English

Algorithms for Disconnected Diagrams in Lattice QCD

High Energy Physics - Lattice 2016-11-09 v1

Abstract

Computing disconnected diagrams in Lattice QCD (operator insertion in a quark loop) entails the computationally demanding problem of taking the trace of the all to all quark propagator. We first outline the basic algorithm used to compute a quark loop as well as improvements to this method. Then, we motivate and introduce an algorithm based on the synergy between hierarchical probing and singular value deflation. We present results for the chiral condensate using a 2+1-flavor clover ensemble and compare estimates of the nucleon charges with the basic algorithm.

Keywords

Cite

@article{arxiv.1611.01193,
  title  = {Algorithms for Disconnected Diagrams in Lattice QCD},
  author = {Arjun Singh Gambhir and Andreas Stathopoulos and Kostas Orginos and Boram Yoon and Rajan Gupta and Sergey Syritsyn},
  journal= {arXiv preprint arXiv:1611.01193},
  year   = {2016}
}

Comments

7 pages, 7 figures, Proceedings for The 34th International Symposium on Lattice Field Theory

R2 v1 2026-06-22T16:41:36.834Z