NNNLO pressure of cold quark matter: leading logarithm
Abstract
At high baryon chemical potential mu_B, the equation of state of QCD allows a weakcoupling expansion in the QCD coupling alpha_s. The result is currently known up to and including the full nexttonexttoleading order (NNLO) alpha_s^2. 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 Sqrt(alpha_s)*mu_B. In this work, we apply a HardThermalLoop scheme for capturing the contributions of this scale to the weakcoupling expansion, and use it to determine the leadinglogarithm contribution to NNNLO: alpha_s^3 (ln alpha_s)^2. 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 weakcoupling expansion.
 Publication:

arXiv eprints
 Pub Date:
 July 2018
 arXiv:
 arXiv:1807.04120
 Bibcode:
 2018arXiv180704120G
 Keywords:

 High Energy Physics  Phenomenology;
 Astrophysics  High Energy Astrophysical Phenomena;
 Nuclear Theory
 EPrint:
 8 pages with appendix, 2 figures