A new algebra in the stochastic approximation for the model of a particle interacting with a quantum field

DOI10.1007/BF02557146zbMath0991.81121OpenAlexW2170307537MaRDI QIDQ1567960

Luigi Accardi, Igor V. Volovich, Sergei V. Kozyrev

Publication date: 19 July 2000

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02557146

zbMATH Keywords

correlation functionsstochastic limitfree Boltzmann algebratemperature-dependent commutation relations

Mathematics Subject Classification ID

Quantum field theory; related classical field theories (81T99) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Cites Work

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• The weak coupling limit as a quantum functional central limit
• On \(O_ n\).
• Stochastic integration on the Cuntz algebra \({\mathcal O}_ \infty\)
• Simple \(C^*\)-algebras generated by isometries
• The master field for QCD and \(q\)-deformed quantum field theory
• The Wigner semi-circle law in quantum electro dynamics
• Free Random Variables

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