Continued-fraction representation of propagator functions in a Bethe-Salpeter model
Using the well-known relation between the vertex function and the Bethe-Salpeter amplitude and knowledge of the bound-state energy eigenvalues of the Bethe-Salpeter equation, a continued fraction representation for the modified meson propagator D'F is obtained. The Bethe-Salpeter equation for the nucleon-antinucleon problem with a massless-pseudoscalar-meson coupling is solved in a certain approximation, and the corresponding energy eigenvalues are determined through a continued-fraction technique. We have considered the nucleon both as a Dirac particle and also as a scalar particle. The analytic properties of the continued fraction are discussed and the existence of a Lehmann spectral-function representation for the D'F obtained in the approximation is shown. (auth)
- Research Organization:
- Department of Physics and Astrophysics, University of Delhi, Delhi 110007, India
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-29-023349
- OSTI ID:
- 4312147
- Journal Information:
- Phys. Rev., D, v. 8, no. 10, pp. 3626-3632, Other Information: Orig. Receipt Date: 30-JUN-74
- Country of Publication:
- United States
- Language:
- English
Similar Records
Gap and Bethe-Salpeter equations in Hamiltonian lattice QCD with Wilson fermions
NORMALIZATION CONDITION FOR THE BETHE-SALPETER WAVE FUNCTION AND A FORMAL SOLUTION TO THE BETHE-SALPETER EQUATION