Non-Minimally Coupled Massive Scalar Field in a 2D Black Hole: Exactly Solvable Model

TL;DR

This paper presents an exactly solvable model of a non-minimally coupled massive scalar field in a 2D black hole spacetime, providing explicit solutions and calculations of physical quantities like greybody factors and Hawking radiation.

Contribution

It introduces a closed-form solution for the scalar field modes and Green function in a 2D black hole, enabling exact computation of quantum effects.

Findings

Explicit solutions for scalar field modes and Green function.

Exact calculations of greybody factors and Hawking radiation.

Determination of the renormalized < φ^2 > in the model.

Abstract

We study a nonminimal massive scalar field in a 2-dimensional black hole spacetime. We consider the black hole which is the solution of the 2d dilaton gravity derived from string-theoretical models. We found an explicit solution in a closed form for all modes and the Green function of the scalar field with an arbitrary mass and a nonminimal coupling to the curvature. Greybody factors, the Hawking radiation, and $ < \phi^2 >^{ren} $ are calculated explicitly for this exactly solvable model.