Jackiw-Teitelboim Model Coupled to Conformal Matter in the Semi-Classical Limit

TL;DR

This paper investigates the semi-classical behavior of the Jackiw-Teitelboim model of 2D gravity coupled with conformal matter, revealing differences in thermodynamics and entropy dynamics under various boundary conditions.

Contribution

It provides a comparative analysis of two boundary condition setups in the JT model, highlighting their effects on thermodynamics and entropy evolution in semi-classical gravity.

Findings

Thermodynamics differ based on boundary conditions.

Generalized entropy increases along future Q-screens.

Second law holds for matter satisfying null energy condition.

Abstract

We analyse the Jackiw-Teitelboim model of 2D gravity coupled to $N$ massless free scalar fields in the semi-classical limit. Two systems are studied which essentially differ in the boundary conditions that are imposed. We find that the thermodynamics has interesting differences. We also analyse the response to additional infalling matter which satisfies the null energy condition. The second law is shown to be valid in both systems for the generalised entropy which takes into account the entanglement across the event horizon due to the matter fields. Similarly we find that the generalised entropy increases along future Q-screens in both systems.