Barrow entropy and stochastic gravitational wave background generated from cosmological QCD phase transition

TL;DR

This paper explores how Barrow entropy influences the stochastic gravitational wave background generated during the early universe's QCD phase transition, affecting the signal's frequency and detectability.

Contribution

It introduces Barrow entropy corrections to the gravitational wave spectrum and analyzes their impact on the signal's characteristics and detection prospects.

Findings

Barrow entropy shifts the gravitational wave signal to lower frequencies.

The effect of Barrow entropy significantly alters the universe's temperature evolution.

Potential for detection by current and future gravitational wave experiments.

Abstract

In this work we investigate the stochastic gravitational wave background generated during the f\/irst-order cosmological QCD phase transition of the early universe in the framework of the Barrow entropy. We f\/irst derived the Barrow corrections to the expression of stochastic gravitational wave background spectrum in presence of trace anomaly. Then, by taking account of Bubble wall collisions, sound waves and magnetohydrodynamic turbulence as the sources of stochastic gravitational wave, an analysis of the influence of Barrow entropy on the total energy density and the peak signal of stochastic gravitational wave signal is carried out. Finally, we discuss the possibility of detectors for the detection of these stochastic gravitational wave signals. Our results show that effect of Barrow entropy plays an important role in the temporal evolution of temperature of the universe as a function of the Hubble parameter, which leads to the signal of stochastic gravitational wave to shift towards the lower frequency regime, making the signal of stochastic gravitational wave possible to be probed by relevant ongoing and upcoming gravitational waves experiments.