On dimensional reduction of functional measures

DOI10.1016/0022-1236(88)90094-8zbMath0644.28011OpenAlexW2018579946MaRDI QIDQ1102398

Asao Arai

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0022-1236(88)90094-8

zbMATH Keywords

dimensional reductionfunctional integralsfunctional measuresexponential type models of Euclidean field theory

Mathematics Subject Classification ID

Constructive quantum field theory (81T08) Measures and integration on abstract linear spaces (46G12) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Related Items (2)

De Rham-Hodge-Kodaira decomposition in \(\infty\)-dimensions ⋮ Path integral representation of the index of Kähler-Dirac operators on an infinite dimensional manifold

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Supersymmetry and the Parisi-Sourlas dimensional reduction: a rigorous proof
• Measures on Schwartz distribution space and applications to \(P(\varphi)_2\) field theories
• The Wightman axioms and the mass gap for strong interactions of exponential type in two-dimensional space-time
• The \(P(\phi)_2\) Euclidean quantum field theory as classical statistical mechanics. II.
• A \(\lambda\varphi^{2n}\) field theory without cutoffs
• Stationary Stochastic Processes. (MN-8)
• Harmonic analysis on Hilbert space
• Supersymmetry and the Atiyah-Singer index theorem

This page was built for publication: On dimensional reduction of functional measures