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arXiv · hep-th/0604018

On the Inequivalence of Renormalization and Self-Adjoint Extensions for Quantum Singular Interactions

Horacio E. Camblong·Luis N. Epele·Huner Fanchiotti·Carlos A. Garcia Canal·Carlos R. Ordonez
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Abstract

A unified S-matrix framework of quantum singular interactions is presented for the comparison of self-adjoint extensions and physical renormalization. For the long-range conformal interaction the two methods are not equivalent, with renormalization acting as selector of a preferred extension and regulator of the unbounded Hamiltonian.

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Horacio E. Camblong, Luis N. Epele, Huner Fanchiotti, Carlos A. Garcia Canal, Carlos R. Ordonez. 2007-04-02. On the Inequivalence of Renormalization and Self-Adjoint Extensions for Quantum Singular Interactions. https://doi.org/10.1016/j.physleta.2006.12.041

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