English

Horizon temperature without space-time

High Energy Physics - Theory 2020-04-01 v1 General Relativity and Quantum Cosmology Quantum Physics

Abstract

It is shown how the characteristic thermal effects that observers experience in space-times possessing an event horizon can manifest already in a simple quantum system with affine symmetry living on the real line. The derivation presented is essentially group theoretic in nature: a thermal state emerges naturally when comparing different representations of the group of affine transformations of the real line. The freedom in the choice of different notions of translation generators is the key to the Unruh effect "on a line" we describe.

Keywords

Cite

@article{arxiv.2003.14083,
  title  = {Horizon temperature without space-time},
  author = {Michele Arzano},
  journal= {arXiv preprint arXiv:2003.14083},
  year   = {2020}
}

Comments

11 pages, no figures. Talk presented at the Corfu Summer Institute 2019 "School and Workshops on Elementary Particle Physics and Gravity", 31 August - 25 September 2019, Corfu, Greece

R2 v1 2026-06-23T14:33:29.249Z