Solving the Bethe-Salpeter equation for scalar theories in Minkowski space
- Department of Physics and Mathematical Physics, University of Adelaide, South Australia 5005 (Australia)
The Bethe-Salpeter (BS) equation for scalar-scalar bound states in scalar theories without a derivative coupling is formulated and solved in Minkowski space. This is achieved using the perturbation theory integral representation, which allows these amplitudes to be expressed as integrals over weight functions and known singularity structures and hence allows us to convert the BS equation into an integral equation involving weight functions. We obtain numerical solutions using this formalism for anumber of scattering kernels to illustrate the generality of the approach. It applies even when the naive Wick rotation is invalid. As a check we verify, for example, that this method applied to the special case of the massive ladder exchange kernel reproduces the same results as are obtained by Wick rotation.
- OSTI ID:
- 55221
- Journal Information:
- Physical Review, D, Journal Name: Physical Review, D Journal Issue: 12 Vol. 51; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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