Cold quark matter at N3LO: soft contributions
Abstract
High-order perturbative calculations for thermodynamic quantities in QCD are complicated by the physics of dynamical screening that affects the soft, long-wavelength modes of the system. Here, we provide details for the evaluation of this soft contribution to the next-to-next-to-next-to-leading order (N3LO) pressure of high-density, zero-temperature quark matter (QM), complementing our accompanying paper in arXiv:2103.05658. Our calculation requires the determination of the pressure of the hard-thermal-loop (HTL) effective theory to full two-loop order at zero temperature, which we go through in considerable detail. In addition to this, we comprehensively discuss the structure of the weak-coupling expansion of the QM pressure, and lay out a roadmap towards the evaluation of the contributions missing from a full N3LO result for this quantity.
Cite
@article{arxiv.2103.07427,
title = {Cold quark matter at N3LO: soft contributions},
author = {Tyler Gorda and Aleksi Kurkela and Risto Paatelainen and Saga Säppi and Aleksi Vuorinen},
journal= {arXiv preprint arXiv:2103.07427},
year = {2022}
}
Comments
49 pages + 30 pages appendices = 79 pages total, 7 figures, 4 tables; Long companion paper for arXiv:2103.05658. Changes from v1: further discussions, references, and clarifications added; some equations moved to appendices. Version published in PRD