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arXiv · 2109.02410

All order resummed leading and next-to-leading soft modes of dense QCD pressure

Loïc Fernandez·Jean-Loïc Kneur
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Abstract

The cold and dense QCD equation of state (EoS) at high baryon chemical potential $μ_B$ involves at order $α^2_S$ an all-loop summation of the soft mode $m_E\sim α_S^{1/2} μ_B$ contributions. Recently, the complete soft contributions at order $α^3_S$ were calculated, using the hard thermal loop (HTL) formalism. By identifying {\em massive} renormalization group (RG) properties within HTL, we resum to all orders $α_S^p, p\ge 3$ the leading and next-to-leading logarithmic soft contributions. We obtain compact analytical expressions, that show visible deviations from the state-of-the art results, and noticeably reduced residual scale dependence. Our results should help to reduce uncertainties in extending the EoS in the intermediate $μ_B$ regime, relevant in particular for the phenomenology of neutron stars.

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Loïc Fernandez, Jean-Loïc Kneur. 2022-10-23. All order resummed leading and next-to-leading soft modes of dense QCD pressure. https://doi.org/10.1103/physrevlett.129.212001

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