8–12 Oct 2018
CERN
Europe/Zurich timezone

NNNLO pressure of cold quark matter: leading logarithm

12 Oct 2018, 10:00
1h
4/2-037 - TH meeting room (CERN)

4/2-037 - TH meeting room

CERN

18
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Speaker

Tyler Gorda (University of Helsinki)

Description

At high baryon chemical potential mu, the pressure of QCD allows a weak-coupling expansion in the QCD coupling parameter alpha_s. The result is currently known up to and including the full NNLO alpha_s^2, first computed in 1977 for massless quarks by Freedman and McLerran. Starting at this order, computations are complicated by the modification of particle propagation in a dense medium, which necessitates non-perturbative treatment of the so-called soft scale alpha_s^(1/2) mu. In this talk, I will describe a Hard-Thermal-Loop scheme for capturing the contributions of this scale to the weak-coupling expansion, and show how to use it to determine the leading-logarithm contribution at NNNLO: alpha_s^3 ln(alpha_s)^2. This result is the first improvement to the pressure of massless cold quark matter in 40 years. I will also say a few words about current work being undertaken to expand this result to the subleading linear logarithm: alpha_s^3 ln(alpha_s).

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