Cold quark matter at N3LO: Soft contributions
Peer reviewed, Journal article
Published version
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https://hdl.handle.net/11250/3058314Utgivelsesdato
2021Metadata
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Originalversjon
Gorda, T., Kurkela, A., Paatelainen, R., Säppi, S., & Vuorinen, A. (2021). Cold quark matter at N 3 LO: Soft contributions. Physical Review D, 104(7), 074015. 10.1103/PhysRevD.104.074015Sammendrag
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 ( N 3 LO ) pressure of high-density, zero-temperature quark matter (QM), complementing our accompanying Letter [T. Gorda et al., Phys. Rev. Lett. 127, 162003 (2021)]. Our calculation requires the determination of the pressure of the hard-thermal-loop 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 N 3 LO result for this quantity.