Toward an Infinitecomponent Field Theory with a Double Symmetry: Interaction of Fields
Abstract
We complete the first stage of constructing a theory of fields not investigated before; these fields transform according to Lorentz group representations decomposable into an infinite direct sum of finitedimensional irreducible representations. We consider only those theories that initially have a double symmetry: relativistic invariance and the invariance under the transformations of a secondary symmetry generated by the polar or the axial fourvector representation of the orthochronous Lorentz group. The high symmetry of the theory results in an infinite degeneracy of the particle mass spectrum with respect to spin. To eliminate this degeneracy, we postulate a spontaneous secondarysymmetry breaking and then solve the problems on the existence and the structure of nontrivial interaction Lagrangians.
 Publication:

arXiv eprints
 Pub Date:
 October 2002
 DOI:
 10.48550/arXiv.hepth/0210120
 arXiv:
 arXiv:hepth/0210120
 Bibcode:
 2002hep.th...10120S
 Keywords:

 High Energy Physics  Theory
 EPrint:
 13 pages, LaTeX, no figures