Algorithms for disconnected diagrams in lattice QCD

Arjun Singh Gambhir; Andreas Stathopoulos; Kostas Orginos; Boram Yoon; Rajan Gupta; Sergey Syritsyn

doi:10.22323/1.256.0265

Algorithms for disconnected diagrams in lattice QCD

Arjun Singh Gambhir
, Andreas Stathopoulos
, Kostas Orginos
, Boram Yoon
, Rajan Gupta
, Sergey Syritsyn

Physics and Astronomy

College of William and Mary
Thomas Jefferson National Accelerator Facility
Los Alamos National Laboratory

Research output: Contribution to journal › Conference article › peer-review

6 Scopus citations

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.

Original language	English
Journal	Proceedings of Science
Volume	Part F128557
DOIs	https://doi.org/10.22323/1.256.0265
State	Published - 2016
Event	34th Annual International Symposium on Lattice Field Theory, LATTICE 2016 - Southampton, United Kingdom Duration: Jul 24 2016 → Jul 30 2016

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title = "Algorithms for disconnected diagrams in lattice QCD",

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.",

author = "Gambhir, \{Arjun Singh\} and Andreas Stathopoulos and Kostas Orginos and Boram Yoon and Rajan Gupta and Sergey Syritsyn",

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T1 - Algorithms for disconnected diagrams in lattice QCD

AU - Gambhir, Arjun Singh

AU - Stathopoulos, Andreas

AU - Orginos, Kostas

AU - Yoon, Boram

AU - Gupta, Rajan

AU - Syritsyn, Sergey

PY - 2016

Y1 - 2016

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/85025839990

U2 - 10.22323/1.256.0265

DO - 10.22323/1.256.0265

M3 - Conference article

AN - SCOPUS:85025839990

SN - 1824-8039

VL - Part F128557

JO - Proceedings of Science

JF - Proceedings of Science

T2 - 34th Annual International Symposium on Lattice Field Theory, LATTICE 2016

Y2 - 24 July 2016 through 30 July 2016

ER -

Algorithms for disconnected diagrams in lattice QCD

Abstract

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