Next-to-Next-to-Next-to-Leading Order Pressure of Cold Quark Matter : Leading Logarithm

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Gorda , T , Kurkela , A , Romatschke , P , Säppi , M & Vuorinen , A 2018 , ' Next-to-Next-to-Next-to-Leading Order Pressure of Cold Quark Matter : Leading Logarithm ' , Physical Review Letters , vol. 121 , no. 20 , 202701 . https://doi.org/10.1103/PhysRevLett.121.202701

Title: Next-to-Next-to-Next-to-Leading Order Pressure of Cold Quark Matter : Leading Logarithm
Author: Gorda, Tyler; Kurkela, Aleksi; Romatschke, Paul; Säppi, Matias; Vuorinen, Aleksi
Other contributor: University of Helsinki, Helsinki Institute of Physics
University of Helsinki, Helsinki Institute of Physics
University of Helsinki, Helsinki Institute of Physics

Date: 2018-11-13
Language: eng
Number of pages: 6
Belongs to series: Physical Review Letters
ISSN: 0031-9007
DOI: https://doi.org/10.1103/PhysRevLett.121.202701
URI: http://hdl.handle.net/10138/268481
Abstract: At high baryon chemical potential mu(B), the equation of state of QCD allows a weak-coupling expansion in the QCD coupling alpha(s). The result is currently known up to and including the full next-to-next-to-leading order alpha(2)(s). Starting at this order, the computations are complicated by the modification of particle propagation in a dense medium, which necessitates nonperturbative treatment of the scale alpha(1/2)(s) mu(B). We apply a hard-thermal-loop scheme for capturing the contributions of this scale to the weak-coupling expansion, and we use it to determine the leading-logarithm contribution to next-to-next-to-next-to-leading order: alpha(3)(s) ln(2) alpha(s). This result is the first improvement to the equation of state of massless cold quark matter in 40 years. The new term is negligibly small and thus significantly increases our confidence in the applicability of the weak-coupling expansion.
Subject: GAUGE VECTOR-MESONS
GROUND-STATE ENERGY
FINITE-TEMPERATURE
FERMIONS
DENSITY
PLASMA
GAS
114 Physical sciences
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