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QCD Thermodynamics with Domain Wall Fermions

We present our recent studies of the pseudo-critical temperature, $T_c$, of QCD using domain wall fermions. Domain wall fermions have the advantage that they preserve exact SU(2) chiral symmetry at finite lattice spacing in the limit that $L_s \to \infty$. The RBC Collaboration has performed a set of dynamical calculations at $L_s = 32$ and $N_t = 8$ using the Iwasaki gauge action with two light quarks ($m_l a = 0.003$) and one strange quark ($m_s a = 0.037$). A clear signal for the crossover transition can be seen in the light chiral susceptibility, as well as in the Wilson line. However, at $L_s = 32$, the residual chiral symmetry breaking is not yet fully under control. We also present preliminary results from the HotQCD Collaboration with $N_t = 8$ and $L_s = 96$, where the effects of the residual chiral symmetry breaking are reduced compared to $L_s = 32$.