Aharonov-Bohm Scattering, Contact Interactions and Scale Invariance
O. Bergman, G. Lozano
TL;DR
This paper investigates the quantum effects in the Aharonov-Bohm scattering problem, highlighting the necessity of contact interactions for renormalization and identifying conditions where scale invariance is preserved.
Contribution
It provides a one-loop perturbative analysis of the Aharonov-Bohm problem, emphasizing the role of contact interactions and the quantum breaking or preservation of scale invariance.
Findings
Contact interactions are essential for renormalizability.
Quantum effects break classical scale invariance.
A critical point exists where scale invariance is restored.
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.
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