Path integration, anticommuting variables, and supersymmetry

DOI10.1063/1.531049zbMath0844.58013OpenAlexW2038868202MaRDI QIDQ4871971

Alice Rogers

Publication date: 29 August 1996

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

Full work available at URL: https://doi.org/10.1063/1.531049

zbMATH Keywords

Brownian motionRiemannian manifoldstochastic differential equationsWiener measureDirac operatorstochastic calculuspath integrationsupermanifoldssuperpathssuper heat kernel

Mathematics Subject Classification ID

Diffusion processes and stochastic analysis on manifolds (58J65) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Analysis on supermanifolds or graded manifolds (58C50)

Related Items (4)

Grassmannian stochastic analysis and the stochastic quantization of Euclidean fermions ⋮ Canonical quantization and topological theories ⋮ Functional Representations for Fock Superalgebras ⋮ Classification of integration patterns on \(\mathbb{R}^{1|1}\)

Cites Work

• Grassmann-valued processes for the Weyl and the Dirac equations
• A PROBABILISTIC FORMULATION OF BOSONIC AND FERMIONIC INTEGRATION
• The Feynman principle for a Fermi system
• Classical mechanics, the diffusion (heat) equation and the Schrödinger equation on a Riemannian manifold
• Stochastic calculus in superspace. I. Supersymmetric Hamiltonians
• Stochastic calculus in superspace. II. Differential forms, supermanifolds and the Atiyah-Singer index theorem
• Supersymmetry and the Atiyah-Singer index theorem

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