Planck scale effects on the stochastic gravitational wave background generated from cosmological hadronization transition: A qualitative study

TL;DR

This study explores how Planck scale modifications, via ultraviolet cutoffs, influence the stochastic gravitational wave background from the QCD hadronization transition, potentially aiding future detection and understanding of early universe physics.

Contribution

It demonstrates that Planck scale effects can alter gravitational wave spectra from QCD transitions without changing the critical temperature, offering new phenomenological insights.

Findings

Planck scale effects increase the gravitational wave power spectrum.

The QCD transition's critical temperature remains unaffected by these effects.

Enhanced prospects for detecting gravitational waves from early universe transitions.

Abstract

We reconsider the stochastic gravitational wave background spectrum produced during the first order hadronization process, in presence of ultraviolet cutoffs suggested by the generalized uncertainty principle as a promising signature towards the Planck scale physics. Unlike common perception that the dynamics of QCD phase transition and its phenomenological consequences are highly influenced by the critical temperature, we find that the underlying Planck scale modifications can affect the stochastic gravitational spectrum arising from the QCD transition without a noteworthy change in the relevant critical temperature. Our investigation shows that incorporating the natural cutoffs into MIT bag equation of state and background evolution leads to a growth in the stochastic gravitational power spectrum, while the relevant redshift of the QCD era, remains unaltered. These results have double implications from the point of view of phenomenology. Firstly, it is expected to enhance the chance of detecting the stochastic gravitational signal created by such a transition in future observations. Secondly, it gives a hint on the decoding from the dynamics of QCD phase transition.