Inverse magnetic catalysis and confinement within a contact interaction model for quarks

Abstract

We evaluate the impact of an external magnetic field on the chiral symmetry and confinement-deconfinement transition temperatures by using a vector-vector contact interaction model for quarks regularized so as to include an explicit confining scale in the corresponding gap equation. Exploring the evolution of the chiral condensate and the confining scale with temperature $T$ and magnetic field strength $eB$ ($e$ represents the fundamental electric charge), we determine the pseudo-critical temperatures for the chiral ($T_c^{\chi }$) and deconfinement ($T_c^c$) transitions from their inflection points, respectively. By construction, $T_c^{\chi }=T_c^c$ in the chiral limit. Within a mean field approximation, we observe the magnetic catalysis phenomenon, characterized by a rising behavior of $T_c^{\chi }$ and $T_c^c$ with growing $eB$. Considering a lattice inspired running coupling which monotonically decreases with $eB$, inverse magnetic catalysis takes place in our model. We explore the role of the magnetic field in the traits of the confinement-deconfinement transition described by the model. Our findings are also in agreement with predictions derived from effective models of strong interactions.

14 pages,10 Figures

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• Thermo-magnetic effects in quark matter: Nambu--Jona-Lasinio model constrained by lattice QCD
• Inverse Magnetic Catalysis in Bottom-Up Holographic QCD
• Thermo-magnetic properties of the strong coupling in the local Nambu--Jona-Lasinio model
• Recent progresses on QCD phases in a strong magnetic field -- views from Nambu--Jona-Lasinio model
• Inverse magnetic catalysis -- how much do we know about?
• QCD phase diagram in a magnetized medium from the chiral symmetry perspective: The linear sigma model with quarks and the Nambu--Jona-Lasinio model effective descriptions
• Effects of quark anomalous magnetic moment on the thermodynamical properties and mesonic excitations of magnetized hot and dense matter in PNJL model
• Effect of temperature and magnetic field on two-flavor superconducting quark matter
• Critical chiral hypersurface of the magnetized NJL model
• Color, Flavor, Temperature and Magnetic Field Dependence of QCD Phase Diagram: Magnetic Catalysis and its Inverse
• Catalysis and inverse electric catalysis in a scalar theory
• Super-Strong Coupling NJL model in arbitrary space-time dimensions
• Color-flavor dependence of the Nambu-Jona-Lasinio model and QCD phase diagram
• Inverse magnetic catalysis and size-dependent effects on the chiral symmetry restoration
• Strongly interacting matter in extreme magnetic fields
• Boundary conditions and electromagnetic effects on the phase transition of a zero spin bosonic system
• Solving the Gap Equation of the NJL Model through Iteration: Unexpected Chaos
• Chiral Symmetry Restoration and Deconfinement in the Contact Interaction Model of Quarks with a Parallel Electric and Magnetic Fields