Anomalies without Massless Particles

Details Anomalies without Massless Particles Anomalies without Massless Particles

1993-11-24

arxiv.org/abs/hep-ph/9311361v1

Phys.Rev. D49 (1994) 4873-4881

Physics

High Energy Physics

High Energy Physics - Phenomenology

(26 pages, 3 figures, uses harvmac and uufiles), UCSD/PTH 93-33

Scientific paper

10.1103/PhysRevD.49.4873

Baryon and lepton number in the standard model are violated by anomalies, even though the fermions are massive. This problem is studied in the context of a two dimensional model. In a uniform background field, fermion production arise from non-adiabatic behavior that compensates for the absence of massless modes. On the other hand, for localized instanton-like configurations, there is an adiabatic limit. In this case, the anomaly is produced by bound states which travel across the mass gap. The sphaleron corresponds to a bound state at the halfway point.

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