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- W2788759195 abstract "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 new renormalized cross-section has an amazing property of being non-vanishing even for a quantized magnetic flux, coinciding with the case of Dirac delta function potential. 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. Our analysis demonstrates that for quantized magnetic fluxes a BKT-like phase transition at the coupling space occurs." @default.
- W2788759195 created "2018-03-06" @default.
- W2788759195 creator A5087540674 @default.
- W2788759195 date "2018-02-22" @default.
- W2788759195 modified "2023-09-27" @default.
- W2788759195 title "Renormalization Group Flow of the Aharonov-Bohm Scattering Amplitude" @default.
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