Perturbative Yukawa theory at finite density: the role of masses and renormalization group flow at two loops

Abstract

Yukawa theory at vanishing temperature provides (one of the ingredients for) an effective description of the thermodynamics of a variety of cold and dense fermionic systems. We study the role of masses and the renormalization group flow in the calculation of the equation of state up to two loops within the MSbar scheme. Two-loop integrals are computed analytically for arbitrary fermion and scalar masses, and expressed in terms of well-known special functions. The dependence of the renormalization group flow on the number of fermion flavors is also discussed.

arXiv comment17 pages, 11 figures, uses package feynmp; v2: minor modifications, 1 reference added; matches published version

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Cited by in corpus (17)

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• Meson fluctuations and thermodynamics of the Polyakov loop extended quark-meson model
• Nonequilibrium chiral fluid dynamics including dissipation and noise
• Droplets in the cold and dense linear sigma model with quarks
• The Surface Tension of Quark Matter in a Geometrical Approach
• Thermodynamics of (2+1)-flavor strongly interacting matter at nonzero isospin
• Revisiting the Phase Structure of the Polyakov-quark-meson Model in the presence of Vacuum Fermion Fluctuation
• Role of mesonic fluctuations in the Polyakov loop extended quark-meson model at imaginary chemical potential
• Effect of quark masses on the QCD presssure in a strong magnetic background
• Nonperturbative Yukawa theory at finite density and temperature
• Comparing symmetry restoration trends for meson masses and mixing angles in the QCD-like three quark flavor models
• Exploring criticality in the QCD-like two quark flavour models
• The impact of quark masses on pQCD thermodynamics
• Mass and chemical asymmetry in QCD matter
• Chiral symmetry breaking and pion condensation in the early universe
• Semiclassical partition function for the double-well potential