Chiral-symmetry restoration in large-Nquantum chromodynamics at finite temperature

It is shown that, at large $N$, $〈\overline{\psi }\psi 〉$ is independent of the temperature in the confining phase. This implies that the temperature at which chiral symmetry is restored is larger than or equal to the critical temperature for deconfinement. If $T_{\mathrm{chiral}}=T_{\mathrm{deconfining}}$, then the chiral transition must be first order.