Moebius Algorithm for Domain Wall and GapDW Fermions

Details Moebius Algorithm for Domain Wall and GapDW Fermions Moebius Algorithm for Domain Wall and GapDW Fermions

2009-06-15

arxiv.org/abs/0906.2813v3

PoS LATTICE2008:034,2008

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, 3 figures, presented at the XXVI International Symposium on Lattice Field Theory (Lattice 2008), Williamsburg, Virgin

Scientific paper

The M\"obius domain wall action \cite{Brower:2004xi} is a generalization of Shamir's action, which gives exactly the same overlap fermion lattice action as the separation ($L_s$) between the domain walls is taken to infinity. The performance advantages of the algorithm are presented for small ensembles of quenched, full QCD domain wall and Gap domain wall lattices \cite{Vranas:2006zk}. In particular, it is shown that at the larger lattice spacings relevant to current dynamical simulations M\"obius fermions work well together with GapDWF, reducing $L_s$ by more than a factor of two. It is noted that there is a precise map between the domain wall and effective overlap action at finite quark mass including finite $L_s$ chiral violations so that the Ward-Takahashi identities for the axial and vector currents are exactly equivalent in the two formulations.

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