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On the Inequivalence of Renormalization and Self-Adjoint Extensions for Quantum Singular Interactions
classification
✦ hep-th
gr-qcmath-phmath.MPquant-ph
keywords
renormalizationextensionsinteractionsquantumself-adjointsingularactingcomparison
read the original 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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