Short-time asymptotics of a rigorous path integral for N = 1 supersymmetric quantum mechanics on a Riemannian manifold

DOI10.1063/1.4881719zbMath1295.81101arXiv1207.2751OpenAlexW1988899993WikidataQ115333253 ScholiaQ115333253MaRDI QIDQ5171391

Stephen F. Sawin, Dana Stanley Fine

Publication date: 26 July 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.2751

zbMATH Keywords

path integralsheat kernelquantum mechanicssupersymmetryshort-time asymptoticscompact Riemannian manifoldsteepest descent approximationLaplace-de-Rham operator

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Path integrals in quantum mechanics (81S40) Supersymmetry and quantum mechanics (81Q60) Global Riemannian geometry, including pinching (53C20) Functional analysis on superspaces (supermanifolds) or graded spaces (46S60) Heat kernel (35K08) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items

Path integrals, supersymmetric quantum mechanics, and the Atiyah-Singer index theorem for twisted Dirac, Strong short-time asymptotics and convolution approximation of the heat kernel

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