Renormalization Group Flow Equation at Finite Density

Details Renormalization Group Flow Equation at Finite Density Renormalization Group Flow Equation at Finite Density

1999-08-04

arxiv.org/abs/nucl-th/9908019v2

Phys.Rev. C61 (2000) 035202

Physics

Nuclear Physics

Nuclear Theory

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

Scientific paper

10.1103/PhysRevC.61.035202

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.

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