1998/12/31 by S. M. Klishevich, S M Klishevich
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Algebraic number #Black Holes and Theoretical Physics #Curvature #Einstein #Gauge theory #Half-integer #Integer (computer science) #Quantum and Classical Electrodynamics #Riemann curvature tensor #Scalar (mathematics) #Spin (aerodynamics) #Tensor (intrinsic definition) #gr-qc #hep-th
paper · pdf · doi:10.1088/0264-9381/16/9/309
published as Class.Quant.Grav. 16 (1999) 2915-2927 · 15 pages, latex, no figures,minor changes
arxiv created 1999/05/26 · openalex publication_date 1999/08/05 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
We study the propagation of gauge fields with arbitrary integer spins in the symmetrical Einstein space of any dimensionality. We reduce the problem of obtaining a gauge-invariant Lagrangian of integer spin fields in such a background to the algebraic problem of the search for a set of operators with certain features by means of the representation of higher-spin fields in the form of vectors in a pseudo-Hilbert space. We consider such a construction at linear order in the Riemann tensor and scalar curvature and also present an explicit form of interaction Lagrangians and gauge transformations for massive particles of spins 1 and 2 in terms of symmetrical tensor fields.