Chiral phase transition of a dense, magnetized and rotating quark matter

Abstract

We investigate the chiral symmetry restoration/breaking of a dense, magnetized and rotating quark matter within the Nambu Jona-Lasinio model including $N_f=2$ and $N_c=3$ numbers of flavors and colors, respectively. Imposing the spectral boundary conditions, as well as the positiveness of energy levels, lead to a correlation between the magnetic and rotation fields such that strongly magnetized plasma can not rotate anymore. We solve the gap equation at zero and finite temperature. At finite temperature and baryon chemical potential ${\mu }_B$, we sketch the phase diagrams $T_c({\mu }_B)$ and $T_c(R\Omega )$ in different cases. As a result, we always observe inverse-rotational catalysis mean to decrease $T_c$ by increasing $R\Omega$. But the magnetic field has a more complex structure in the phase diagram. For slowly rotating plasma, we find that $T_c$ decreases by increasing $eB$, while in the fast rotating plasma we see that $T_c$ increases by increasing $eB$. Also, we locate exactly the position of Critical End Point by solving the equations of first and second derivatives of effective action with respect to the order parameters, simultaneously.

18 pages, 15 figures, 5 tables, comments are welcome

References in corpus (11)

• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• Equation of State of a Dense and Magnetized Fermion System
• Inhomogeneous chiral condensates
• Inverse magnetic catalysis in dense holographic matter
• Quark-hadron phase transition in a magnetic field
• Interacting fermions in rotation: chiral symmetry restoration, moment of inertia and thermodynamics
• Can a strong magnetic background modify the nature of the chiral transition in QCD?
• Charge redistribution from anomalous magnetovorticity coupling
• Non-equilibrium physics at a holographic chiral phase transition
• QCD phase structure under rotation
• Chiral phase transition in a rotating sphere

Cited by in corpus (7)

• The Splitting of Chiral and Deconfinement Phase Transitions induced by Rotation
• Quark-meson model under rotation: A functional renormalization group study
• Inhibition of splitting of the chiral and deconfinement transition due to rotation in QCD: the phase diagram of linear sigma model coupled to Polyakov loop
• Chiral and deconfinement thermal transitions at finite quark spin polarization in lattice QCD simulations
• Chiral and deconfinement transitions in spin-polarized quark matter
• On the origin of mixed inhomogeneous phase in vortical gluon plasma
• Firewall boundaries and mixed phases of rotating quark matter in linear sigma model