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Renormalization group flow of the Aharonov-Bohm scattering amplitude
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DOI：10.1016/j.aop.2018.09.001.png)
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Abstract
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The Aharonov-Bohm elastic scattering with incident particles described by plane waves is revisited by using the phase-shifts method. The formal equivalence between the cylindrical Schrodinger equation and the one-dimensional Calogero problem allows us to show that up to two scattering phase-shifts modes in the cylindrical waves expansion must be renormalized. The renormalization procedure introduces new length scales giving rise to spontaneous breaking of the conformal symmetry. The knowledge of the exact beta function permits us to describe the renormalization group flows within the two-parametric family of renormalized Aharonov-Bohm scattering amplitudes. (C) 2018 Elsevier Inc. All rights reserved.
Keywords:
Aharonov-Bohm effect
Renormalization group flow
Calogero potential
BKT phase transition
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