Aharonov-Bohm Scattering, Contact Interactions and Scale Invariance

Abstract

We perform a perturbative analysis of the Aharonov-Bohm problem to one loop in a field-theoretic formulation, and show that contact interactions are necessary for renormalizability. In general, the classical scale invariance of this problem is broken quantum mechanically. There exists however a critical point for which this anomaly disappears.

9 pages, TEX, CTP#2182

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