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arXiv · 2307.08734

Equation of State of Cold Quark Matter to $O(\alpha_s^3 \ln \alpha_s)$

Tyler Gorda·Risto Paatelainen·Saga Säppi·Kaapo Seppänen
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Abstract

Accurately understanding the equation of state (EOS) of high-density, zero-temperature quark matter plays an essential role in constraining the behavior of dense strongly interacting matter inside the cores of neutron stars. In this Letter, we study the weak-coupling expansion of the EOS of cold quark matter and derive the complete, gauge-invariant contributions from the long-wavelength, dynamically screened gluonic sector at next-to-next-to-next-to-leading order (N3LO) in the strong coupling constant $\alpha_s$. This elevates the EOS result to the $O(\alpha_s^3 \ln \alpha_s)$ level, leaving only one unknown constant from the unscreened sector at N3LO, and places it on par with its high-temperature counterpart from 2003.

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Tyler Gorda, Risto Paatelainen, Saga Säppi, Kaapo Seppänen. 2023-07-17. Equation of State of Cold Quark Matter to $O(\alpha_s^3 \ln \alpha_s)$. https://doi.org/10.1103/physrevlett.131.181902

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