Year: 2023
Type: article
Abstract: We determine the pressure of a cold and dense electron gas to a nearly complete next-to-next-to-next-to-leading order (${\mathrm{N}}^{3}\mathrm{LO}$) in the fine-structure constant ${\ensuremath{\alpha}}_{e}$, 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 $O({\ensuremath{\alpha}}_{e}^{3}\mathrm{ln}{\ensuremath{\alpha}}_{e})$ 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 ${\mathrm{N}}^{3}\mathrm{LO}$ calculation for cold and dense quark matter.
Institutions: GSI Helmholtz Centre for Heavy Ion Research, Technische Universität Darmstadt, ExtreMe Matter Institute EMMI, University of Stavanger, University of Helsinki, Helsinki Institute of Physics, Fondazione Bruno Kessler, European Centre for Theoretical Studies in Nuclear Physics and Related Areas
Language: Latvian
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4320913049