The quantum Fokker-Planck equation of stochastic inflation

Collins, Hael; Holman, Richard; Vardanyan, Tereza

doi:10.1007/jhep11(2017)065

The quantum Fokker-Planck equation of stochastic inflation

Journal Article · Mon Nov 13 00:00:00 EST 2017 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep11(2017)065· OSTI ID:1507422

Collins, Hael ^[1]; Holman, Richard ^[2]; Vardanyan, Tereza ^[3]

Carnegie Mellon Univ., Pittsburgh, PA (United States). Dept. of Physics; Carnegie Mellon Univ., Pittsburgh, PA (United States)
Carnegie Mellon Univ., Pittsburgh, PA (United States). Dept. of Physics; Minerva Schools at KGI, San Francisco, CA (United States). College of Computational Sciences
Carnegie Mellon Univ., Pittsburgh, PA (United States). Dept. of Physics

We derive the stochastic description of a massless, interacting scalar field in de Sitter space directly from the quantum theory. This is done by showing that the density matrix for the effective theory of the long wavelength fluctuations of the field obeys a quantum version of the Fokker-Planck equation. This equation has a simple connection with the standard Fokker-Planck equation of the classical stochastic theory, which can be generalised to any order in perturbation theory. We illustrate this formalism in detail for the theory of a massless scalar field with a quartic interaction.

View Accepted Manuscript (DOE)

Research Organization:: Carnegie Mellon Univ., Pittsburgh, PA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: FG02-91ER40682

OSTI ID:: 1507422

Alternate ID(s):: OSTI ID: 22710043

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 11 Vol. 2017; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited By (3)

Inflationary stochastic anomalies Pinol, Lucas; Renaux-Petel, Sébastien; Tada, Yuichiro Classical and Quantum Gravity, Vol. 36, Issue 7 https://doi.org/10.1088/1361-6382/ab097f	journal	March 2019
Statistical nature of infrared dynamics on de Sitter background Tokuda, Junsei; Tanaka, Takahiro Journal of Cosmology and Astroparticle Physics, Vol. 2018, Issue 02 https://doi.org/10.1088/1475-7516/2018/02/014	journal	February 2018
Inflationary stochastic anomalies Pinol, Lucas; Renaux-Petel, Sébastien; Tada, Yuichiro arXiv https://doi.org/10.48550/arxiv.1806.10126	text	January 2018

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