THE RADIAL PART OF THE ZERO-MODE HAMILTONIAN FOR SIGMA MODELS WITH GROUP TARGET SPACE

DOI10.1142/S0129055X04002138zbMath1067.81116arXivmath-ph/0403053MaRDI QIDQ4818922

Doug Pickrell

Publication date: 24 September 2004

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

Full work available at URL: https://arxiv.org/abs/math-ph/0403053

zbMATH Keywords

HamiltonianWiener measureloop groupSigma model

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Model quantum field theories (81T10) Loop groups and related constructions, group-theoretic treatment (22E67) Groups and algebras in quantum theory and relations with integrable systems (81R12) Measures (Gaussian, cylindrical, etc.) on manifolds of maps (58D20)

Related Items (1)

An invariant measure for the loop space of a simply connected compact symmetric space

Cites Work

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• Supersymmetry and Morse theory
• Uniqueness of ground states for Schrödinger operators over loop groups

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