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Title: Functional central limit theorems and P(phi) 1 -processes for the classical and relativistic Nelson models
Authors: Gheryani, Soumaya
Hiroshima, Fumio
Lorinczi, Jozsef
Majid, Achref
Ouerdiane, Habib
Issue Date: 2015
Publisher: ArXiv
Citation: GHERYAN, S. ... et al, 2016. Functional central limit theorems and P(phi) 1 -processes for the classical and relativistic Nelson models. arXiv:1605.01791
Abstract: We construct $P(phi)_1$-processes indexed by the full time-line, separately derived from the functional integral representations of the classical Nelson model and relativistic Nelson model in quantum field theory. Associated with these processes we define a martingale which, under proper scaling, allows to obtain a central limit theorem for additive functionals of the two processes. We show a number of examples by choosing specific functionals related to particle-field operators.
Description: This is a ArXiv pre-print. It is also available online at: http://arxiv.org/abs/1605.01791v1
Version: Submitted for publication
URI: https://dspace.lboro.ac.uk/2134/21435
Publisher Link: http://arxiv.org/abs/1605.01791v1
Appears in Collections:Pre-prints (Maths)

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