کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4964277 1447803 2017 48 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The Möbius domain wall fermion algorithm
موضوعات مرتبط
مهندسی و علوم پایه شیمی شیمی تئوریک و عملی
پیش نمایش صفحه اول مقاله
The Möbius domain wall fermion algorithm
چکیده انگلیسی
We present a review of the properties of generalized domain wall Fermions, based on a (real) Möbius transformation on the Wilson overlap kernel, discussing their algorithmic efficiency, the degree of explicit chiral violations measured by the residual mass (mres) and the Ward-Takahashi identities. The Möbius class interpolates between Shamir's domain wall operator and Boriçi's domain wall implementation of Neuberger's overlap operator without increasing the number of Dirac applications per conjugate gradient iteration. A new scaling parameter (α) reduces chiral violations at finite fifth dimension (Ls) but yields exactly the same overlap action in the limit Ls→∞. Through the use of 4d Red/Black preconditioning and optimal tuning for the scaling α(Ls), we show that chiral symmetry violations are typically reduced by an order of magnitude at fixed Ls. We argue that the residual mass for a tuned Möbius algorithm with α=O(1∕Lsγ) for γ<1 will eventually fall asymptotically as mres=O(1∕Ls1+γ) in the case of a 5D Hamiltonian with out a spectral gap.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Physics Communications - Volume 220, November 2017, Pages 1-19
نویسندگان
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