Projection of the low-lying eigenmodes of the overlap Dirac operator in lattice QCD

Ting-Wai Chiu; Tung-Han Hsieh (TWQCD Collaboration)

Projection of the low-lying eigenmodes of the overlap Dirac operator in lattice QCD

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arxiv 1412.2505 v1 pith:XZANZ2NL submitted 2014-12-08 hep-lat

Ting-Wai Chiu , Tung-Han Hsieh (TWQCD Collaboration) This is my paper · ORCID

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keywords diraceigenmodeslatticelow-lyingoperatoroverlapprojectionadaptive

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abstract

We outline our implementation of the adaptive thick-restart Lanczos algorithm ($a$-TRLan) for the projection of the low-lying eigenmodes of the overlap Dirac operator in lattice QCD, and compare the performances of our code and the widely used package ARPACK.

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Topological susceptibilty in lattice QCD with exact chiral symmetry -- the index of overlap-Dirac operator versus the clover topological charge in Wilson flow
hep-lat 2019-08 conditional novelty 6.0 of 10

The rounded clover topological charge at large Wilson flow time gives the same topological susceptibility as the overlap-Dirac index, despite per-configuration differences on 31.2% of configurations.

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