\begin{document}$ eE\parallel eB $\end{document}) on the chiral symmetry breaking-restoration and confinement-deconfinement phase transition. We also sketch the phase diagram of quantum chromodynamics (QCD) at a finite temperature T and in the presence of background fields. The unified formalism for this study is based on the Schwinger-Dyson equations, symmetry preserving vector-vector contact interaction model of quarks, and an optimal time regularization scheme. At \begin{document}$ T = 0 $\end{document}, in the purely magnetic case (i.e., \begin{document}$ eE\rightarrow 0 $\end{document}), we observe the well-known magnetic catalysis effect. However, in a pure electric field background (\begin{document}$ eB\rightarrow 0 $\end{document}), the electric field tends to restore the chiral symmetry and deconfinement above the pseudo-critical electric field \begin{document}$ eE^{\chi, C}_c $\end{document}. In the presence of both \begin{document}$ eE $\end{document} and \begin{document}$ eB $\end{document}, we determine the magnetic catalysis effect in the particular region where \begin{document}$ eB $\end{document} dominates over \begin{document}$ eE $\end{document}, whereas we observe the chiral inhibition (or electric chiral rotation) effect when \begin{document}$ eE $\end{document} overshadows eB. At finite T, in the pure electric field case, the phenomenon of inverse electric catalysis appears to exist in the proposed model. Conversely, for a pure magnetic field background, we observe the magnetic catalysis effect in the mean-field approximation and inverse magnetic catalysis with \begin{document}$ eB $\end{document}-dependent coupling. The combined effects of \begin{document}$ eE $\end{document} and \begin{document}$ eB $\end{document} on the pseudo-critical \begin{document}$ T^{\chi, C}_c $\end{document} yields an inverse electromagnetic catalysis, with and without an \begin{document}$ eB $\end{document}-dependent effective coupling of the model. The findings of this study agree well with the already predicted results obtained via lattice simulations and other reliable effective models of QCD."> Chiral symmetry restoration and deconfinement in the contact interaction model of quarks with parallel electric and magnetic fields -
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