The Möbius domain wall fermion algorithm
Jun, 2012
19 pages
Published in:
- Comput.Phys.Commun. 220 (2017) 1-19
- Published: Nov, 2017
e-Print:
- 1206.5214 [hep-lat]
Report number:
- JLAB-THY-12-1583
View in:
Citations per year
Abstract: (Elsevier)
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.Note:
- 59 pages, 11 figures
- Lattice field theory
- fermion: domain wall
- symmetry: violation
- operator: overlap
- symmetry: chiral
- operator: dimension: 5
- dimension: 5
- scaling
- Ward-Takahashi identity
- efficiency
References(51)
Figures(7)
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