Thermal effects in Ising Cosmology

TL;DR

This paper investigates thermal effects in de Sitter space using a scalar field model, linking these effects to anomalous dimensions in the 3D Ising model, and computes related cosmological observables.

Contribution

It introduces a novel connection between thermal propagators in de Sitter space and anomalous dimensions in the 3D Ising model, providing a new approach to cosmological predictions.

Findings

Thermal propagators in de Sitter space are computed for a scalar field.

Anomalous dimensions in the 3D Ising model encode thermal effects in dS/CFT.

Cosmological observables are determined by the critical exponent η.

Abstract

We consider a real scalar field in de Sitter background and compute its thermal propagators. We propose that in a dS/CFT context, non-trivial thermal effects as seen by an 'out' observer can be encoded in the anomalous dimensions of the $d = 3$ Ising model. One of these anomalous dimensions, the critical exponent $\eta$, fixes completely a number of cosmological observables, which we compute