dorsal/arxiv
View SchemaRenormalization Group Flow Equation at Finite Density
| Authors | J. Meyer, G. Papp, H. -J. Pirner, T. Kunihiro |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9908019 |
| URL | https://arxiv.org/abs/nucl-th/9908019 |
| DOI | 10.1103/PhysRevC.61.035202 |
| Journal | Phys.Rev. C61 (2000) 035202 |
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.
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"abstract": "For the linear sigma model with quarks we derive renormalization group flow\nequations for finite temperature and finite baryon density using the heat\nkernel cutoff. At zero temperature we evolve the effective potential to the\nFermi momentum and compare the solutions of the full evolution equation with\nthose in the mean field approximation. We find a first order phase transition\neither from a massive constituent quark phase to a mixed phase, where both\nmassive and massless quarks are present, or from a metastable constituent quark\nphase at low density to a stable massless quark phase at high density. In the\nlatter solution, the formation of droplets of massless quarks is realized even\nat low density.",
"arxiv_id": "nucl-th/9908019",
"authors": [
"J. Meyer",
"G. Papp",
"H. -J. Pirner",
"T. Kunihiro"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1103/PhysRevC.61.035202",
"journal_ref": "Phys.Rev. C61 (2000) 035202",
"title": "Renormalization Group Flow Equation at Finite Density",
"url": "https://arxiv.org/abs/nucl-th/9908019"
},
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