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

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

2006-04-04

arxiv.org/abs/hep-th/0604018v2

Phys.Lett.A364:458-464,2007

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, including 2 figures. The title and abstract were changed to more accurately reflect the content. The text was rearra

Scientific paper

10.1016/j.physleta.2006.12.041

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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