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A `covariant' field that transforms like a relativistic field operator is required to be a linear combination of `canonical' fields that transform like annihilation and creation operators and with invariant coefficients. The Invariant…

高能物理 - 理论 · 物理学 2007-05-23 Richard Shurtleff

We investigate the axial vector torsion-spin coupling effects in the framework of the Poincar\'e gauge theory of gravity with the general Yang-Mills type Lagrangian. The dynamical equations for the ``electric'' and ``magnetic'' components…

广义相对论与量子宇宙学 · 物理学 2024-10-01 Mariya Iv. Trukhanova , Pavel Andreev , Yuri N. Obukhov

A simplified formalism of first quantized massless fields of any spin is presented. The angular momentum basis for particles of zero mass and finite spin s of the D^(s-1/2,1/2) representation of the Lorentz group is used to describe the…

高能物理 - 理论 · 物理学 2016-02-01 Alexander Gersten , Amnon Moalem

We construct general Wigner rotations for both massive and massless particles in $D$-dimensional spacetime. We work out the explicit expressions of these Wigner rotations for arbitrary Lorentz transformations. We study the relation between…

高能物理 - 理论 · 物理学 2017-12-29 Fa-Min Chen

We consider in detail the most general cubic Lagrangian which describes an interaction between two identical higher spin fieldsin a triplet formulation with a scalar field, all fields having the same values of the mass. After performing the…

高能物理 - 理论 · 物理学 2014-08-19 I. L. Buchbinder , P. Dempster , M. Tsulaia

It is a well-known fact that helicity is a Lorentz-invariant for massless but not for massive particles. Nevertheless, a satisfactory proof of this fact and a detailed analysis on the relative orientation between spin and the momentum are…

高能物理 - 理论 · 物理学 2016-09-08 Cheng-Yang Lee

Dynamics of four-dimensional massless fields of all spins is formulated in the Siegel space of complex $4\times 4$ symmetric matrices. It is shown that the unfolded equations of free massless fields, that have a form of multidimensional…

高能物理 - 理论 · 物理学 2009-10-21 O. A. Gelfond , M. A. Vasiliev

It is shown that the Schrodinger symmetry algebra of a free particle in d spatial dimensions can be embedded into a representation of the higher-spin algebra. The latter spans an infinite dimensional algebra of higher-order symmetry…

高能物理 - 理论 · 物理学 2016-07-27 Mauricio Valenzuela

Using Wigner-deformed Heisenberg oscillators, we construct 3D Chern--Simons models consisting of fractional-spin fields coupled to higher-spin gravity and internal non-abelian gauge fields. The gauge algebras consist of Lorentz-tensorial…

高能物理 - 理论 · 物理学 2015-06-18 Nicolas Boulanger , Per Sundell , Mauricio Valenzuela

This paper is a continuation of our previous work in which we studied a dispersionless limits of some integrable spin systems (magnetic equations). Now, we shall present dispersionless limits of some integrable generalized Heisenberg…

可精确求解与可积系统 · 物理学 2019-03-25 Zhaidary Myrzakulova , Gulgassyl Nugmanova , Kuralay Yesmakhanova , Ratbay Myrzakulov

Free massive higher spin fields in weak background gravitational fields are discussed. Contrary to the spin one case, higher spin fields should have nontrivial non-minimal couplings to the curvature. A precise analysis is given for the spin…

高能物理 - 理论 · 物理学 2016-07-01 Masafumi Fukuma , Hikaru Kawai , Katsuta Sakai , Junji Yamamoto

(Talk presented at the 7th Marcel Grossmann Meeting on General Relativity, Stanford, CA, July 24-30, 1994) We study the semi-classical limit of the solution of the Dirac equation in a background electromagnetic/gravitational plane wave. We…

高能物理 - 理论 · 物理学 2007-05-23 Stamatis Vokos

We show that the spin-2 equations on Minkowski space in the gauge of the `regular finite initial value problem at space-like infinity' imply estimates which, together with the transport equations on the cylinder at space-like infinity,…

广义相对论与量子宇宙学 · 物理学 2017-08-23 Helmut Friedrich

There is ambitious pretension formulated by Weinberg \cite{W} that {\it any relativistic quantum theory will look at sufficiently low energy like a quantum field theory.} It is based on the observation that for formulation of quantum field…

高能物理 - 理论 · 物理学 2024-10-17 B. Sazdović

Kerr-Schild double copy is shown to extend naturally to all free symmetric gauge fields propagating on $(A)dS$ in any dimension. Similarly to the standard lower-spin case, the higher-spin multicopy comes along with the zeroth, single, and…

高能物理 - 理论 · 物理学 2023-03-01 V. E. Didenko , N. K. Dosmanbetov

We derive an asymptotic solution of the Einstein field equations which describes the propagation of a thin, large amplitude gravitational wave into a curved space-time. The resulting equations have the same form as the colliding plane wave…

偏微分方程分析 · 数学 2009-10-31 G. Ali , J. K. Hunter

In this article we quantize (massive) higher spin ($1\leq j\leq2$) fields by means of Dirac's Constrained Hamilton procedure both in the situation were they are totally free and were they are coupled to (an) auxiliary field(s). A full…

高能物理 - 理论 · 物理学 2013-05-29 J. W. Wagenaar , T. A. Rijken

A gauge-invariant Wigner quantum mechanical theory is obtained by applying the Weyl-Stratonovich transform to the von Neumann equation for the density matrix. The transform reduces to the Weyl transform in the electrostatic limit, when the…

数学物理 · 物理学 2022-11-24 Mihail Nedjalkov , Mauro Ballicchia , Robert Kosik , Josef Weinbub

We give a systematic account of unconstrained free bosonic higher-spin fields on D-dimensional Minkowski and (Anti-)de Sitter spaces in the frame formalism. The generalized spin connections are determined by solving a chain of torsion-like…

高能物理 - 理论 · 物理学 2009-06-11 Johan Engquist , Olaf Hohm

Using unfolded formulation of free equations for massless fields of all spins we obtain explicit form of higher-spin conformal conserved charges bilinear in 4d massless fields of arbitrary spins.

高能物理 - 理论 · 物理学 2008-11-26 O. A. Gelfond , E. D. Skvortsov , M. A. Vasiliev