Quantized 2d Dilaton Gravity and Black Holes

TL;DR

This paper investigates a quantized version of 2D dilaton gravity, analyzing black hole solutions, quantum effects on matter fields, and string susceptibility, revealing that black holes persist but with unbounded ADM mass.

Contribution

It introduces a separable action for quantization of 2D dilaton gravity and explores quantum effects on black holes and matter fields.

Findings

Black hole solutions remain in the quantized theory.

The ADM mass of static solutions is unbounded from below.

Quantum effects influence string susceptibility.

Abstract

We have examined a modified dilaton gravity whose action is separable into the kinetic and the cosmological terms for the sake of the quantization. The black hole solutions survive even in the quantized theory, but the ADM mass of the static solution is unbounded from below. Quantum gravitational effect on the interacting matter field and the string susceptibility of the dilaton gravity are also examined.