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Perturbative Renormalizations of Anyon Quantum Mechanics

G. Amelino-Camelia
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Abstract

In bosonic end perturbative calculations for quantum mechanical anyon systems a regularization and renormalization procedure, analogous to those used in field theory, is necessary. I examine the reliability and the physical interpretation of the most commonly used bosonic end regularization procedures. I then use the regularization procedure with the most transparent physical interpretation to derive some bosonic end perturbation theory results on anyon spectra, including a 3-anyon ground state energy.

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G. Amelino-Camelia. 1994-06-30. Perturbative Renormalizations of Anyon Quantum Mechanics. https://doi.org/10.1103/physrevd.51.2000

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