Stochastic quantum inflation for a canonical scalar field with linear self-interaction potential

Stochastic quantum inflation for a canonical scalar field with linear self-interaction potential

Abstract We apply Starobinsky’s formalism of stochastic inflation to the case of a massless minimally coupled scalar field with linear self-interaction potential. We solve the corresponding Fokker–Planck equation exactly, and we obtain analytical expressions for the stochastic expectation values....

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Main Author: Grigoris Panotopoulos
Format: Article
Language:English
Published: SpringerOpen 2017-10-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-017-5263-1
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spelling doaj-e7844e434e4d44b495b8d9806d1d8d232020-11-24T21:12:48ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522017-10-0177101510.1140/epjc/s10052-017-5263-1Stochastic quantum inflation for a canonical scalar field with linear self-interaction potentialGrigoris Panotopoulos0CENTRA, Instituto Superior Técnico, Universidade de LisboaAbstract We apply Starobinsky’s formalism of stochastic inflation to the case of a massless minimally coupled scalar field with linear self-interaction potential. We solve the corresponding Fokker–Planck equation exactly, and we obtain analytical expressions for the stochastic expectation values.http://link.springer.com/article/10.1140/epjc/s10052-017-5263-1
collection DOAJ
language English
format Article
sources DOAJ
author Grigoris Panotopoulos
spellingShingle Grigoris Panotopoulos
Stochastic quantum inflation for a canonical scalar field with linear self-interaction potential
European Physical Journal C: Particles and Fields
author_facet Grigoris Panotopoulos
author_sort Grigoris Panotopoulos
title Stochastic quantum inflation for a canonical scalar field with linear self-interaction potential
title_short Stochastic quantum inflation for a canonical scalar field with linear self-interaction potential
title_full Stochastic quantum inflation for a canonical scalar field with linear self-interaction potential
title_fullStr Stochastic quantum inflation for a canonical scalar field with linear self-interaction potential
title_full_unstemmed Stochastic quantum inflation for a canonical scalar field with linear self-interaction potential
title_sort stochastic quantum inflation for a canonical scalar field with linear self-interaction potential
publisher SpringerOpen
series European Physical Journal C: Particles and Fields
issn 1434-6044
1434-6052
publishDate 2017-10-01
description Abstract We apply Starobinsky’s formalism of stochastic inflation to the case of a massless minimally coupled scalar field with linear self-interaction potential. We solve the corresponding Fokker–Planck equation exactly, and we obtain analytical expressions for the stochastic expectation values.
url http://link.springer.com/article/10.1140/epjc/s10052-017-5263-1
work_keys_str_mv AT grigorispanotopoulos stochasticquantuminflationforacanonicalscalarfieldwithlinearselfinteractionpotential
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