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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

hep-tharXiv:hep-th/0604018

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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