中文

Accelerated Overlap Fermions

高能物理 - 格点 2016-09-01 v3

摘要

Numerical evaluation of the overlap Dirac operator is difficult since it contains the sign function ϵ(Hw)\epsilon(H_w) of the Hermitian Wilson-Dirac operator HwH_w with a negative mass term. The problems are due to HwH_w having very small eigenvalues on the equilibrium background configurations generated in current day Monte Carlo simulations. Since these are a consequence of the lattice discretisation and do not occur in the continuum version of the operator, we investigate in this paper to what extent the numerical evaluation of the overlap can be accelerated by making the Wilson-Dirac operator more continuum-like. Specifically, we study the effect of including the clover term in the Wilson-Dirac operator and smearing the link variables in the irrelevant terms. In doing so, we have obtained a factor of two speedup by moving from the Wilson action to a FLIC (Fat Link Irrelevant Clover) action as the overlap kernel.

引用

@article{arxiv.hep-lat/0112041,
  title  = {Accelerated Overlap Fermions},
  author = {W. Kamleh and D. Adams and D. B. Leinweber and A. G. Williams},
  journal= {arXiv preprint arXiv:hep-lat/0112041},
  year   = {2016}
}

备注

15 pages, 6 figures; V2 contains major revision of the introduction and motivation sections. Conclusion and results unchanged v2.1: formatting change