Functional integration

DOI10.1063/1.533338zbMath0974.58011OpenAlexW4238295546MaRDI QIDQ2738034

Pierre Cartier, Cecile de Witt-Morette

Publication date: 30 August 2001

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

Full work available at URL: https://doi.org/10.1063/1.533338

zbMATH Keywords

Feynman-Kac formulafunctional integrationFeynman's path integralBryce DeWitt's formalism

Mathematics Subject Classification ID

White noise theory (60H40) Path integrals in quantum mechanics (81S40) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Applications of manifolds of mappings to the sciences (58D30) Distributions on infinite-dimensional spaces (46F25)

Related Items (7)

The Dyson-Feynman conjectures ⋮ A rigorous mathematical construction of Feynman path integrals for the Schrödinger equation with magnetic field ⋮ Path integration over closed loops and Gutzwiller's trace formula ⋮ A differential Galois approach to path integrals ⋮ Generalized Feynman path integrals and applications to higher-order heat-type equations ⋮ Feynman operator calculus: The constructive theory ⋮ Feynman path integrals for polynomially growing potentials

Cites Work

• Quantum field theory and the Jones polynomial
• Chern-Simons-Witten invariants of lens spaces and torus bundles, and the semiclassical approximation
• A non-Gaussian fixed point for \(\phi^4\) in \(4-\epsilon\) dimensions
• Feynman path integrals. I: Linear and affine techniques. II: The Feynman- Green function
• Feynman's path integral. Definition without limiting procedure
• Missed opportunities
• A Family of Integrals Serving to Connect the Wiener and Feynman Integrals
• Supersymmetry and the Atiyah–Singer index theorem. II. The scalar curvature factor in the Schrödinger equation
• Localization and diagonalization: A review of functional integral techniques for low-dimensional gauge theories and topological field theories
• A new perspective on functional integration
• The Radiation Theories of Tomonaga, Schwinger, and Feynman
• On the Definition and Approximation of Feynman's Path Integrals

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