Unitary evolution of perturbations of a two-dimensional black hole

TL;DR

This paper investigates how massive scalar perturbations affect the entropy and quantum behavior of a two-dimensional dilaton black hole, revealing Poincare recurrences and quantum modifications near the horizon.

Contribution

It introduces a Pauli-Villars regularization scheme to analyze scalar perturbations and their impact on black hole entropy and quantum effects in two-dimensional models.

Findings

Scalar perturbations modify the effective potential near the horizon

Two-point functions exhibit Poincare recurrences

Quantum effects influence black hole entropy calculations

Abstract

We discuss massive scalar perturbations of a two-dimensional dilaton black hole. We employ a Pauli-Villars reqularization scheme to calculate the effect of the scalar perturbation on the Bekenstein-Hawking entropy. By concentrating on the dynamics of the scalar field near the horizon, we argue that quantum effects alter the effective potential. We calculate the two-point function explicitly and show that it exhibits Poincare recurrences.