New quantum electrodynamics for vector mesons

1971
13 pages
Published in:
  • Phys.Rev.D 3 (1971) 2448-2460

Citations per year

1972198519982011202401234567
Abstract: (APS)
A quantum electrodynamics for vector mesons with arbitrary magnetic dipole and electric quadrupole moments is constructed in which the vector meson is described by a six-component column matrix satisfying a single equation of motion with no auxiliary condition. To avoid an interaction Hamiltonian which has an infinite number of surface terms, the S matrix is derived directly from Green-function solutions of the equations of motion. In the reduction of the S matrix, terms appear which do not correspond to Feynman-type terms but which vanish if only regularized integrals are used. The Feynman rules are then identical in form to the rules for scalar electrodynamics. A distinct calculational advantage of this theory is that all components of the Fock-space operators are treated on an equal footing and create and destroy particles in definite energy and helicity states. Trace theorems for the covariantly defined spin-1 matrices are given to further facilitate calculations. The same techniques are applied to the electrodynamics of arbitrary-spin particles. A discussion of the renormalization is given: All of the theories are found to be nonrenormalizable.
  • quantum electrodynamics
  • vector meson
  • magnetic moment
  • coupling: electromagnetic
  • electromagnetic: coupling
  • invariance: lorentz
  • s-matrix
  • feynman graph
  • renormalization
  • sum rule