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A previously proposed generalized BRST quantization on inner product spaces for second class constraints is further developed through applications. This BRST method involves a conserved generalized BRST charge Q which is not nilpotent but…

High Energy Physics - Theory · Physics 2009-10-30 Robert Marnelius , Ikuo S. Sogami

We describe a Lagrangian quantization of the free massless gauge superfield theories of higher superspins both in the anti-de Sitter and flat global superspaces.

High Energy Physics - Theory · Physics 2016-09-06 I. L. Buchbinder , S. M. Kuzenko , A. G. Sibiryakov

The osp(1,2)-covariant Lagrangian quantization of general gauge theories is formulated which applies also to massive fields. The formalism generalizes the Sp(2)-covariant BLT approach and guarantees symplectic invariance of the quantized…

High Energy Physics - Theory · Physics 2007-05-23 B. Geyer , P. M. Lavrov , D. Mülsch

We propose an extended BRST invariant Lagrangian quantization scheme of general gauge theories based on an explicit realization of the modified triplectic algebra that was announced in our previous investigation (hep-th/0104189). The…

High Energy Physics - Theory · Physics 2009-11-07 Bodo Geyer , Petr Lavrov , Armen Nersessian

Canonical analysis leading to formal quantisation of the higher derivative theories are considered. The first order formalism is adopted where all the configuration space variables along with their higher time derivatives are considered to…

High Energy Physics - Theory · Physics 2015-02-20 Biswajit Paul

Using purely Hamiltonian methods we derive a simple differential equation for the generator of the most general local symmetry transformation of a Lagrangian. The restrictions on the gauge parameters found by earlier approaches are easily…

High Energy Physics - Theory · Physics 2009-10-31 R. Banerjee , H. J. Rothe , K. D. Rothe

It is argued that the massive gauge field theory without the Higgs mechanism can well be set up on the gauge-invariance principle based on the viewpoint that a massive gauge field must be viewed as a constrained system and the Lorentz…

High Energy Physics - Theory · Physics 2008-11-26 Jun-Chen Su

We give a detailed review of the construction of gauge invariant Lagrangians for free and interacting higher spin fields using the BRST approach developed over the past few years.

High Energy Physics - Theory · Physics 2009-02-09 A. Fotopoulos , M. Tsulaia

Study of gauge symmetry is carried over the different interacting and noninteracting field theoretical models through a prescription based on lagrangian formulation. It is found that the prescription is capable of testing whether a given…

High Energy Physics - Theory · Physics 2014-04-17 Safia Yasmin , Anisur Rahaman

We exploit the geometrical superfield formalism to derive the local, covariant and continuous Becchi-Rouet-Stora-Tyutin (BRST) symmetry transformations and the non-local, non-covariant and continuous dual-BRST symmetry transformations for…

High Energy Physics - Theory · Physics 2008-11-26 R. P. Malik

We discuss the use of BRST symmetry and the resulting Ward identities for orbifold gauge theories as consistency checks in an arbitrary number of dimensions. We verify that both the usual orbifold symmetry breaking and the recently proposed…

High Energy Physics - Phenomenology · Physics 2007-05-23 Thorsten Ohl , Christian Schwinn

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

Motivated by BRST theory, we study generalized symmetries and supersymmetries depending on derivatives of dynamic variables in a most general setting. We state the first variational formula and conservation laws for higher order Lagrangian…

Mathematical Physics · Physics 2007-05-23 G. Giachetta , L. Mangiarotti , G. Sardanashvily

We give a formal proof of the equivalence of Hamiltonian and Lagrangian BRST quantization. This is done for a generic $Sp(2)$-symmetric theory using flat (Darboux) coordinates. A new quantum master equation is derived in a Hamiltonian…

High Energy Physics - Theory · Physics 2015-06-26 K. Bering

In this paper we study the gauge invariance of the third quantized super-group field cosmology which is a model for multiverse. Further, we propose both the nfinitesimal (usual) as well as the finite superfield-dependent BRST symmetry…

General Relativity and Quantum Cosmology · Physics 2015-05-15 Sudhaker Upadhyay

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

Metric independent $\sigma$ models are constructed. These are field theories which generalise the membrane idea to situations where the target space has fewer dimensions than the base manifold. Instead of reparametrisation invariance of the…

High Energy Physics - Theory · Physics 2009-10-22 J. Govaerts , A. Morozov

We provide the geometrical interpretation for the Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry invariance of the Lagrangian density of a four (3 + 1)-dimensional (4D) interacting U(1) gauge theory within the framework of…

High Energy Physics - Theory · Physics 2011-11-18 R. P. Malik

We analyze constrained superfields in supergravity. We investigate the consistency and solve all known constraints, presenting a new class that may have interesting applications in the construction of inflationary models. We provide the…

High Energy Physics - Theory · Physics 2016-03-23 Gianguido Dall'Agata , Fotis Farakos

A superspace formulation for the Batalin Vilkovisky formalism (also called field-antifield quantization ) with extended BRST invariance (BRST and anti-BRST invariance ) for gauge theories with closed algebra is presented. In contrast to a…

High Energy Physics - Theory · Physics 2008-11-26 Nelson R. F. Braga , Sergio M. de Souza