Stochastic quantum inflation for a canonical scalar field with linear self-interaction potential
Grigoris Panotopoulos
TL;DR
This paper applies Starobinsky's stochastic inflation formalism to a minimally coupled scalar field with a linear self-interaction potential, providing exact solutions to the Fokker-Planck equation and analytical expressions for expectation values.
Contribution
It offers the first exact analytical solutions for the stochastic dynamics of a scalar field with linear self-interaction during inflation.
Findings
Exact solutions to the Fokker-Planck equation for the model
Analytical expressions for stochastic expectation values
Enhanced understanding of scalar field behavior during inflation
Abstract
We apply Starobinsky's formalism of stochastic inflation to the case of a minimally coupled scalar field with linear self-interaction potential. We solve the corresponding Fokker-Planck equation exactly, and obtain analytical expressions for the stochastic expectation values.
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Taxonomy
TopicsCosmology and Gravitation Theories · Stochastic processes and financial applications · Insurance, Mortality, Demography, Risk Management