Elementary-Particle Poles in the Bethe-Salpeter Equation
- 25 May 1969
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 181 (5), 2040-2044
- https://doi.org/10.1103/physrev.181.2040
Abstract
An elementary spin-zero particle pole is inserted in the Bethe-Salpeter equation. This gives a non-Regge term in the potential and the scattering amplitude. We present methods for calculating the partial-wave amplitude with emphasis on finding the pole positions. Our methods are tested with a ladder-approximation example. Finally, this puts us in a position to discuss the renormalization constants and of the elementary particle and show how the vanishing of these constants is related to bootstrap conditions.
Keywords
This publication has 4 references indexed in Scilit:
- Field-Theoretic Formulation of the Bootstrap HypothesisPhysical Review B, 1968
- Variational Principles for Crossing-Symmetric Off-Shell EquationsPhysical Review B, 1968
- Bootstrap conditions in field theoryIl Nuovo Cimento A (1971-1996), 1966
- Regge Trajectories versus Vanishing Renormalization Constants as Dynamical CriteriaPhysical Review B, 1965