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arXiv · 2506.07767

The stochastic gravitational wave background from QCD phase transition in the framework of higher-order GUP

Zhong-Wen Feng·Long-Xiang Li·Shi-Yu Li·Qing-Quan Jiang·Xia Zhou
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Abstract

This work studies the impact of a new higher-order generalized uncertainty principle (GUP) on the stochastic gravitational wave background (SGWB) associated with a QCD-scale first-order phase transition. Assuming a strongly first-order transition at the QCD-scale as a phenomenological benchmark, the analysis shows that the sign and magnitude of the dimensionless deformation parameter $\beta_0$ play a crucial role. For negative $\beta_0$, the thermodynamic quantities of the radiation fluid develop a maximal temperature beyond which entropy and pressure vanish, and the SGWB spectrum exhibits divergent behavior at high temperatures, so this branch is discarded as phenomenologically inconsistent. For positive $\beta_0$, the higher-order GUP shifts the SGWB peak frequency towards lower values and slightly enhances the peak energy density, with the size of the effect controlled by $\beta_0$. For natural values $\beta_0=\mathcal{O}\left( 1 \right)$ the corrections at QCD temperatures are strongly suppressed, whereas larger benchmark values still compatible with existing experimental and cosmological bounds can induce appreciable shifts in the SGWB spectrum. A future detection of a QCD-scale first-order SGWB would therefore allow the framework developed here to be used to translate the measured signal into constraints on the higher-order GUP parameter, providing an indirect probe of quantum gravity effects.

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Zhong-Wen Feng, Long-Xiang Li, Shi-Yu Li, Qing-Quan Jiang, Xia Zhou. 2025-06-09. The stochastic gravitational wave background from QCD phase transition in the framework of higher-order GUP. https://arxiv.org/abs/2506.07767

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