New divergences of tachyon in the two-dimensional charged black holes

TL;DR

This paper quantizes the tachyon field in 2D charged black holes, revealing new divergences in the stress-energy tensor near the horizon, which differ from conformal matter cases.

Contribution

It introduces the quantization of tachyon fields in 2D charged black holes and identifies novel divergences in the stress-energy tensor near the horizon.

Findings

New divergences like ln f and 1/f appear near the horizon.

Quantization of tachyon fields shows different behavior from conformal matter.

Stress-energy tensor exhibits unique divergences in the charged black hole background.

Abstract

We quantize the tachyon field in the two-dimensional (2D), $\epsilon<2$ charged black holes where $\epsilon$ is the dilaton coupling parameter for the Maxwell term. Especially the expectation value of the stress-energy tensor $\langle T_{ab}\rangle$, observed by a freely falling observer, is computed. This shows that new divergences such as $\ln f$ and ${1 \over f}$ arises near the horizon ($f \to 0$), compared with conformal matter case.