dorsal/arxiv
View SchemaRenormalization Group Flow and Equation of State of Quarks and Mesons
| Authors | B. -J. Schaefer, H. -J. Pirner |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9903003 |
| URL | https://arxiv.org/abs/nucl-th/9903003 |
| DOI | 10.1016/S0375-9474(99)00409-1 |
| Journal | Nucl.Phys. A660 (1999) 439-474 |
Abstract
Nonperturbative flow equations within an effective linear sigma model coupled to constituent quarks for two quark flavors are derived and solved. A heat kernel regularization is employed for a renormalization group improved effective potential. We determine the initial values of the coupling constants in the effective potential at zero temperature. Solving the evolution equations with the same initial values at finite temperature in the chiral limit, we find a second order phase transition at T_c \approx 150 MeV. Due to the smooth decoupling of massive modes, we can directly link the low-temperature four-dimensional theory to the three-dimensional high-temperature theory. We calculate the equation of state in the chiral limit and for finite pion masses and determine universal critical exponents.
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"abstract": "Nonperturbative flow equations within an effective linear sigma model coupled\nto constituent quarks for two quark flavors are derived and solved. A heat\nkernel regularization is employed for a renormalization group improved\neffective potential. We determine the initial values of the coupling constants\nin the effective potential at zero temperature. Solving the evolution equations\nwith the same initial values at finite temperature in the chiral limit, we find\na second order phase transition at T_c \\approx 150 MeV. Due to the smooth\ndecoupling of massive modes, we can directly link the low-temperature\nfour-dimensional theory to the three-dimensional high-temperature theory. We\ncalculate the equation of state in the chiral limit and for finite pion masses\nand determine universal critical exponents.",
"arxiv_id": "nucl-th/9903003",
"authors": [
"B. -J. Schaefer",
"H. -J. Pirner"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/S0375-9474(99)00409-1",
"journal_ref": "Nucl.Phys. A660 (1999) 439-474",
"title": "Renormalization Group Flow and Equation of State of Quarks and Mesons",
"url": "https://arxiv.org/abs/nucl-th/9903003"
},
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