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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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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.…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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),…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 2015-04-21 Sudhaker Upadhyay , Bhabani Prasad Mandal
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