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In this paper we analyse the Bagger-Lambert-Gustavsson (BLG) theory in $\mathcal{N} =1$ superspace. Furthermore, we will construct the BRST transformations for this theory. These BRST transformations will be integrated out to obtain the…

高能物理 - 理论 · 物理学 2015-06-12 Mir Faizal , Bhabani P Mandal , Sudhaker Upadhyay

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

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…

高能物理 - 理论 · 物理学 2022-05-30 Vipul Kumar Pandey

We develop the BRST approach for all massless integer and half-integer higher spins in 4D Minkowski space, using the two component spinor nota- tion and develop the Lagrangian formulation for supersymmetric higher spin models. It is shown…

高能物理 - 理论 · 物理学 2016-01-27 I. L. Buchbinder , K. Koutrolikos

We illustrate the cosmological Friedmann-Robertson-Walker (FRW) models realized as gauge theory in the extended configuration space with its Becchi-Rouet-Stora-Tyutin (BRST) invariance upto total derivative. To investigate the model in…

广义相对论与量子宇宙学 · 物理学 2015-10-01 Sudhaker Upadhyay

The finite field dependent BRST (FFBRST) technique generally interrelates two different gauge fixed theories. Here we propose a new and unique FFBRST transformation that transforms the effective theory in Lorenz gauge, which represents…

高能物理 - 理论 · 物理学 2022-06-13 Haresh Raval , Bhabani Prasad Mandal

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…

高能物理 - 理论 · 物理学 2007-05-23 Peter van Nieuwenhuizen

Lagrangian descriptions of irreducible and reducible integer higher-spin representations of the Poincare group subject to a Young tableaux $Y[\hat{s}_1,\hat{s}_2]$ with two columns are constructed within a metric-like formulation in a…

高能物理 - 理论 · 物理学 2017-03-21 Alexander A. Reshetnyak

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…

高能物理 - 理论 · 物理学 2008-11-26 R. P. Malik

We apply the BRST approach, previously developed for higher spin field theories, to gauge invariant Lagrangian construction for antisymmetric massive and massless bosonic fields in arbitrary d-dimensional curved space. The obtained theories…

高能物理 - 理论 · 物理学 2009-03-31 I. L. Buchbinder , V. A. Krykhtin , L. L. Ryskina

BRST formulation of cohomological Hamiltonian mechanics is presented. In the path integral approach, we use the BRST gauge fixing procedure for the partition function with trivial underlying Lagrangian to fix symplectic diffeomorphism…

高能物理 - 理论 · 物理学 2007-05-23 A. K. Aringazin , V. V. Arkhipov , A. S. Kudusov

In this paper, we show the compatibility of the so-called "dressing field method", which allows a systematic reduction of gauge symmetries, with the inclusion of diffeomorphisms in the BRST algebra of a gauge theory. The robustness of the…

数学物理 · 物理学 2016-10-24 Jordan François , Serge Lazzarini , Thierry Masson

In the framework of superfield formalism, we demonstrate the existence of a new local, covariant, continuous and nilpotent (dual-BRST) symmetry for the BRST invariant Lagrangian density of a self-interacting two ($1 + 1$)-dimensional (2D)…

高能物理 - 理论 · 物理学 2011-07-19 R. P. Malik

In this paper we discuss the (anti-)BRST symmetries and $W$-algebra of higher derivative theories of relativistic particles satisfying general gauge conditions. Using this formalism, the connection between the (anti-)BRST symmetries and…

高能物理 - 理论 · 物理学 2013-09-18 Rabin Banerjee , Biswajit Paul , Sudhaker Upadhyay

In this paper we analyse the ABJM theory in ${\cal N}=1$ superspace. Firstly we study the linear and non-linear BRST transformations for the ABJM theory. Then we derive the finite field dependent version of these BRST (FFBRST)…

高能物理 - 理论 · 物理学 2014-10-07 Mir Faizal , Sudhaker Upadhyay , 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

This article, which is a review with substantial original material, is meant to offer a comprehensive description of the superfield representations of the BRST and anti-BRST algebras and their applications to some field-theoretic topics.…

高能物理 - 理论 · 物理学 2021-08-12 L. Bonora , R. P. Malik

Using the BRST--BV approach, we consider totally symmetric arbitrary integer spin conformal fields propagating in flat space. For such fields, we obtain the ordinary-derivative BRST--BV Lagrangian that is invariant under gauge…

高能物理 - 理论 · 物理学 2016-03-31 R. R. Metsaev

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…

高能物理 - 理论 · 物理学 2015-02-20 Biswajit Paul

We provide a BRST symmetric version of Yokoyama's Type I gaugeon formalism for quantum electrodynamics; the similar theory by Izawa can be considered as a BRST symmetrized Type II theory. With the help of the BRST symmetry, Yokoyama's…

高能物理 - 理论 · 物理学 2011-04-15 M. Koseki , M. Sato , R. Endo
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