Minimal length, maximal momentum and stochastic gravitational waves spectrum generated from cosmological QCD phase transition

TL;DR

This paper explores how the Generalized Uncertainty Principle influences the evolution and spectrum of stochastic gravitational waves generated during the QCD phase transition, potentially aiding future detection efforts.

Contribution

It introduces the impact of GUP parameters on SGW spectrum evolution from the QCD epoch to today, highlighting possible observational signatures.

Findings

GUP parameter $eta$ slightly increases SGW frequency at low frequencies

The effect of GUP can enhance SGW signals relevant for future detectors

The universe's temperature evolution is analyzed within the GUP framework

Abstract

We investigate thoroughly the temporal evolution of the universe temperature as a function of the Hubble parameter associated with the Stochastic Gravitational Wave (SGW), that formed at the cosmological QCD phase transition epoch to the current epoch, within the Generalized Uncertainty Principle (GUP) framework. Here we use GUP version which provide constraints on the minimum measurable length and the maximum observable momentum, that characterized by a free parameter $\alpha$. We study the effect of this parameter on the SGW background. We show that the effect can slightly enhance the SGW frequency in the lower frequency regime which might be important in the detection of SGW in the future GW detection facilities.