• Open Access

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

Tyler Gorda, Aleksi Kurkela, Paul Romatschke, Saga Säppi, and Aleksi Vuorinen
Phys. Rev. Lett. 121, 202701 – Published 13 November 2018
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Abstract

At high baryon chemical potential μB, the equation of state of QCD allows a weak-coupling expansion in the QCD coupling αs. The result is currently known up to and including the full next-to-next-to-leading order αs2. 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 αs1/2μB. 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: αs3ln2αs. 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.

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  • Received 20 July 2018
  • Revised 27 September 2018

DOI:https://doi.org/10.1103/PhysRevLett.121.202701

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

Tyler Gorda1,6, Aleksi Kurkela2,3, Paul Romatschke4,5, Saga Säppi1, and Aleksi Vuorinen1

  • 1Helsinki Institute of Physics and Department of Physics, FI-00014 University of Helsinki, Finland
  • 2Theoretical Physics Department, CERN, 1211 Geneva, Switzerland
  • 3Faculty of Science and Technology, University of Stavanger, 4036 Stavanger, Norway
  • 4Department of Physics, University of Colorado Boulder, Boulder, Colorado 80302, USA
  • 5Center for Theory of Quantum Matter, University of Colorado, Boulder, Colorado 80309, USA
  • 6Department of Physics, University of Virginia, Charlottesville, Virginia 22904, USA

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Issue

Vol. 121, Iss. 20 — 16 November 2018

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