期刊
PHYSICS LETTERS B
卷 769, 期 -, 页码 418-423出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physletb.2017.04.016
关键词
Bethe-Salpeter equation; Nakanishi representation; Light-Front
资金
- Fundacao de Amparo a Pesquisa do Estado de Sdo Paulo (FAPESP) [2015/22701-6]
The bound state Bethe-Salpeter amplitude was expressed by Nakanishi using a two-dimensional integral representation, in terms of a smooth weight function g, which carries the detailed dynamical information. A similar, but one-dimensional, integral representation can be obtained for the Light-Front wave function in terms of the same weight function g. By using the generalized Stieltjes transform, we first obtain g in terms of the Light-Front wave function in the complex plane of its arguments. Next, a new integral equation for the Nakanishi weight function g is derived for a bound state case. It has the standard form g = N g, where N is a two-dimensional integral operator. We give the prescription for obtaining the kernel N starting with the kernel K of the Bethe-Salpeter equation. The derivation is valid for any kernel given by an irreducible Feynman amplitude. (C) 2017 The Author(s). Published by Elsevier B.V.
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