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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

In this paper, we consider a $D$-dimensional massive Thirring model with ($2<D<4$). We derive an extended BRST symmetry of the theory with finite field-dependent parameter. Further we compute the Jacobian of functional measure under such an…

High Energy Physics - Theory · Physics 2016-07-04 Sudhaker Upadhyay , Prince A. Ganai

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-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 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 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 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

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 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

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 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

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 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

We introduce the notion of finite BRST-antiBRST transformations for constrained dynamical systems in the generalized Hamiltonian formalism, both global and field-dependent, with a doublet $\lambda_{a}$, $a=1,2$, of anticommuting Grassmann…

High Energy Physics - Theory · Physics 2014-10-16 Pavel Yu. Moshin , Alexander A. Reshetnyak

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

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

We develop the off-shell nilpotent finite field dependent BRST transformations and show that for different choices of the finite field dependent parameter these connect the generating functionals corresponding to different effective…

High Energy Physics - Theory · Physics 2011-08-04 Sudhaker Upadhyay , Sumit Kumar Rai , Bhabani Prasad Mandal

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 develop the finite field-dependent BRST (FFBRST) transformation for arbitrary spin-s conformal field theories. We discuss the novel features of the FFBRST transformation in these systems. To illustrate the results we consider the spin-1…

High Energy Physics - Theory · Physics 2015-04-21 Sudhaker Upadhyay , Bhabani Prasad Mandal
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