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Fluctuation-dissipation and equilibrium for scalar fields in de Sitter

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abstract

The infrared dynamics of a minimally coupled scalar field in de Sitter spacetime can be described as Brownian motion of a particle in a medium of de Sitter temperature $T_{DS}=\frac{H}{2\pi}$. The system obeys a fluctuation-dissipation relation and its equilibrium distribution is Maxwell-Boltzmann, implying kinetic and potential energies of comparable magnitudes. The transition to equilibrium is a semi-classical process beyond the scope of perturbation theory for interacting fields. The stochastic kinetic energy of the field causes de Sitter spacetime to cool down slowly with a corresponding decrease of the effective vacuum energy.

fields

gr-qc 1

years

2026 1

verdicts

UNVERDICTED 1

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Stochastic scalar-tensor inflation and beyond

gr-qc · 2026-06-05 · unverdicted · novelty 7.0

Extends the stochastic inflation formalism to a wide class of scalar-tensor theories by mapping EFT of dark energy coefficients to stochastic equations of motion.

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  • Stochastic scalar-tensor inflation and beyond gr-qc · 2026-06-05 · unverdicted · none · ref 32 · internal anchor

    Extends the stochastic inflation formalism to a wide class of scalar-tensor theories by mapping EFT of dark energy coefficients to stochastic equations of motion.