Affine fields and operator representations for the nonlinear σ model

DOI10.1063/1.528797zbMath0722.58010OpenAlexW2061860299MaRDI QIDQ3209888

John R. Klauder, Christopher Isham

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1063/1.528797

zbMATH Keywords

Hamiltoniansoperator representationsquantum fields\(\sigma \) -modelnonperturbative quantization

Mathematics Subject Classification ID

Model quantum field theories (81T10) Axiomatic quantum field theory; operator algebras (81T05) Applications of manifolds of mappings to the sciences (58D30) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Manifolds of mappings (58D15)

Cites Work

• Equivariant embeddings in euclidean space
• Ultralocal scalar field models
• Factorizable representation of current algebra. Non commutative extension of the Levy-Kinchin formula and cohomology of a solvable group with values in a Hilbert space
• A group theoretical approach to the canonical quantisation of gravity. I. Construction of the canonical group
• Hamiltonian Formalism and the Canonical Commutation Relations in Quantum Field Theory
• A group theoretical approach to the canonical quantisation of gravity. II. Unitary representations of the canonical group
• Group theoretic quantisation of strings on tori
• ASYMPTOTIC BEHAVIOUR OF THE RESOLVENT OF STURM-LIOUVILLE EQUATIONS AND THE ALGEBRA OF THE KORTEWEG-DE VRIES EQUATIONS
• Rotationally-Symmetric Model Field Theories

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