On the Inequivalence of Renormalization and Self-Adjoint Extensions for Quantum Singular Interactions
High Energy Physics - Theory
2008-11-26 v2 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Quantum Physics
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.
Keywords
Cite
@article{arxiv.hep-th/0604018,
title = {On the Inequivalence of Renormalization and Self-Adjoint Extensions for Quantum Singular Interactions},
author = {Horacio E. Camblong and Luis N. Epele and Huner Fanchiotti and Carlos A. Garcia Canal and Carlos R. Ordonez},
journal= {arXiv preprint arXiv:hep-th/0604018},
year = {2008}
}
Comments
19 pages, including 2 figures. The title and abstract were changed to more accurately reflect the content. The text was rearranged into sections, with several equations and multiple paragraphs added for clarity; and a few typos were corrected. The central equations and concepts remain unchanged.