Getting hot without accelerating: vacuum thermal effects from conformal quantum mechanics Speaker(s): Michele Arzano
Abstract:
In this talk I will discuss how the generators of radial conformal symmetries in Minkowski spacetime 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 spacetime 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 hypersurfaces 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 flatspace time is the noneternal nature of the lifetime of observers rather than their acceleration.
Date: 29/04/2021  2:30 pm
Series: Quantum Gravity
