Thermodynamics of free Domain Wall fermions

Details Thermodynamics of free Domain Wall fermions Thermodynamics of free Domain Wall fermions

2008-11-19

arxiv.org/abs/0811.3026v1

Phys.Rev.D79:074502,2009

Physics

High Energy Physics

High Energy Physics - Lattice

11 pages, 15 figures included

Scientific paper

10.1103/PhysRevD.79.074502

Studying various thermodynamic quantities for the free domain wall fermions for both finite and infinite fifth dimensional extent N_5, we find that the lattice corrections are minimum for $N_T\geq10$ 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 $N_T\leq8$. 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 N_T=6-8 lattices. Incorporating chemical potential, we show that \mu^2 divergences are absent for a large class of such domain wall fermion actions although the chiral symmetry is broken for $\mu\neq0$.

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