On high-order perturbative calculations at finite density

Abstract

We discuss the prospects of performing high-order perturbative calculations in systems characterized by a vanishing temperature but finite density. In particular, we show that the determination of generic Feynman integrals containing fermionic chemical potentials can be reduced to the evaluation of three-dimensional phase space integrals over vacuum on-shell amplitudes - a result reminiscent of a previously proposed "naive real-time formalism" for vacuum diagrams. Applications of these rules are discussed in the context of the thermodynamics of cold and dense QCD, where it is argued that they facilitate an extension of the Equation of State of cold quark matter to higher perturbative orders.

arXiv comment22 pages, 3 figures; v2: discussion extended and references added

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Cited by in corpus (24)

• Perturbative Thermal QCD: Formalism and Applications
• Equation of State of Cold Quark Matter to $O({\alpha }_s^3\ln {\alpha }_s)$
• Remarks on nuclear matter: how an ${\omega }_0$ condensate can spike the speed of sound, and a model of $Z(3)$ baryons
• Fluctuations in cool quark matter and the phase diagram of Quantum Chromodynamics
• Radial oscillations of quark stars admixed with dark matter
• The Myriad Uses of Instantons
• Structure of magnetized strange quark star in perturbative QCD
• Strange magnetars admixed with fermionic dark matter
• $R^2$-gravity quark stars from perturbative QCD
• Augmenting the residue theorem with boundary terms in finite-density calculations
• Degenerate fermionic matter at N${}^3$LO: Quantum Electrodynamics
• Cold and dense perturbative QCD in a very strong magnetic background
• Quark Matter Equation of State from Perturbative QCD
• Equilibrium thermodynamic susceptibilities for a dense degenerate Dirac field
• When cold, dense quarks in 1+1 and 3+1 dimensions are not a Fermi liquid
• Cold quark matter with heavy quarks and the stability of charm stars
• Integrating by parts at finite density
• Influence of dark matter on the structure of strange quark stars in one-fluid model
• Lepton-rich cold QCD matter in protoneutron stars
• Strongly interacting matter in extreme magnetic fields
• Cold Quark Matter: Renormalization Group Improvement at next-to-next-to leading order
• Thermodynamics of strongly magnetized dense quark matter from hard dense loop perturbation theory
• Momentum expansions in finite-density perturbative calculations
• Spatial integrals in non-standard dimensions via Gaussian measure and analytic continuation