The degree of the Nicolai map in supersymmetric quantum mechanics

DOI10.1016/0022-1236(87)90041-3zbMath0658.28008OpenAlexW2045902199MaRDI QIDQ1111721

Ezra Getzler

Publication date: 1987

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(87)90041-3

zbMATH Keywords

path integralsigned measureabstract Wiener spacesupersymmetric quantum mechanical modelGaussian measureLeray-Schauder degreesupertraceNicolai mapCarleman-Fredholm determinantOrnstein- Uhlenbeck measure

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Path integrals in quantum mechanics (81S40) Measures and integration on abstract linear spaces (46G12) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Functional analytic lifting theory (46G15)

Related Items

Index of a family of Dirac operators on loop space ⋮ Infinite-dimensional degree theory and stochastic analysis ⋮ Measures on Banach manifolds and supersymmetric quantum field theory

Cites Work

• A short proof of the local Atiyah-Singer index theorem
• Degree theory for Wiener maps
• Supersymmetry and Morse theory
• Supersymmetric path integrals
• Curvature and the eigenvalues of the Laplacian
• Supersymmetric field theories and stochastic differential equations