Inversion algorithm for fermion matrix with multi-different mass terms

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  • Department of Physics,Jiangsu University,Zhenjiang,Jiangsu 212013,China

Received date: 2018-03-26

  Revised date: 2018-09-14

  Online published: 2019-03-01

Abstract

In the simulation of lattice gauge theory,RHMC algorithm is an accurate algorithm which can be

used to any number of fermions. Its central idea is to expand the fermion determinant into rational functions,the implementation

of this algorithm results in a lot of matrix inversion of fermion matrix,and brings about numerous time

and resources consumption. Therefore,its use is limited. This paper uses the shifted polynomial to obtain an approach

  to solve this problem for the conjugate gradient method. This approach can be applied into RHMC algorithm.

Cite this article

WU Liang-kai, GU Xin, LIU Kun, FENG Long-hai . Inversion algorithm for fermion matrix with multi-different mass terms[J]. College Physics, 2019 , 38(1) : 29 . DOI: 10.16854 /j.cnki.1000-0712.180181

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