An effective Hamiltonian for 2D black hole Physics

TL;DR

This paper derives an effective Hamiltonian for 2D black hole models, specifically the CGHS theory, by applying advanced methods to identify true degrees of freedom and the system's symplectic structure.

Contribution

It introduces a new effective Hamiltonian for 2D black hole physics using methods for diffeomorphism-invariant models, clarifying the system's true degrees of freedom.

Findings

Derived the true degrees of freedom for 2D black holes.

Established the symplectic structure of the reduced phase space.

Formulated the effective Hamiltonian governing the dynamics.

Abstract

In another application of the methods of Henneaux, Teitelboim, and Vergara developed for diffeomorphisms invariant models, the CGHS theory of 2D black holes is focused in order to obtain the true degrees of freedom, the simplectic structure and the {\it effective} Hamiltonian that rules the dynamics in reduced phase-space.