Diffeomorphism Groups in Quantum Theory and Statistical Physics

DOI10.1007/978-3-030-53305-2_23zbMath1472.81114OpenAlexW3095260519MaRDI QIDQ5152784

Gerald A. Goldin

Publication date: 27 September 2021

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-53305-2_23

zbMATH Keywords

symmetryconfiguration spacesunitary representationsstatistical physicscocycleslocalityquasi-invariant measuresquantum statisticsdiffeomorphism groupsinfinite-dimensional groups

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of Lie groups to the sciences; explicit representations (22E70) Quantum equilibrium statistical mechanics (general) (82B10) Analysis on and representations of infinite-dimensional Lie groups (22E66) General mathematical topics and methods in quantum theory (81Qxx) General quantum mechanics and problems of quantization (81Sxx)

Cites Work

• Analysis and geometry on configuration spaces
• Diffeomorphism group representations in relativistic quantum field theory
• Quantum vortex configurations in three dimensions
• DIFFEOMORPHISM GROUPS AND CURRENT ALGEBRAS: CONFIGURATION SPACE ANALYSIS IN QUANTUM THEORY
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