Wave Propagation in Stringy Black Hole

TL;DR

This paper investigates wave propagation in two-dimensional stringy black holes, revealing that singularities in tachyon fields are artifacts of semiclassical approximations and are absent in the exact theory, with insights into the Euclidean black hole emergence.

Contribution

It introduces a nonlinear differential equation for the tachyon in black hole backgrounds and clarifies the nature of singularities in the exact theory versus semiclassical approximations.

Findings

Singularities in tachyon configurations are linked to divergent semiclassical expansions.

Exact theory shows absence of singularities present in semiclassical analysis.

Euclidean black hole can be derived from an analytically continued fermion theory.

Abstract

We further study the nonperturbative formulation of two-dimensional black holes. We find a nonlinear differential equation satisfied by the tachyon in the black hole background. We show that singularities in the tachyon field configurations are always associated with divergent semiclassical expansions and are absent in the exact theory. We also discuss how the Euclidian black hole emerges from an analytically continued fermion theory that corresponds to the right side up harmonic oscillator potential.