Stringy Quantum Effects in 2-Dimensional Black-Hole

TL;DR

This paper explores quantum effects in a 2D black hole within string theory, showing that quantum corrections eliminate the classical singularity predicted by semi-classical approximations.

Contribution

It provides a non-perturbative analysis linking stringy quantum effects to the resolution of black hole singularities in two dimensions.

Findings

Quantum effects remove the classical singularity.

Fermi surface corresponds to the black hole singularity.

Exact treatment differs from semi-classical approximation.

Abstract

We discuss the classical 2-dim. black-hole in the framework of the non-perturbative formulation (in terms of non-relativistic fermions) of c=1 string field theory. We identify an off-shell operator whose classical equation of motion is that of tachyon in the classical graviton-dilaton black-hole background. The black-hole `singularity' is identified with the fermi surface in the phase space of a single fermion, and as such is a consequence of the semi-classical approximation. An exact treatment reveals that stringy quantum effects wash away the classical singularity.