Applications of white noise calculus to the computation of Feynman integrals
type: Item
instance of: scholarly article
title: Applications of white noise calculus to the computation of Feynman integrals
zbMATH Open document ID: 0649.60046
DOI: 10.1016/0304-4149(88)90041-5
author: Diego de Falco
author: Dinkar C. Khandekar
published in: Stochastic Processes and their Applications
publication date: 1988-01-01T00:00:00Z
review text: The paper is essentially based on the white noise calculus, developed by \textit{T. Hida} [Brownian motion (1980; Zbl 0432.60002)]. Lévy's stochastic area, considered in terms of Hida's calculus, is used to explicitly calculate the Feynman propagator in a uniform magnetic field. With the same technique, a rigorous treatment of Feynman integrals of two-time quadratic actions is given.
Mathematics Subject Classification ID: 60G20
Mathematics Subject Classification ID: 81Q30
Mathematics Subject Classification ID: 60H99
zbMATH DE Number: 4060437
zbMATH Keywords: white noise calculus
zbMATH Keywords: Hida's calculus
zbMATH Keywords: Feynman propagator in a uniform magnetic field
zbMATH Keywords: Feynman integrals
MaRDI profile type: Publication
full work available at URL: 0304-4149(88)90041-5
OpenAlex ID: W1965104844
cites work: Q5569065
cites work: Q5509277
cites work: Quadratic functionals of Brownian motion
cites work: Q3870044
cites work: Generalized Brownian functionals and the Feynman integral
cites work: Q5509994
cites work: Q3951350
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description: scientific article; zbMATH DE number 4060437