Entropy in the RST Model

TL;DR

This paper calculates the intrinsic entropy in the RST model using Euclidean methods, analyzes its evolution under shockwave solutions, and confirms it obeys a second law of thermodynamics.

Contribution

It introduces a Euclidean approach to compute the intrinsic entropy in the RST model and studies its evolution, demonstrating compliance with the second law.

Findings

Entropy evolution follows a second law

Euclidean method effectively computes intrinsic entropy

Shockwave solutions influence entropy dynamics

Abstract

The RST Model is given boundary term and Z-field so that it is well-posed and local. The Euclidean method is described for general theory and used to calculate the RST intrinsic entropy. The evolution of this entropy for the shockwave solutions is found and obeys a second law.