Moebius Algorithm for Domain Wall and GapDW Fermions
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 a small ensemble 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 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 both formulations.
- Research Organization:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC)
- DOE Contract Number:
- AC05-06OR23177
- OSTI ID:
- 978466
- Report Number(s):
- JLAB-THY-08-942; DOE/OR/23177-0873; TRN: US1002982
- Journal Information:
- PoS LATTICE2008, Conference: Lattice 2008, 14-20 Jul 2008, Williamsburg, Virginia
- Country of Publication:
- United States
- Language:
- English
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