Equation of state at finite temperature and finite chemical potential using PNJL model

Seminars

Seminar on Theory of hadronic matter under extreme conditions

Date and Time: Monday, 3 September 2018, at 4:00 PM

Venue: Blokhintsev Hall (4th floor), Bogoliubov Laboratory of Theoretical Physics

Seminar topic: “Equation of state at finite temperature and finite chemical potential using PNJL model”

Speaker: David Fuseau (SUBATECH, Nantes, France)

Abstract:

We present an equation of state at finite temperature and finite chemical potential using the PNJL model. The equation of state goes to the next to leading order O(1/N_c) including mesons contributing to the pressure of the medium below T_c. Together with a new parametrisation of the effective Polyakov loop involving the presence of quarks in the determination of the critical temperature, we determine pressure at zero chemical potential matching the result of the lattice and expand to finite chemical potential. Also derivatives such as the entropy density, energy density, measured interaction and speed of sound are very similar to lattice results at zero chemical potential and can be expanded to finite chemical potential. Regarding the finite chemical potential, the Taylor expansion around zero chemical potential also matches the results of the lattice. Main applications could be neutron star calculations and input for transport hadronisation.