A Particle Model That Produces Feynman Diagrams: Reexamination of Fundamental Entities, Free Particles, and Background Frames
Abstract
A relativistic quantized particle model avoids difficulties through (1) a Hamiltonian undecomposable into H=H(0)+H(I), (2) a separation of the evolution parameter s from dynamics, (3) "leptons" and "hadrons" composed of "quarks," and (4) the absence of background reference frames. The stringlike Lagrangian is L={[F(Q)]2 [dQ/ds]2+[FdQ/ds]2}1/2. Q(s) defines quark positions; the form of F(Q) determines the interaction. The "strong" Lagrangian is symmetric under quark exchange. Transformation to new quark coordinates "hides" the symmetry. A variational principle for the parametrically invariant action in terms of these coordinates supplies natural boundary conditions (n.b.c.). The resulting symmetry breaking yields "lepton" and "hadron" quarks that behave differently. However, both become "strings" asymptotically. The n.b.c. produce composite massshell constraints and suppress timeoscillations. "Strong" scattering between composites is calculated. The "leptons" behave as free particles. A second choice of F(Q) produces unified "electroweak" interactions. Firstorder perturbation theory is applied to "leptonlepton" scattering. Unperturbed states are asymptotic solutions from separate "strong interaction" clusters. Transforms between position and momentum representations, determined by the n.b.c., eliminate advanced potentials. Scattering amplitudes obey Feynman rules.
 Publication:

arXiv eprints
 Pub Date:
 August 1999
 arXiv:
 arXiv:hepth/9908080
 Bibcode:
 1999hep.th....8080K
 Keywords:

 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Phenomenology
 EPrint:
 65 pages