Chiral Symmetry Restoration and Deconfinement in the Contact Interaction Model of Quarks with a Parallel Electric and Magnetic Fields

Abstract

We study the impact of steady, homogeneous, and external parallel electric and magnetic field strength ($eE\parallel eB$), on the chiral symmetry breaking-restoration and confinement-deconfinement phase transitions. We also sketch the phase diagram of quantum chromodynamics (QCD) at finite temperature $T$ and in the presence of background fields. Our unified formalism for this study is based on the Schwinger-Dyson equations, symmetry preserving vector-vector contact interaction model of quarks, and the proper time regularization scheme. At $T=0$, in the purely magnetic case ($eE\to 0$), we observe the well known magnetic catalysis effect. On the other hand, in the pure electric field background ($eB\to 0$), the electric field tends to restore the chiral symmetry and deconfinement above the pseudo-critical electric field $e{E}_c^{\chi ,C}$. In the presence of both $eE$ and $eB$: we find the magnetic catalysis effect in the particular region where $eB$ dominates over $eE$, whereas, we observe the chiral inhibition (or electric chiral rotation) effect, when $eE$ stand over $eB$. At finite $T$, in the pure electric field case, the phenomenon of inverse electric catalysis appears to exist in our model. On the other hand for pure magnetic field background, we notice the magnetic catalysis effect in the mean-field approximation and inverse magnetic catalysis with $eB$-dependent coupling. The combined effect of both $eE$ and $eB$ on the pseudo-critical $T_c^{\chi ,C}$ yields the inverse electromagnetic catalysis, with and without $eB-$dependent effective coupling of the model. Our findings are satisfactory in agreement with already predicted results by lattice simulations and other reliable effective models of QCD.

11 pages, 21 figures

References in corpus (12)

• The Chiral Magnetic Effect
• The Importance of Asymptotic Freedom for the Pseudocritical Temperature in Magnetized Quark Matter
• Abelian anomaly and neutral pion production
• pi- and rho-mesons, and their diquark partners, from a contact interaction
• Quark Antiscreening at Strong Magnetic Field and Inverse Magnetic Catalysis
• Pion form factor from a contact interaction
• Masses of ground and excited-state hadrons
• Chiral electric separation effect in the quark-gluon plasma
• Inverse magnetic catalysis and regularization in the quark-meson model
• Novel mechanism for electric quadrupole moment generation in relativistic heavy-ion collisions
• Deconfinement and chiral phase transitions in quark matter with a strong electric field
• Color, Flavor, Temperature and Magnetic Field Dependence of QCD Phase Diagram: Magnetic Catalysis and its Inverse