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We obtain the off-shell nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations (corresponding to the infinitesimal classical gauge symmetry transformations) for the modified massive three $(2+1)$-dimensional (3D)…

High Energy Physics - Theory · Physics 2025-07-08 S. K. Panja , E. Harikumar , R. P. Malik

We give an introduction to rigid supersymmetry, supergravity and superspace by considering a quantum mechanical model. We analyze the constraints in superspace in this simplified model, and compare the Hamiltonian and Lagrangian BRST…

High Energy Physics - Theory · Physics 2007-05-23 Peter van Nieuwenhuizen

A framework for background independent open-string field theory is proposed. The approach involves using the BV formalism -- in a way suggested by recent developments in closed-string field theory -- to implicitly define a gauge invariant…

High Energy Physics - Theory · Physics 2010-04-07 Edward Witten

We provide a systematic BRST formalism for the soft-collinear effective theory describing interactions of soft and collinear degrees of freedom in the presence of a hard interaction. In particular, we develop full BRST symmetry…

High Energy Physics - Theory · Physics 2021-07-28 Sudhaker Upadhyay , Bhabani Prasad Mandal

We develop a general gauge invariant Lagrangian construction for half-integer higher spin fields in the AdS space of any dimension. Starting with formulation in terms of auxiliary Fock space we derive the closed nonlinear symmetry algebras…

High Energy Physics - Theory · Physics 2008-11-26 I. L. Buchbinder , V. A. Krykhtin , A. A. Reshetnyak

By explicit calculation of the effect of a ghost-dependent canonical transformation of BRST-charge, we derive the corresponding transformation law for structure coefficients of hamiltonian gauge algebra under rotation of constraints.We show…

High Energy Physics - Theory · Physics 2010-11-05 Igor Batalin , Igor Tyutin

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

The quantization of spontaneously broken gauge theories in noncommutative geometry(NCG) has been sought for some time, because quantization is crucial for making the NCG approach a reliable and physically acceptable theory. Lee, Hwang and…

High Energy Physics - Theory · Physics 2014-11-18 Yoshitaka Okumura

The BRST quantization of particle motion on the hypersurface $V_{(N-1)}$ embedded in Euclidean space $R_N$ is carried out both in Hamiltonian and Lagrangian formalism. Using Batalin-Fradkin-Fradkina-Tyutin (BFFT) formalism, the second class…

High Energy Physics - Theory · Physics 2022-05-30 Vipul Kumar Pandey

We derive the various forms of BRST symmetry using Batalin-Fradkin-Vilkovisky approach in the case of Abelian 2-form gauge theory. We show that the so-called dual BRST symmetry is not an independent symmetry but the generalization of BRST…

High Energy Physics - Theory · Physics 2011-05-12 Sumit Kumar Rai , Bhabani Prasad Mandal

Using the technique of finite field dependent BRST transformations we show that the classical massive Yang-Mills theory and the pure Yang-Mills theory whose gauge symmetry is broken by a gauge fixing term are identical from the view point…

High Energy Physics - Theory · Physics 2009-10-31 Rabin Banerjee , Bhabani Prasad Mandal

We explore a new possibility of BRST construction in higher spin field theory to obtain a consistent Lagrangian for massive spin-2 field in Einstein space. Such approach automatically leads to gauge invariant Lagrangian with suitable…

High Energy Physics - Theory · Physics 2010-05-12 I. L. Buchbinder , V. A. Krykhtin , P. M. Lavrov

A dynamical non-Abelian 2-form gauge theory (with B \wedge F term) is endowed with the "scalar" and "vector" gauge symmetry transformations. In our present endeavor, we exploit the latter gauge symmetry transformations and perform the…

High Energy Physics - Theory · Physics 2011-08-03 R. Kumar , R. P. Malik

A new generalization of the vector Schwinger model is considered where gauge symmetry is broken at the quantum mechanical level. By proper extension of the phase space this broken symmetry has been restored. Also an equivalent first class…

High Energy Physics - Theory · Physics 2007-05-23 Anisur Rahaman

Very special relativity (VSR) keeps the main features of special relativity but breaks rotational invariance due to an intrinsic preferred direction. We study the VSR modified extended BRST and anti-BRST symmetry of the Batalin-Vilkovisky…

High Energy Physics - Theory · Physics 2017-03-20 Sudhaker Upadhyay , Mushtaq B. Shah , Prince A. Ganai

We present an alternative quantization for irreducible open gauge theories. The method relies on the possibility of modifying the classical BRST operator and the gauge-fixing action written as in Yang-Mills type theories, in order to obtain…

High Energy Physics - Theory · Physics 2009-11-07 N. Djeghloul , M. Tahiri

A representation of a subgroup H of a finite-dimensional group G can be used to induce a nonlinear realization of G. If the nonlinearly realized symmetry is gauged, then the BRST charge can be related by a similarity transformation to the…

High Energy Physics - Theory · Physics 2009-10-28 I. N. McArthur

In the Batalin - Fradkin - Vilkovisky approach to quantization of gauge theories a principal role is given to the BRST charge which can be constructed as a series in Grassmannian (ghost) variables with coefficients given by generalized…

General Relativity and Quantum Cosmology · Physics 2015-04-09 T. P. Shestakova

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

We derive the off-shell nilpotent and absolutely anticommuting (anti-)BRST symmetry transformations for any arbitrary D-dimensional St$\ddot u$ckelberg-modified massive Abelian 3-form theory within the framework of augmented version of…

High Energy Physics - Theory · Physics 2022-08-24 A. K. Rao , R. P. Malik