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
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موضوعات مرتبط
مهندسی و علوم پایه
شیمی
شیمی تئوریک و عملی
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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 Lsââ. 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(1âLsγ) for γ<1 will eventually fall asymptotically as mres=O(1âLs1+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
Journal: Computer Physics Communications - Volume 220, November 2017, Pages 1-19
نویسندگان
Richard C. Brower, Harmut Neff, Kostas Orginos,