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Functional central limit theorems and P(φ)1-processes for the classical and relativistic Nelson models
University of Tunis El Manar, Tunisia.
Kyushu University, Japan.
Loughborough University, UK.
Linnaeus University, Faculty of Technology, Department of Mathematics.
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2017 (English)In: Annales de l'I.H.P. Probabilites et statistiques, ISSN 0246-0203, E-ISSN 1778-7017Article in journal (Refereed) Submitted
Abstract [en]

We construct P()1-processes indexed by the full time-line, separately derived from thefunctional integral representations of the classical Nelson model and relativistic Nelsonmodel in quantum eld theory. Associated with these processes we dene a martingalewhich, under proper scaling, allows to obtain a central limit theorem for additive functionalsof the two processes. We show a number of examples by choosing specic functionalsrelated to particle-eld operators.

Place, publisher, year, edition, pages
2017.
Keyword [en]
classical and relativistic Nelson models, non-local operators, ground states, Feynman-Kac representations, jump processes, functional central limit theorems
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-61919OAI: oai:DiVA.org:lnu-61919DiVA: diva2:1085117
Available from: 2017-03-28 Created: 2017-03-28 Last updated: 2017-03-28

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CiteExportLink to record
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