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We present an exhaustive BRST lagrangian description of partially massless bosonic fields in four-dimensional space. The basic fields are formulated in terms of two-component spin-tensors in (A)dS space where the tracelessness conditions…

High Energy Physics - Theory · Physics 2026-03-24 I. L. Buchbinder , S. A. Fedoruk , V. A. Krykhtin

We construct a Lagrangian description of irreducible half-integer higher-spin representations of the Poincare group with the corresponding Young tableaux having two rows, on a basis of the BRST approach. Starting with a description of…

High Energy Physics - Theory · Physics 2019-04-04 P. Yu. Moshin , A. A. Reshetnyak

Totally symmetric arbitrary spin massless and massive fields in AdS space are studied. For such fields, we obtain Lagrangians which are invariant under global BRST transformations. The Lagrangians are used for computation of partition…

High Energy Physics - Theory · Physics 2015-01-13 R. R. Metsaev

In perturbative quantum gravity, the sum of the classical Lagrangian density, a gauge fixing term and a ghost term is invariant under two sets of supersymmetric transformations called the BRST and the anti-BRST transformations. In this…

General Relativity and Quantum Cosmology · Physics 2011-01-25 Mir Faizal

We demonstrate a few striking similarities and some glaring differences between (i) the free four (3 + 1)-dimensional (4D) Abelian 2-form gauge theory, and (ii) the anomalous two (1 + 1)-dimensional (2D) Abelian 1-form gauge theory, within…

High Energy Physics - Theory · Physics 2010-01-06 S. Gupta , R. Kumar , R. P. Malik

We derive the off-shell nilpotent (fermionic) (anti-)BRST symmetry transformations by exploiting the (anti-)chiral superfield approach (ACSA) to Becchi-Rouet-Stora-Tyutin (BRST) formalism for the interacting Abelian 1-form gauge theories…

High Energy Physics - Theory · Physics 2018-01-30 B. Chauhan , S. Kumar , R. P. Malik

We consider a certain local generalization of BRS transformations of Yang-Mills theory in which the anti-commuting parameter is space time dependent. While these are not exact symmetries, they do lead to a new nontrivial WT identity. We…

High Energy Physics - Theory · Physics 2007-05-23 Satish D. Joglekar , Bhabani Prasad Mandal

We discuss the (dual-)gauge transformations for the gauge-fixed Lagrangian density and establish their intimate connection with the translation subgroup T(2) of the Wigner's little group for the free one-form Abelian gauge theory in four…

High Energy Physics - Theory · Physics 2011-07-19 R. P. Malik

We present a novel proposal for the effective Lagrangian of the low-energy Yang--Mills quantum field theory. The proposed effective Lagrangian exhibits the spontaneous BRST symmetry breaking. We built the Fujikawa model that we couple to…

High Energy Physics - Theory · Physics 2026-04-01 Angelo Raffaele Fazio , Adam Smetana

We consider massive half-integer higher spin fields coupled to an external constant electromagnetic field in flat space of an arbitrary dimension and construct a gauge invariant Lagrangian in the linear approximation in the external field.…

High Energy Physics - Theory · Physics 2015-05-05 I. L. Buchbinder , V. A. Krykhtin , M. Tsulaia

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

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

The BRST transformations for the Yang-Mills gauge fields in the presence of gravity described by Ashtekar variables are obtained by using the so-called Maurer-Cartan horizontality conditions. The BRST cohomology group expressed by the…

High Energy Physics - Theory · Physics 2007-05-23 O. Moritsch , M. Schweda , T. Sommer , L. Tataru , H. Zerrouki

In this paper we show how the BRST quantization can be applied to systems possessing only second-class constraints through their conversion to some first-class ones starting with our method exposed in [Nucl.Phys. B456 (1995)473]. Thus, it…

High Energy Physics - Theory · Physics 2009-10-28 C. Bizdadea , S. O. Saliu

The weak-scale $U(1)_{Y}$ Abelian Higgs Model (AHM) is the spontaneous-symmetry-breaking gauge theory of a complex scalar $\phi = \frac{1}{\sqrt{2}}(H + i \pi)$ and a vector $A_{\mu}$. Global $U(1)_{Y}\otimes BRST$ symmetry emerges: when it…

High Energy Physics - Phenomenology · Physics 2018-04-18 Özenç Güngör , Bryan W. Lynn , Glenn D. Starkman

General structure of BRST-invariant constraint algebra is established, in its commutator and antibracket forms, by means of formulation of algebra-generating equations in yet more extended phase space. New ghost-type variables behave as…

High Energy Physics - Theory · Physics 2009-11-10 Igor Batalin , Igor Tyutin

We derive the local, covariant, continuous, anticommuting and off-shell nilpotent (anti-)BRST symmetry transformations for the interacting U(1) gauge theory of quantum electrodynamics (QED) in the framework of augmented superfield approach…

High Energy Physics - Theory · Physics 2009-01-07 R. P. Malik

Yang-Mills models with compact gauge group coupled to matter fields are considered. The general tools developed in a companion paper are applied to compute the local cohomology of the BRST differential $s$ modulo the exterior spacetime…

High Energy Physics - Theory · Physics 2008-11-26 G. Barnich , F. Brandt , M. Henneaux

In this letter we argue that instanton-dominated Green's functions in N=2 Super Yang-Mills theories can be equivalently computed either using the so-called constrained instanton method or making reference to the topological twisted version…

High Energy Physics - Theory · Physics 2009-10-31 D. Bellisai , F. Fucito , A. Tanzini , G. Travaglini

We derive the off-shell nilpotent and absolutely anticommuting Becchi-Rouet-Stora-Tyutin (BRST) as well as anti-BRST transformations s_{(a)b} corresponding to the Yang-Mills gauge transformations of 3D Jackiw-Pi model by exploiting the…

High Energy Physics - Theory · Physics 2014-12-23 Saurabh Gupta