Pfaffians on Hilbert space

DOI10.1016/0022-1236(89)90024-4zbMath0717.47006OpenAlexW2066747730MaRDI QIDQ2638491

Andrzej Lesniewski, Jonathan Weitsman, Arthur Jaffe

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0022-1236(89)90024-4

zbMATH Keywords

determinantSchatten classexistence and continuity of Pfaffians on infinite dimensional spaces

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Applications of functional analysis in quantum physics (46N50) Exterior algebra, Grassmann algebras (15A75)

Related Items (12)

Fermionic Gaussians ⋮ The Berezin calculus ⋮ Pfaffians on Banach spaces ⋮ A general class of infinite dimensional Dirac operators and path integral representation of their index ⋮ The Pfaffian line bundle ⋮ A Cayley-Hamilton theorem for the skew Capelli elements ⋮ Heat kernel regularization of quantum fields ⋮ Determinants, Pfaffians and Quasi-Free Representations of the CAR Algebra ⋮ Hilbert Space of Spinor Fields Over the Free Loop Space ⋮ Fredholm Pfaffian \(\tau \)-functions for orthogonal isospectral and isomonodromic systems ⋮ Euclidean Majorana fermions, fermionic integrals, and relative Pfaffians ⋮ Canonical transformations for fermions in superanalysis

Cites Work

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• Superconnections, Thom classes, and equivariant differential forms
• The loop space \(S^ 1\to {\mathbb{R}}\) and supersymmetric quantum fields
• Quantum field theory, Grassmannians, and algebraic curves
• Notes on infinite determinants of Hilbert space operators

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