Thermal representations in group field theory: squeezed vacua and quantum gravity condensates

TL;DR

This paper develops a thermal representation framework in group field theory quantum gravity using thermofield dynamics, introducing entangled squeezed vacua and thermal condensates to explore finite temperature effects.

Contribution

It introduces a novel thermal representation formalism in group field theory quantum gravity, including entangled squeezed vacua and thermal condensates, extending the zero-temperature framework.

Findings

Thermal vacua are entangled, two-mode squeezed states.

Finite temperature representations differ from zero-temperature ones.

Thermal quantum gravity condensates are characterized as coherent thermal states.

Abstract

We apply the formalism of thermofield dynamics to group field theory quantum gravity and construct thermal representations associated with generalised equilibrium Gibbs states using Bogoliubov transformations. The newly constructed class of thermal vacua are entangled, two-mode squeezed, thermofield double states. The corresponding finite temperature representations are inequivalent to the standard zero temperature one based on a degenerate vacuum. An interesting class of states, coherent thermal states, are defined and understood as thermal quantum gravity condensates.