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Functional central limit theorems and P(phi) 1 -processes for the classical and relativistic Nelson models

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posted on 01.06.2016 by Soumaya Gheryani, Fumio Hiroshima, Jozsef Lorinczi, Achref Majid, Habib Ouerdiane
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.

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  • Science

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  • Mathematical Sciences

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

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ArXiv

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SMUR (Submitted Manuscript Under Review)

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This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Publication date

2015

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This is a ArXiv pre-print. It is also available online at: http://arxiv.org/abs/1605.01791v1

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en

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