# Getting hot without accelerating: vacuum thermal effects from conformal quantum mechanics

### APA

Arzano, M. (2021). Getting hot without accelerating: vacuum thermal effects from conformal quantum mechanics. Perimeter Institute. https://pirsa.org/21040033

### MLA

Arzano, Michele. Getting hot without accelerating: vacuum thermal effects from conformal quantum mechanics. Perimeter Institute, Apr. 29, 2021, https://pirsa.org/21040033

### BibTex

@misc{ pirsa_21040033, doi = {10.48660/21040033}, url = {https://pirsa.org/21040033}, author = {Arzano, Michele}, keywords = {Quantum Gravity}, language = {en}, title = {Getting hot without accelerating: vacuum thermal effects from conformal quantum mechanics}, publisher = {Perimeter Institute}, year = {2021}, month = {apr}, note = {PIRSA:21040033 see, \url{https://pirsa.org}} }

Michele Arzano Università degli Studi di Napoli Federico II

## Abstract

In this talk I will discuss how the generators of radial conformal symmetries in Minkowski space-time are related to the generators of time evolution in conformal quantum mechanics. Within this correspondence I will show that in conformal quantum mechanics the state corresponding to the inertial vacuum for a conformally invariant field in Minkowski space-time has the structure of a thermofield double. The latter is built from a bipartite "vacuum state" corresponding to the ground state of the generators of hyperbolic time evolution, which cover only a portion of the time domain. When such generators are the ones of conformal Killing vectors mapping a causal diamond in itself and of dilations, the temperature of the thermofield double reproduces, respectively, the diamond temperature and the Milne temperature perceived by observers whose constant proper time hyper-surfaces define a hyperbolic slicing of the future cone. I will point out how this result indicates that, for conformal invariant fields, the fundamental ingredient for vacuum thermal effects in flat-space time is the non-eternal nature of the lifetime of observers rather than their acceleration.