Quantum corrections for BTZ black hole via 2D reduced model

TL;DR

This paper investigates quantum corrections to BTZ black holes using a 2D reduced model, analyzing minimal and conformal scalar couplings, and deriving semiclassical geometrical modifications in various quantum states.

Contribution

It provides a detailed analysis of one-loop quantum corrections for BTZ black holes in a 2D reduced framework, including exact results for specific scalar couplings and states.

Findings

Semiclassical corrections to BTZ geometry are derived for different quantum states.

Exact quantum corrections are obtained for AdS black holes with minimally coupled scalars.

Comparison with previous exact results validates the 2D reduction approach.

Abstract

The one-loop quantum corrections for BTZ black hole are considered using the dimensionally reduced 2D model. Cases of 3D minimal and conformal coupling are analyzed. Two cases are considered: minimally coupled and conformally coupled 3D scalar matter. In the minimal case, the Hartle-Hawking and Unruh vacuum states are defined and the corresponding semiclassical corrections of the geometry are found. The calculations are done for the conformal case too, in order to make the comparison with the exact results obtained previously in the special case of spinless black hole. Beside that we find exact corrections for AdS black hole for 2D minimally coupled scalar field in the Hatrle-Hawking and Boulware state