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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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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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