Renormalization Group Flow Equation at Finite Density

Abstract

For the linear sigma model with quarks we derive renormalization group flow equations for finite temperature and finite baryon density using the heat kernel cutoff. At zero temperature we evolve the effective potential to the Fermi momentum and compare the solutions of the full evolution equation with those in the mean field approximation. We find a first order phase transition either from a massive constituent quark phase to a mixed phase, where both massive and massless quarks are present, or from a metastable constituent quark phase at low density to a stable massless quark phase at high density. In the latter solution, the formation of droplets of massless quarks is realized even at low density.

30 pages, 9 figures; typos corrected, section 3 revised, one reference added, two references updated, submitted to Phys. Rev. C

References in corpus (8)

• QCD at Finite Baryon Density: Nucleon Droplets and Color Superconductivity
• Diquark Bose Condensates in High Density Matter and Instantons
• Color Superconductivity and Chiral Symmetry Restoration at Nonzero Baryon Density and Temperature
• The phase diagram and bulk thermodynamical quantities in the NJL model at finite temperature and density
• Strange quark matter with dynamically generated quark masses
• Instability Induced Renormalization
• Quark Droplets in the NJL Mean Field
• Unifying Nucleon and Quark Dynamics at Finite Baryon Number Density

Cited by in corpus (18)

• Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
• Exact Renormalization Group Equations. An Introductory Review
• The Phase Diagram of the Quark-Meson Model
• Proper Time Flow Equation for Gravity
• Completeness and consistency of renormalisation group flows
• Towards an accurate determination of the critical exponents with the Renormalization Group flow equations
• Perturbation theory and renormalisation group equations
• On the Convergence of the Expansion of Renormalization Group Flow Equation
• Linking the Quark Meson Model with QCD at High Temperature
• Volume Dependence of the Pion Mass in the Quark-Meson-Model
• Proper time regulator and Renormalization Group flow
• Spontaneous Symmetry Breaking and Proper-Time Flow Equations
• The Functional Renormalization Group and O(4) scaling
• Perturbative and non-perturbative aspects of the proper time renormalization group
• Renormalization Group Flow in large N_c
• Renormalization group analysis of the three-dimensional Gross-Neveu model at finite temperature and density
• Unifying Nucleon and Quark Dynamics at Finite Baryon Number Density
• The Spectrum of the Dirac Operator in the Linear Sigma Model with Quarks