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.

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

References in corpus (5)

• Emergence of Tricritical Point and Liquid-Gas Phase in the Massless 2+1 Dimensional Gross-Neveu Model
• The phase structure of a chirally invariant lattice Higgs-Yukawa model - numerical simulations
• Updating the Phase Diagram of the Gross-Neveu Model in 2+1 Dimensions
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Cited by in corpus (5)

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• Droplets in the cold and dense linear sigma model with quarks
• Nonperturbative Yukawa theory at finite density and temperature
• Mass and chemical asymmetry in QCD matter
• Chiral symmetry breaking and pion condensation in the early universe