I will discuss the new demands on lattice gauge theory to produce
physically relevant values for the thermal phase transition of QCD. In this context I will present a new method that substantially improves the five-dimensional domain wall fermion formulation of lattice QCD by opening the eigenvalue gap of the Hamiltonian that controls propagation along the fifth dimension. I will also briefly discuss the lattice N=1 SYM theory using domain wall fermions.
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