Thermodynamics of free Domain Wall fermions

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Studying various thermodynamic quantities for the free domain wall fermions for both finite and infinite fifth dimensional extent N₅, we find that the lattice corrections are minimum for Nₜ≥10 for both energy density and susceptibility, for its irrelevant parameter M in the range 1.45-1.50. The correction terms are, however, quite large for small lattice sizes of Nₜ≤8. We propose modifications of the domain wall operator, as well as the overlap operator, to reduce the finite cut-off effects to within 10% of the continuum results of the thermodynamic quantities for the currently used Nₜ=6-8 lattices. Incorporating chemical potential, we show that μ² divergences are absent for a large class of such domain wall fermion actions although the chiral symmetry is broken for μ≠0.