Logarithmic corrections of charged hairy black hole in (2+1) dimension

TL;DR

This paper investigates logarithmic corrections to a charged hairy black hole in (2+1) dimensions using thermodynamic and conformal field theory methods, providing a comparative analysis of the approaches.

Contribution

It introduces two methods to compute logarithmic corrections for a charged hairy black hole in (2+1) dimensions and compares their results.

Findings

Both methods yield consistent logarithmic correction results.

The thermodynamic approach effectively captures quantum corrections.

Conformal field theory provides an alternative perspective on black hole corrections.

Abstract

We consider a charged black hole with a scalar field that is coupled to gravity in (2 + 1)-dimensions. We compute the logarithmic corrections to the corresponding system using two approaches. In the first method we take advantage of thermodynamic properties. In the second method we use the metric function that is suggested by conformal field theory. Finally, we compare the results of the two approaches.