arXiv 0906.28132009-06hep-lat

畴壁和GapDW费米子的Moebius算法

Moebius Algorithm for Domain Wall and GapDW Fermions

Ronald Babich, Richard Brower, Kostas Orginos, Claudio Rebbi, David Schaich, Pavlos Vranas

备注：: 7 pages, 3 figures, presented at the XXVI International Symposium on Lattice Field Theory (Lattice 2008), Williamsburg, Virginia, July 14-19, 2008; Small changes in v3 to conform with submission to PoS
发表信息：: PoS LATTICE2008:034,2008

摘要：

莫比乌斯畴壁作用量\cite{Brower:2004xi}是沙米尔作用量的推广，它给出了与畴壁之间的间隔（$L_s$）取为无穷大时完全相同的重叠费米子晶格作用量。该算法的性能优势，淬火，全QCD畴壁和间隙畴壁晶格\cite{Vranas:2006zk}的小合奏。特别是，它示出，在较大的晶格间距相关的当前动力学模拟莫比乌斯费米子一起工作，与Gaplitazone，减少$L_s$的两个以上的因素。注意到在有限夸克质量下，包括有限$L_s$手征破坏，畴壁和有效重叠作用之间存在精确的映射，使得轴流和矢量流的Ward-Takahashi恒等式在两个公式中完全等价.

英文摘要：

The Möbius 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 Möbius 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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英文摘要：

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