# Thermal interpretation of infrared dynamics in de Sitter

@article{Rigopoulos2016ThermalIO,
title={Thermal interpretation of infrared dynamics in de Sitter},
author={Gerasimos I Rigopoulos},
journal={Journal of Cosmology and Astroparticle Physics},
year={2016},
volume={2016},
pages={035 - 035}
}
• G. Rigopoulos
• Published 14 April 2016
• Physics
• Journal of Cosmology and Astroparticle Physics
The infrared dynamics of a light, minimally coupled scalar field in de Sitter spacetime with Ricci curvature R = 12H2, averaged over horizon sized regions of physical volume VH = (4π/3)(1/H)3, can be interpreted as Brownian motion in a medium with de Sitter temperature TDS = ℏH/2π. We demonstrate this by directly deriving the effective action of scalar field fluctuations with wavelengths larger than the de Sitter curvature radius and generalizing Starobinsky's seminal results on stochastic…
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## References

SHOWING 1-10 OF 62 REFERENCES

### The IR stability of de Sitter QFT: physical initial conditions

• Mathematics, Physics
• 2011
This work uses Lorentz-signature in-in perturbation theory to analyze the late-time behavior of correlators in time-dependent interacting massive scalar field theory in de Sitter space. We study a

### On “dynamical mass” generation in Euclidean de Sitter space

• Physics
• 2013
We consider the perturbative treatment of the minimally coupled, massless, self-interacting scalar field in Euclidean de Sitter space. Generalizing work of Rajaraman, we obtain the dynamical mass m^2

### Vacuum Fluctuations of a Scalar Field during Inflation: Quantum versus Stochastic Analysis

We consider an infrared truncated massless minimally coupled scalar field with a quartic self-interaction in the locally de Sitter background of an inflating universe. We compute the two-point

### Fluctuation and dissipation in de Sitter space

• Physics
• 2014
A bstractIn this paper we study some thermal properties of quantum field theories in de Sitter space by means of holographic techniques. We focus on the static patch of de Sitter and assume that the

### Infrared correlations in de Sitter space: Field theoretic versus stochastic approach

• Physics
• 2014
We consider massive λ ϕ 4 theory in de Sitter background. The mass of the scalar field ϕ is chosen small enough, such that the amplification of superhorizon momentum modes leads to a significant

### Feynman Diagrams for Stochastic Inflation and Quantum Field Theory in de Sitter Space

• Physics
• 2015
We consider a massive scalar field with quartic self-interaction $\lambda/4!\,\phi^4$ in de~Sitter spacetime and present a diagrammatic expansion that describes the field as driven by stochastic

### The IR stability of de Sitter QFT: results at all orders

• Physics, Mathematics
• 2010
Author(s): Marolf, Donald; Morrison, Ian A | Abstract: We show that the Hartle-Hawking vacuum for theories of interacting massive scalars in de Sitter space is both perturbatively well-defined and

### Self Regulation of Infrared Correlations for Massless Scalar Fields during Inflation

• Physics
• 2011
Self-energies of a minimally coupled scalar field with quartic and trilinear interactions are calculated in a de Sitter background, using a position space propagator. For quartic interactions, we

### Quantum scalar fields in de Sitter space from the nonperturbative renormalization group

• Physics
• 2015
We investigate scalar field theories in de Sitter space by means of nonperturbative renormalization group techniques. We compute the functional flow equation for the effective potential of O(N)

### Generation of fluctuations during inflation: Comparison of stochastic and field-theoretic approaches

• Physics
• 2009
We prove that the stochastic and standard field-theoretical approaches produce exactly the same results for the amount of light massive scalar field fluctuations generated during inflation in the