Implementing symmetries of a free Bose field via white noise operators

DOI10.1007/S10114-002-0197-3zbMath1027.60055OpenAlexW2321422560MaRDI QIDQ1566032

Shun Long Luo

Publication date: 14 January 2004

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-002-0197-3

zbMATH Keywords

symplectic automorphismfree Bose fieldGaussian kernel operators

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Axiomatic quantum field theory; operator algebras (81T05) Stochastic calculus of variations and the Malliavin calculus (60H07)

Cites Work

• Singular operators on Boson fields as forms on spaces of entire functions on Hilbert space
• White noise calculus and Fock space
• Gaussian kernel operators on white noise functional spaces
• Tempered distributions in infinitely many dimensions. III: Linear transformations of field operators
• Quantum white noises—White noise approach to quantum stochastic calculus
• Linear Symmetries of Free Boson Fields
• Mathematical aspects of the quantum theory of fields. Part V. Fields modified by linear homogeneous forces
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