Acceleration of the Arnoldi method and real eigenvalues of the non-Hermitian Wilson-Dirac operator

Details Acceleration of the Arnoldi method and real eigenvalues of the non-Hermitian Wilson-Dirac operator Acceleration of the Arnoldi method and real eigenvalues of the non-Hermitian Wilson-Dirac operator

2011-04-07

arxiv.org/abs/1104.1363v1

Physics

High Energy Physics

High Energy Physics - Lattice

11 pages, 6 figures

Scientific paper

In this paper, we present a method for the computation of the low-lying real eigenvalues of the Wilson-Dirac operator based on the Arnoldi algorithm. These eigenvalues contain information about several observables. We used them to calculate the sign of the fermion determinant in one-flavor QCD and the sign of the Pfaffian in N=1 super Yang-Mills theory. The method is based on polynomial transformations of the Wilson-Dirac operator, leading to considerable improvements of the computation of eigenvalues. We introduce an iterative procedure for the construction of the polynomials and demonstrate the improvement in the efficiency of the computation. In general, the method can be applied to operators with a symmetric and bounded eigenspectrum.

Affiliated with

Also associated with

No associations

Rating

Acceleration of the Arnoldi method and real eigenvalues of the non-Hermitian Wilson-Dirac operator does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Acceleration of the Arnoldi method and real eigenvalues of the non-Hermitian Wilson-Dirac operator, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Acceleration of the Arnoldi method and real eigenvalues of the non-Hermitian Wilson-Dirac operator will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-718065