2015/02/05 by G. Bandelloni, Giuseppe Bandelloni
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Classical mechanics #Covariant transformation #Diffeomorphism #Equations of motion #Group (periodic table) #Group field theory #Invariant (physics) #Massless particle #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Poincaré group #Pure mathematics #Quantum #Quantum field theory #Quantum gravity #Quantum mechanics #Spin (aerodynamics) #Theoretical physics #Thermal quantum field theory #hep-th
paper · pdf · doi:10.1142/s0219887815500541
to appear on IJMMP
arxiv created 2015/02/05 · openalex publication_date 2015/03/06 · arxiv updated 2015/06/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study a very general four-dimensional field theory model describing the dynamics of a massless higher spin N symmetric tensor field particle interacting with a geometrical background. This model is invariant under the action of an extended linear diffeomorphism. We investigate the consistency of the equations of motion, and the highest spin degrees of freedom are extracted by means of a set of covariant constraints. Moreover, the highest spin equations of motions (and in general all the highest spin field 1-PI irreducible Green functions) are invariant under a chain of transformations induced by a set of N - 2 Ward operators, while the auxiliary fields equations of motion spoil this symmetry. The first steps to a quantum extension of the model are discussed on the basis of the algebraic field theory. Technical aspects are reported in Appendices, in particular, one of them is devoted to illustrate the spin-2 case.