Renormalization group flow of the Aharonov–Bohm scattering amplitude

Journal Article · Thu Nov 15 00:00:00 EST 2018 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2018.09.001· OSTI ID:22848397

Camara da Silva, U., E-mail: [e-mail] ^[1]

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1. Departamento de Física - CCE, Universidade Federal de Espirito Santo, Vitoria - ES, 29075-900 (Brazil)

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 Schrödinger 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.

• OSTI ID: 22848397
• Journal Information: Annals of Physics, Vol. 398; Other Information: © 2018 Elsevier Inc. All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AHARONOV-BOHM EFFECT
CONFORMAL INVARIANCE
ELASTIC SCATTERING
ONE-DIMENSIONAL CALCULATIONS
PHASE TRANSFORMATIONS
POTENTIALS
RENORMALIZATION
SCATTERING AMPLITUDES
WAVE PROPAGATION