The statistic thermodynamical entropy of de Sitter space and it's 1-loop correction

TL;DR

This paper derives the thermodynamical entropy of de Sitter space using the partition function and calculates its one-loop quantum correction from vacuum fluctuations, enhancing understanding of quantum effects in cosmological horizons.

Contribution

It introduces a method to compute the one-loop quantum correction to de Sitter entropy via vacuum fluctuation-induced bubble configurations.

Findings

Derived de Sitter entropy from the partition function with anti-Wick rotation.

Calculated the one-loop quantum correction from $S^2\times S^2$ bubble fluctuations.

Provides insights into quantum effects on cosmological horizon entropy.

Abstract

From the partition function of canonical ensemble we derive the entropy of the de Sitter space by anti-Wick rotation. And then from the one-loop bubble $S^2\times S^2$ created from vacuum fluctuation in de Sitter background space, we obtain the one-loop quantum correction to the entropy of de Sitter space.