Unusual Bound States in QFT Models
Abstract
Homogeneous Bethe-Salpeter equation for simplest Wick-Cutkosky model is studied in the case when the mass of the two-body system is more then the sum of constituent particles masses. It is shown that there is always a small attraction between the like-sigh charged particles as a pure relativistic effect. If the coupling constant exceeds some critical values there arise discrete levels.The situation here is analogous to the so-called "abnormal" solutions.The signature of the norm of these discrete states coincides with the "time-parity".The states with the negative norms can be excluded from the physical sector-the one-time (quasipotential) wave-function corresponding to them vanishes identically.However the positive norm states survive and contribute to the total Green function (and the S-matrix) with the proper sign.
Cite
@article{arxiv.hep-th/0007059,
title = {Unusual Bound States in QFT Models},
author = {A. A. Khelashvili},
journal= {arXiv preprint arXiv:hep-th/0007059},
year = {2007}
}
Comments
12 pages, 4 fugures