Abstract
The propagation of long-wavelength gluons through a dense QCD medium at high baryon chemical potential μB is qualitatively modified by the effects of screening, arising from scatterings off the high-momentum quarks in the medium. This same screening phenomenon also impacts gluons occurring in loop corrections to the pressure of cold quark matter, leading to contributions from the parametric scale αs1/2μB, starting at next-to-next-to-leading order (N2LO) in the strong coupling constant αs. At next-to-next-to-next-to-leading order (N3LO), interactions between these long-wavelength gluonic modes contribute to the pressure. These interaction corrections have recently been computed in Ref [1, 2], and the inclusion of these interactions slightly improves the convergence of the equation of state of cold quark matter. In these proceedings, we present these results and provide details summarizing how this lengthy calculation was performed.
Highlights
In recent years, the cold quark-matter (QM) equation of state (EoS)has been used as a nontrivial high-density limit [3] to constrain the EoS of neutron-star (NS) matter at much lower baryon densities nB [4,5,6]
This cold-QM EoS can only be used at densities nB & 40n0, with n0 ⇡ 0.16 fm−3 corresponding to nuclear saturation density, where calculations in perturbative Quantum chromodynamics [1, 2, 4, 7] show a small renormalization-scale dependence and are under perturbative control
In calculations at high density, one typically chooses the renormalization scale ⇤ ̄ to be proportional to the baryon chemical potential
Summary
The lack of a clear split between the hard and soft modes leads to an ambiguous semisoft range of energies and momenta mE ⌧ !, |k| ⌧ μB in which resummations are not necessary, but one may still use the kinematic simplifications of the HTL theory. This means that each loop integral in the diagram is divergent in the UV, leading to each of the above HTL graphs contributing terms to the pressure at orders 1/✏2, 1/✏, and
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
