonian formalism. We present explicitly their Jacobians and the form of a solution to the compensation equation determining the functional field…

High Energy Physics - Theory · Physics 2015-06-19 Igor A. Batalin , Peter M. Lavrov , Igor V. Tyutin

We present a review of our recent study (A. Reshetnyak, IJMPA 29 (2014) 1450128; P. Moshin, A. Reshetnyak, Nucl. Phys. B 888 (2014) 92; Phys. Lett B 739 (2014) 110; IJMPA 29 (2014) 1450159; IJMPA 30 (2015) 1550021; IJMPA 31 (2016) 1650111),…

High Energy Physics - Theory · Physics 2017-04-05 Pavel Yu. Moshin , Alexander A. Reshetnyak

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 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…

High Energy Physics - Theory · Physics 2015-06-19 Igor A. Batalin , Peter M. Lavrov , Igor V. Tyutin

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…

High Energy Physics - Theory · Physics 2016-03-16 Igor A. Batalin , Peter M. Lavrov , Igor V. Tyutin

The Einstein-Hilbert action in the context of Higher derivative theories is considered for finding out their BRST symmetries. Being a constraint system, the model is transformed in the minisuperspace language with the FRLW background and…

High Energy Physics - Theory · Physics 2016-07-19 Sudhaker Upadhyay , Biswajit Paul

We introduce the notion of finite BRST-antiBRST transformations, both global and field-dependent, with a doublet $\lambda_{a}$, $a=1,2$, of anticommuting Grassmann parameters and find explicit Jacobians corresponding to these changes of…

High Energy Physics - Theory · Physics 2019-11-21 Pavel Yu. Moshin , Alexander A. Reshetnyak

The generalized version of a lower dimensional model where vector and axial vector interaction get mixed up with different weight is considered. The bosonized version of which does not posses the local gauge symmetry. An attempt has been…

High Energy Physics - Theory · Physics 2016-11-22 Anisur Rahaman , Safia Yasmin

Following our recent study [P.Yu. Moshin, A.A. Reshetnyak, Nucl. Phys. B 888 (2014) 92], we discuss the notion of finite BRST-antiBRST transformations, with a doublet $\lambda_{a}$, $a=1,2$, of anticommuting (both global and…

High Energy Physics - Theory · Physics 2014-12-11 Pavel Yu. Moshin , Alexander A. Reshetnyak

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…

High Energy Physics - Theory · Physics 2015-07-16 Igor A. Batalin , Peter M. Lavrov , Igor V. Tyutin
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