Entropy of a charged black hole in two dimensions without cutoff

TL;DR

This paper derives a consistent entropy calculation for a scalar field around a two-dimensional charged black hole using the generalized uncertainty principle, avoiding artificial cutoffs and issues with extremal cases.

Contribution

It introduces the GUP to compute black hole entropy in 2D without artificial cutoff, providing a novel approach compared to the brick wall model.

Findings

Entropy obtained without artificial cutoff

Consistent results for extremal black holes

GUP-based method differs from brick wall model

Abstract

By introducing the generalized uncertainty principle (GUP) on quantum density states, we newly obtain a consistent entropy of a scalar field on the (1+1)-dimensional Maxwell-dilaton background without an artificial cutoff in contrast to the results of the brick wall model, which depend on the choice of the Hawking temperature for the extremal case.