Aharonov-Bohm Scattering, Contact Interactions and Scale Invariance

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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9 pages, TEX, CTP#2182

Scientific paper

10.1006/aphy.1994.1013

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.

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