Relativistic scalar Aharonov-Bohm scattering
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Publication:4520628
DOI10.1088/0305-4470/33/31/307zbMATH Open1004.81035arXivhep-th/0007080OpenAlexW2952600309MaRDI QIDQ4520628
Author name not available (Why is that?)
Publication date: 13 December 2000
Published in: (Search for Journal in Brave)
Abstract: We discuss the scattering of relativistic spin zero particles by an infinitely long and arbitrarily thin solenoid. The exact solution of the first-quantized problem can be obtained as a mimic of the nonrelativistic case, either in the original Aharonov-Bohm way or by using the Berry's magnetization scheme. The perturbative treatment is developed in the Feshbach-Villars two-component formalism for the Klein-Gordon equation and it is shown that it also requires renormalization as in the Schrodinger counterpart. The results are compared with those of the field theoretical approach which corresponds to the two-body sector of the scalar Chern-Simons theory.
Full work available at URL: https://arxiv.org/abs/hep-th/0007080
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