Fernandez L, Kneur JL. All Order Resummed Leading and Next-to-Leading Soft Modes of Dense QCD Pressure.
PHYSICAL REVIEW LETTERS 2022;
129:212001. [PMID:
36461967 DOI:
10.1103/physrevlett.129.212001]
[Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/22/2021] [Revised: 06/09/2022] [Accepted: 10/21/2022] [Indexed: 06/17/2023]
Abstract
The cold and dense QCD equation of state at high baryon chemical potential μ_{B} involves at order α_{s}^{2} an all-loop summation of the soft mode m_{E}∼α_{s}^{1/2}μ_{B} contributions. Recently, the complete soft contributions at order α_{s}^{3} were calculated using the hard thermal loop formalism. By identifying massive renormalization group properties of the hard thermal loop theory, we resum to all orders α_{s}^{p}, p≥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 reduce residual scale dependence. Our results should help to reduce uncertainties in extending the equation of state in the intermediate μ_{B} regime, relevant in particular for the phenomenology of neutron stars.
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