Gravitational Waves from Confinement in $SU(N)$ Yang-Mills Theory

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Auteurs principaux: Huber, Stephan, Phipps, Rory, Reichert, Manuel
Format: Preprint
Publié: 2025
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author Huber, Stephan
Phipps, Rory
Reichert, Manuel
author_facet Huber, Stephan
Phipps, Rory
Reichert, Manuel
contents We provide a detailed analysis of the gravitational wave spectrum of $SU(N)$ pure Yang-Mills theory. The confinement phase transition is described with an effective Polyakov loop model, using the latest lattice data as an input. In particular, recent lattice studies clarified the large-$N$ scaling of the surface tension, which we incorporate through a modification of the kinetic term. We demonstrate that the thin-wall approximation agrees with the Polyakov loop model at small $N$ while it breaks down at large $N$. Furthermore, we include reliable estimates of the bubble wall velocity using a recently developed framework based on a large enthalpy jump at the phase transition. Altogether, this allows us to derive the gravitational wave signals for all $SU(N)$ confinement phase transitions and clarifies the behaviour at large $N$. The strongest signal arises for $N=20$, but overall the predicted signals remain rather weak. Our work paves the way for future studies of other gauge groups and systems with fermions.
format Preprint
id arxiv_https___arxiv_org_abs_2512_14530
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Gravitational Waves from Confinement in $SU(N)$ Yang-Mills Theory
Huber, Stephan
Phipps, Rory
Reichert, Manuel
High Energy Physics - Phenomenology
Cosmology and Nongalactic Astrophysics
High Energy Physics - Lattice
High Energy Physics - Theory
We provide a detailed analysis of the gravitational wave spectrum of $SU(N)$ pure Yang-Mills theory. The confinement phase transition is described with an effective Polyakov loop model, using the latest lattice data as an input. In particular, recent lattice studies clarified the large-$N$ scaling of the surface tension, which we incorporate through a modification of the kinetic term. We demonstrate that the thin-wall approximation agrees with the Polyakov loop model at small $N$ while it breaks down at large $N$. Furthermore, we include reliable estimates of the bubble wall velocity using a recently developed framework based on a large enthalpy jump at the phase transition. Altogether, this allows us to derive the gravitational wave signals for all $SU(N)$ confinement phase transitions and clarifies the behaviour at large $N$. The strongest signal arises for $N=20$, but overall the predicted signals remain rather weak. Our work paves the way for future studies of other gauge groups and systems with fermions.
title Gravitational Waves from Confinement in $SU(N)$ Yang-Mills Theory
topic High Energy Physics - Phenomenology
Cosmology and Nongalactic Astrophysics
High Energy Physics - Lattice
High Energy Physics - Theory
url https://arxiv.org/abs/2512.14530