Infinite Temperature's Not So Hot
Abstract
It has been argued that the entanglement spectrum of a static patch of de Sitter space must be flat, or what is equivalent, the temperature parameter in the Boltzmann distribution must be infinite. This seems absurd: quantum fields in de Sitter space have thermal behavior with a finite temperature proportional to the inverse radius of the horizon. The resolution of this puzzle is that the behavior of some quantum systems can be characterized by a temperature-like quantity which remains finite as the temperature goes to infinity. For want of a better term we have called this quantity tomperature. In this paper we will explain how tomperature resolves the puzzle in a proposed toy model of de Sitter holography -- the double-scaled limit of SYK theory.
Cite
@article{arxiv.2206.01083,
title = {Infinite Temperature's Not So Hot},
author = {Henry Lin and Leonard Susskind},
journal= {arXiv preprint arXiv:2206.01083},
year = {2022}
}