Horizon temperature on the real line
Abstract
We illustrate the analogue of the Unruh effect for a quantum system on the real line. Our derivation relies solely on basic elements of representation theory of the group of affine transformations without a notion of time or metric. Our result shows that a thermal distribution naturally emerges in connecting quantum states belonging to representations associated to distinct notions of translational symmetry.
- Publication:
-
Physics Letters B
- Pub Date:
- January 2019
- DOI:
- 10.1016/j.physletb.2018.10.019
- arXiv:
- arXiv:1804.10550
- Bibcode:
- 2019PhLB..788...82A
- Keywords:
-
- High Energy Physics - Theory;
- General Relativity and Quantum Cosmology;
- Quantum Physics
- E-Print:
- 4 pages, no figures