Renormalized Path Integral for the Two-Dimensional Delta-Function Interaction

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dc.creatorCamblong, Horacio E.
dc.creatorOrdonez, Carlos R.
dc.date2001-10-19
dc.date2002-05-19
dc.date.accessioned2026-07-07T06:19:06Z
dc.date.available2026-07-07T06:19:06Z
dc.descriptionA path-integral approach for delta-function potentials is presented. Particular attention is paid to the two-dimensional case, which illustrates the realization of a quantum anomaly for a scale invariant problem in quantum mechanics. Our treatment is based on an infinite summation of perturbation theory that captures the nonperturbative nature of the delta-function bound state. The well-known singular character of the two-dimensional delta-function potential is dealt with by considering the renormalized path integral resulting from a variety of schemes: dimensional, momentum-cutoff, and real-space regularization. Moreover, compatibility of the bound-state and scattering sectors is shown.
dc.description26 pages. The paper was significantly expanded and numerous equations were added for the sake of clarity; the main results and conclusions are unchanged
dc.identifierhttps://arxiv.org/abs/hep-th/0110176
dc.identifierhttp://arxiv.org/abs/hep-th/0110176
dc.identifierPhys.Rev. A65 (2002) 052123
dc.identifierdoi:10.1103/PhysRevA.65.052123
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94960
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectMathematical Physics
dc.subjectNuclear Theory
dc.subjectQuantum Physics
dc.titleRenormalized Path Integral for the Two-Dimensional Delta-Function Interaction
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