Level-Crossing in the Instanton-Anti-Instanton Valley

Details Level-Crossing in the Instanton-Anti-Instanton Valley Level-Crossing in the Instanton-Anti-Instanton Valley

1993-06-17

arxiv.org/abs/hep-ph/9306284v1

Phys. Lett. B333 (1994) 104-109

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 Pages with one figure (PS) appended, GEF-Th-14/1993

Scientific paper

10.1016/0370-2693(94)91014-6

We study the level crossing of the fermion system described by the euclidean Dirac Hamiltonian in the valley background. One chiral fermion level is shown to cross twice the zero value in the case of well-separated instanton-anti-instanton background. Below a critical separation, however, level crossings are absent. The phenomenon can be interpreted as the transition to a gauge field configuration of purely perturbative nature, below a critical instanton-anti-instanton separation. In the context of high-energy electroweak interactions, our findings seem to definitely invalidate some optimistic argument concerning the observability of baryon number violation based on the use of the optical theorem in conjunction with the valley fields.

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