2002/10/28 by Eyal Gilboa, Gilboa, Eyal
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons #Nuclear Theory (nucl-th) #Quantum and Classical Electrodynamics #hep-th #nucl-th
paper · pdf · doi:10.48550/arxiv.nucl-th/0210083
26 pages. Presented at the Dirac Centenary Conference, Baylor University, 10/01/02
arxiv created 2002/10/28 · openalex publication_date 2002/10/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We construct an infinite component relativistic wave equation which is a linear first order differential equation identical in form to a Dirac like equation, describing composite fields possessing multiple spin and energy states. The main motivation for such a construction is to give a description of Hadronic fields moving along their so called Regge Trajectories, however this may be generalized to other composite fields. In order to construct the equation so that it may accommodate physical states the concept of Spin Frames is introduced, and it is found that such an equation may propagate physical fields whose spin states differ by two units of angular momentum namely ΔJ=2. The solution for the free field case is given by boosting a rest frame spinor with the infinite dimensional Lorentz Boost which are constructed as well. Finally we discuss the relevance of the groups GL(4R), and GL(3,1,R) and their appearance with regards to the wave equation at hand.