The quark-hadron thermodynamics in magnetic field

Abstract

Nonperturbative treatment of quark-hadron transition at nonzero temperature T and chemical potential mu in the framework of Field Correlator Method is generalized to the case of nonzero magnetic field B. A compact form of the quark pressure for arbitrary B, mu, T is derived. As a result the transition temperature is found as a function of B and mu, which depends on only parameters: vacuum gluonic condensate G_2 and the field correlator D_1^E(x), which defines the Polyakov loops and it is known both analytically and on the lattice. A moderate (25%) decrease of T_c(mu=0) for eB changing from zero to 1 GeV^2 is found. A sequence of transition curves in the (mu, T) plane is obtained for B in the same interval, monotonically decreasing in scale for growing B.

24 pages, 2 figures, misprints corrected, references added

References in corpus (14)

• Inverse magnetic catalysis in dense holographic matter
• Quark-hadron phase transition in a magnetic field
• The chiral condensate in a constant electromagnetic field
• External Fields and Chiral Symmetry Breaking in the Sakai-Sugimoto Model
• Entanglement between chiral and deconfinement transitions under strong uniform magnetic background field
• The chiral transition in a magnetic background: Finite density effects and the functional renormalization group
• Can a strong magnetic background modify the nature of the chiral transition in QCD?
• Vacuum phase transition at nonzero baryon density
• Deconfinement transition for nonzero baryon density in the Field Correlator Method
• Nonperturbative equation of state of quark-gluon plasma. Applications
• Nuclear matter at high density: Phase transitions, multiquark states, and supernova outbursts
• Astrophysical constraints on the confining models : the Field Correlator Method
• Polyakov loop in different representations of SU(3) at finite temperature
• Thermodynamic properties of QCD in external magnetic fields

Cited by in corpus (20)

• Deconfinement transition in two-flavour lattice QCD with dynamical overlap fermions in an external magnetic field
• QCD phase diagram in a magnetic background for different values of the pion mass
• Magnetic field effects on the static quark potential at zero and finite temperature
• Chiral and deconfinement transitions in a magnetic background using the functional renormalization group with the Polyakov loop
• Finite-density QCD transition in magnetic field background
• Thermodynamics of 2+1 Flavor Polyakov-Loop Quark-Meson Model under External Magnetic Field
• Nonperturbative SU(3) thermodynamics and the phase transition
• Effect of interactions on the topological expression for the chiral separation effect
• Quark mass dependence of the QCD temperature transition in magnetic fields
• Magnetic susceptibility at zero and nonzero chemical potential in QCD and QED
• QCD Equation of State and Cosmological Parameters in Early Universe
• Pion Pressure in a Magnetic Field
• Low-energy relation for the trace of the energy-momentum tensor in QCD and the gluon condensate in a magnetic field
• Non-perturbative Suppression of Chiral Vortical Effect in Hot (s)QGP for Hyperons Spin Polarization in Heavy Ion Collisions
• Magnetized quark-gluon plasma at the LHC
• Phonon spectrum of QCD vacuum in magnetic-field-induced superconducting phase
• On the anomalous mass defect of strange stars in the Field Correlator Method
• Non-perturbative suppression of Chiral Effects in hot QGP for $\Lambda /\bar{\Lambda }$-hyperons spin polarization in heavy-ion collisions
• Deconfinement transition in two-flavour lattice QCD with dynamical overlap fermions
• Low mass strange stars and the compact star 1E1207.4-5209 in the Field Correlator Method