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Degenerate fermionic matter at N3LO: Quantum electrodynamics

Tyler Gorda1,2, Aleksi Kurkela3, Juuso Österman4, Risto Paatelainen4, Saga Säppi5, Philipp Schicho4, Kaapo Seppänen4, and Aleksi Vuorinen4

  • 1Department of Physics, Technische Universität Darmstadt, 64289 Darmstadt, Germany
  • 2ExtreMe Matter Institute EMMI and Helmholtz Research Academy for FAIR, GSI Helmholtzzentrum für Schwerionenforschung GmbH, 64291 Darmstadt, Germany
  • 3Faculty of Science and Technology, University of Stavanger, 4036 Stavanger, Norway
  • 4Department of Physics and Helsinki Institute of Physics, University of Helsinki, P.O. Box 64, FI-00014 University of Helsinki, Finland
  • 5European Centre for Theoretical Studies in Nuclear Physics and Related Areas (ECT*) and Fondazione Bruno Kessler, Strada delle Tabarelle 286, I-38123 Villazzano (TN), Italy

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Phys. Rev. D 107, L031501 – Published 15 February, 2023

DOI: https://doi.org/10.1103/PhysRevD.107.L031501

Abstract

We determine the pressure of a cold and dense electron gas to a nearly complete next-to-next-to-next-to-leading order (N3LO) in the fine-structure constant αe, utilizing a new result for the two-loop photon self-energy from a companion paper. Our result contains all infrared-sensitive contributions to the pressure at this order, including the coefficient of the O(αe3lnαe) term, and leaves only a single coefficient associated with the contributions of unresummed hard momenta undetermined. Moreover, we explicitly demonstrate the complete cancellation of infrared divergences according to the effective-field-theory paradigm by determining part of the hard contributions at this order. Our calculation provides the first improvement to a 45-year-old milestone result and demonstrates the feasibility of the corresponding N3LO calculation for cold and dense quark matter.

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Soft photon propagation in a hot and dense medium to next-to-leading order

Tyler Gorda, Aleksi Kurkela, Juuso Österman, Risto Paatelainen, Saga Säppi, Philipp Schicho, Kaapo Seppänen, and Aleksi Vuorinen
Phys. Rev. D 107, 036012 (2023)

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Phys. Rev. D 107, L031501– Published 15 February, 2023
  • Received 23 May 2022
  • Accepted 7 December 2022
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