Chiral symmetry restoration and deconfinement in the contact interaction model of quarks with parallel electric and magnetic fields

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