Quenched QCD at finite temperature with chiral fermions

We study physics at temperatures above the QCD phase transition $(T>~{1.25T}_c)$ using chiral (overlap) fermions in the quenched approximation of lattice QCD. We find that both the pseudoscalar and vector screening masses are close to ideal gas values, after subtracting the effects of exact zero modes of the overlap Dirac operator. These zero modes are localized and their frequency of occurrence drops with temperature. This is closely related to axial $U\left(1\right)\mathrm{}$ symmetry, which remains broken up to ${2T}_c.$