A Rigorous Path Integral for Supersymmetric Quantum Mechanics and the Heat Kernel

Simple item page
dc.creatorFine, Dana
dc.creatorSawin, Stephen
dc.date2007-05-04
dc.date2007-11-20
dc.date.accessioned2026-07-07T11:56:46Z
dc.date.available2026-07-07T11:56:46Z
dc.descriptionIn a rigorous construction of the path integral for supersymmetric quantum mechanics on a Riemann manifold, based on Bär and Pfäffle's use of piecewise geodesic paths, the kernel of the time evolution operator is the heat kernel for the Laplacian on forms. The path integral is approximated by the integral of a form on the space of piecewise geodesic paths which is the pullback by a natural section of Mathai and Quillen's Thom form of a bundle over this space. In the case of closed paths, the bundle is the tangent space to the space of geodesic paths, and the integral of this form passes in the limit to the supertrace of the heat kernel.
dc.description14 pages, LaTeX, no figs
dc.identifierhttps://arxiv.org/abs/0705.0638
dc.identifierhttp://arxiv.org/abs/0705.0638
dc.identifierCommun.Math.Phys.284:79-91,2008
dc.identifierdoi:10.1007/s00220-008-0606-2
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/205649
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.subject81S40,81Q60
dc.titleA Rigorous Path Integral for Supersymmetric Quantum Mechanics and the Heat Kernel
dc.typetext

Files

Collections

arXiv