# Quantum corrections to a finite temperature BIon

## TL;DR

This paper investigates quantum fluctuations in a finite temperature BIon, revealing logarithmic entropy corrections and their impact on thermodynamic stability and critical points using Euclidean quantum gravity.

## Contribution

It introduces a detailed analysis of quantum corrections to a finite temperature BIon, including entropy, energy, and stability modifications.

## Key findings

- Quantum fluctuations produce logarithmic entropy corrections.
- Quantum corrections affect internal energy and specific heat.
- Stability and critical points are influenced by quantum effects.

## Abstract

In this paper, we will analyze a finite temperature BIon, which is a finite temperature brane-anti-brane wormhole configuration. We will analyze the quantum fluctuations to this BIon solution using the Euclidean quantum gravity. It will be observed that these quantum fluctuations produce logarithmic corrections to the entropy of this finite temperature BIon solution. These corrections to the entropy also correct the internal energy and the specific heat for this finite temperature BIon. We will also analyze the critical points for this finite temperature BIonic system, and analyze the effects of quantum corrections on the stability of this system.