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arXiv · 2610.23676

The pressure of the gluon plasma at $\mathcal{O}(g_s^6)$, perturbatively

Mikael Chala·Luis Gil·Javier López Miras
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Abstract

We determine the four-loop hard-scale matching correction to the pressure of the gluon plasma at high temperature. This result completes the long-standing calculation through $\mathcal{O}(g_s^6)$, where $g_s$ is the strong coupling. Our result agrees, within uncertainties, with the value obtained in arXiv:1204.6184 by fitting the perturbative series to continuum-extrapolated lattice data, thereby providing the first direct test of the weak-coupling expansion at this order.

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Mikael Chala, Luis Gil, Javier López Miras. 2026-10-16. The pressure of the gluon plasma at $\mathcal{O}(g_s^6)$, perturbatively. https://arxiv.org/abs/2610.23676

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