Thermodynamics of free Domain Wall fermions

Abstract

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 $N_T\ge 10$ 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 $N_T\le 8$. 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 N_T=6-8 lattices. Incorporating chemical potential, we show that μ^2 divergences are absent for a large class of such domain wall fermion actions although the chiral symmetry is broken for $\mu \ne 0$.

arXiv comment11 pages, 15 figures included

References in corpus (16)

• Exactly massless quarks on the lattice
• A Method for Simulating Chiral Fermions on the Lattice
• Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation
• Chiral Fermions from Lattice Boundaries
• Chiral Fermions on the Lattice
• Vector like gauge theories with almost massless fermions on the lattice
• Chiral Symmetry Restoration in the Schwinger Model with Domain Wall Fermions
• The Scaling of Exact and Approximate Ginsparg-Wilson Fermions
• Domain Wall Fermions with Exact Chiral Symmetry
• Domain-wall and overlap fermions at nonzero quark chemical potential
• Thermodynamics of the ideal overlap quarks on the lattice
• Lattice cut-off effects and their reduction in studies of QCD thermodynamics at non-zero temperature and chemical potential
• Thermodynamics of free domain wall and overlap fermions
• Improving the Quark Number Susceptibilities for Staggered Fermions
• Chiral violations in domain-wall QCD from one-loop perturbation theory at finite $N_s$
• Towards QCD thermodynamics using exact chiral symmetry on lattice

Cited by in corpus (4)

• The finite temperature QCD using 2+1 flavors of domain wall fermions at N_t = 8
• Lattice-fermionic Casimir effect and topological insulators
• Casimir effect for lattice fermions
• Spectroscopy in the 2+1$d$ Thirring Model with $N=1$ Domain Wall Fermions