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Related papers: Faddeev-Jackiw quantization of spin-2 field

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The four dimensional SU(3) WZW model coupled to electromagnetism is treated as a constrained system in the context of Batalin-Fradkin- Vilkovisky formalism. It is shown that this treatment is equivalent to the Faddeev-Jackiw (FJ) approach.…

High Energy Physics - Theory · Physics 2007-05-23 J. E. Paschalis , P. I. Porfyriadis

We deduce the constraint structure and subsequently quantize a free particle system residing on a torus satisfying the geometric constraint $(r-a)=0$, within the framework of modified Faddeev-Jackiw formalism. Further, we reformulate the…

High Energy Physics - Theory · Physics 2021-09-10 Anjali S , Saurabh Gupta

The equivalence between the Dirac method and Faddeev-Jackiw analysis for gauge theories is proved. In particular we trace out, in a stage by stage procedure, the standard classification of first and second class constraints of Dirac's…

High Energy Physics - Theory · Physics 2015-06-26 J. Antonio García , Josep M. Pons

A detailed Dirac's and Faddeev-Jackiw quantization of Bonzom-Livine model describing gravity in three dimensions is performed. The full structure of the constraints, the gauge transformations and the generalized Faddeev-Jackiw brackets are…

Mathematical Physics · Physics 2016-11-08 Alberto Escalante , Jaime Manuel Cabrera

We present a coordinate-free background space construction of Euclidean Jackiw-Teitelboim gravity. It is written as a gauge theory that utilizes the Killing vectors and conformal Killing vectors of a hyperboloid embedded in a three…

High Energy Physics - Theory · Physics 2024-10-15 A. Pinzul , A. Stern , Chuang Xu

It is shown that a symmetric massless bosonic higher-spin field can be described by a traceless tensor field with reduced (transverse) gauge invariance. The Hamiltonian analysis of the transverse gauge invariant higher-spin models is used…

High Energy Physics - Theory · Physics 2008-11-26 E. D. Skvortsov , M. A. Vasiliev

We propose a modified version of the Faddeev-Popov quantization approach for non-Abelian gauge field theory to avoid the Gribov ambiguity. We show that by means of introducing a new method to insert the correct identity into the Yang-Mills…

High Energy Physics - Theory · Physics 2021-09-22 Chong-yao Chen , Fei Gao , Yu-xin Liu

We study the Hamiltonian approach to 1+1 dimensional Yang-Mills theory in Coulomb gauge, considering both the pure Coulomb gauge and the gauge where in addition the remaining constant gauge field is restricted to the Cartan algebra. We…

High Energy Physics - Theory · Physics 2008-10-22 H. Reinhardt , W. Schleifenbaum

In order to construct a massive tensor theory with a smooth massless limit, we apply the Batalin-Fradkin algorithm to the ordinary massive tensor theory. By introducing an auxiliary vector field all second-class constraints are converted…

High Energy Physics - Theory · Physics 2009-10-28 Shinji Hamamoto

We present the consistent theory of a free massive spin-2 field with 5 degrees of freedom propagating in spacetimes with an arbitrary geometry. We obtain this theory via linearizing the equations of the ghost-free massive gravity expressed…

High Energy Physics - Theory · Physics 2018-07-18 Charles Mazuet , Mikhail S. Volkov

This paper is the first in a series revisiting the Faraday effect, or more generally, the theory of electronic quantum transport/optical response in bulk media in the presence of a constant magnetic field. The independent electron…

Mesoscale and Nanoscale Physics · Physics 2008-11-26 Horia D. Cornean , G. Nenciu , Thomas G. Pedersen

In this work we will show that it is possible to construct totally noncommuta tivity in the cas of massive bosonic string in an external B-field by extending the well known Faddeev-Jackiw formalism proposed by L.D. Faddeev and R. Jackiw.

Mathematical Physics · Physics 2018-12-24 Najim Mansour , El Yamani Diaf , Moulay Brahim Sedra

A simple example is given of the implementation of the usual method of asymptotic expansions for weak gravitational fields. A scalar, preferred-frame theory of gravitation is considered, but the method is general. Two kinds of asymptotic…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Mayeul Arminjon

Recently a new model has been proposed to describe free massive spin-2 particles in $D$ dimensions in terms of a non symmetric rank-2 tensor $e_{\mu\nu}$ and a mixed symmetry tensor $B^{\mu[\alpha\beta]}$. The model is invariant under…

High Energy Physics - Theory · Physics 2022-02-02 Alessandro L. R. dos Santos , Denis Dalmazi , Wayne de Paula

In this paper we investigate electromagnetic interactions for simplest massive mixed symmetry field. Using frame-like gauge invariant formulation we extend Fradkin-Vasiliev procedure, initially proposed for investigation of gravitational…

High Energy Physics - Theory · Physics 2011-03-28 Yu. M. Zinoviev

We show that, in contrast to known results in the massive case, a minimally gauged massless Rarita-Schwinger field yields a consistent classical theory, with a generalized fermionic gauge invariance realized as a canonical transformation.…

High Energy Physics - Theory · Physics 2016-01-05 Stephen L. Adler

We employ multiple-scale analysis to systematically derive analytical approximations describing the cosmological propagation of gravitational waves beyond general relativity, in a framework with two interacting spin-2 fields with…

General Relativity and Quantum Cosmology · Physics 2025-11-25 Marco de Cesare , Mairi Sakellariadou , Benjamin Sutton

The gravitational field with spin-2 is introduced naturally by the requirement that the Lagrangian is locally translation invariant in Minkowski spacetime. The interactions between the gravitational field and spin-1/2, 0, 1 matter fields…

General Relativity and Quantum Cosmology · Physics 2023-09-22 Hang Li , P. Wang

We report a no-go theorem excluding consistent cross-couplings for a collection of massless, spin-2 fields described, in the free limit, by the sum of Pauli-Fierz actions (one for each field). We show that, in spacetime dimensions >2, there…

High Energy Physics - Theory · Physics 2007-05-23 Nicolas Boulanger , Thibault Damour , Leonardo Gualtieri , Marc Henneaux

The symplectic analysis for the four dimensional Pontryagin and Euler invariants is performed within the Faddeev-Jackiw context. The Faddeev-Jackiw constraints and the generalized Faddeev-Jackiw brackets are reported; we show that in spite…

High Energy Physics - Theory · Physics 2018-04-04 Alberto Escalante , Carlos Medel-Portugal