One-Loop Renormalization in Two-Dimensional Matter-Dilaton Quantum Gravity and Charged Black Holes

TL;DR

This paper investigates the quantum properties of two-dimensional matter-dilaton gravity, calculating one-loop divergences, identifying conditions for renormalizability, and analyzing charged black hole solutions within the model.

Contribution

It provides explicit forms of couplings ensuring one-loop renormalizability and compares the structure with four-dimensional gravity-matter theories.

Findings

Explicit conditions for one-loop renormalizability of the model.

Calculation of one-loop divergences in various couplings.

Analysis of charged black hole solutions in the framework.

Abstract

The quantum properties of two-dimensional matter-dilaton gravity ---which includes a large family of actions for two-dimensional gravity (in particular, string-inspired models)--- are investigated. The one-loop divergences in linear covariant gauges are calculated and the structure of the one-loop renormalization is studied. The explicit forms of the dilaton potential, dilaton-Maxwell, and dilaton-scalar couplings for which the theory is one-loop multiplicatively renormalizable are found. A comparison with the one-loop renormalization structure of four-dimensional gravity-matter theory is given. Charged multiple-horizon black holes which appear in the model are also considered.