Unusual Bound States in QFT Models

Details Unusual Bound States in QFT Models Unusual Bound States in QFT Models

2000-07-07

arxiv.org/abs/hep-th/0007059v1

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 4 fugures

Scientific paper

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.

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