Köln 2025 – scientific programme
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HK: Fachverband Physik der Hadronen und Kerne
HK 50: Heavy-Ion Collisions and QCD Phases VIII
HK 50.5: Talk
Thursday, March 13, 2025, 16:45–17:00, HS 3 Chemie
Equation of state at finite density from functional methods — •Omar Perez-Figueroa1, Theo F. Motta1,2, and Christian S. Fischer1,3 — 1Institut für Theoretische Physik, Justus-Liebig-Universität Gießen, 35392 Gießen, Germany. — 2Technische Universität Darmstadt, Fachbereich Physik, Institut für Kernphysik, Theoriezentrum, Schlossgartenstr. 2 D-64289 Darmstadt, Germany. — 3Helmholtz Forschungsakademie Hessen für FAIR (HFHF), GSI Helmholtzzentrum für Schwerionenforschung, Campus Gießen, 35392 Gießen, Germany.
In this short talk, we present first results for a state of the art calculation to obtain the quark-gluon matter pressure at finite chemical potential. To this end we employ Dyson-Schwinger equations (DSE) in a 2+1 flavor scenario that has been tested successfully elsewhere in the QCD phase diagram. The equation of state for quark-gluon matter can be used as input for the hydrostatic equilibrium equation of cold neutron stars. Two paths were explored for the calculations. First, employing an effective action expansion derived by functional methods, the pressure at finite and zero chemical potential can be compared or, second, the number density can be calculated and further integrated to yield the pressure. The latter option has already been proved useful in computing quark and baryon number fluctuations at finite temperature. Both methods are compared and some physical consequences are discussed.
Keywords: Phase diagram; Equation of state; Finite density; Functional methods; DSE