Quantum corrections for a Bañados-Teitelboim-Zanelli black hole via the 2D reduced model

Abstract

The one-loop quantum corrections for a Bañados-Teitelboim-Zanelli (BTZ) black hole are considered using a dimensionally reduced 2D model. Two cases are analyzed: minimally coupled and conformally coupled 3D scalar matter. In the minimal case, 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 a comparison with the exact results obtained previously for a spinless BTZ black hole. The exact corrections for an AdS2 black hole for the 2D minimally coupled scalar field in Hartle-Hawking and Boulware states are found as a subcase. ©2002 The American Physical Society.