Solving the Bethe-Salpeter equation for bound states of scalar theories in Minkowski space
- Department of Physics, Tokyo Metropolitan University, Minami-Osawa 1-1, Hachioji-shi, Tokyo 192-03 (Japan)
- Department of Physics and Mathematical Physics, University of Adelaide, South Australia 5005 (Australia)
We apply the perturbation theory integral representation to solve for the bound state Bethe-Salpeter (BS) vertex for an {ital arbitrary} scattering kernel, without the need for any Wick rotation. The results derived are applicable to any scalar field theory (without derivative coupling). It is shown that solving directly for the BS vertex, rather than the BS amplitude, has several major advantages, notably its relative simplicity and superior numerical accuracy. In order to illustrate the generality of the approach we obtain numerical solutions using this formalism for a number of scattering kernels, including cases where the Wick rotation is not possible. {copyright} {ital 1997} {ital The American Physical Society}
- OSTI ID:
- 632702
- Journal Information:
- Physical Review, D, Journal Name: Physical Review, D Journal Issue: 8 Vol. 56; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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