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Journal of High Energy Physics

, 2018:61 | Cite as

Two-current correlations in the pion on the lattice

  • Gunnar S. Bali
  • Peter C. Bruns
  • Luca Castagnini
  • Markus DiehlEmail author
  • Jonathan R. Gaunt
  • Benjamin Gläßle
  • Andreas Schäfer
  • André Sternbeck
  • Christian Zimmermann
Open Access
Regular Article - Theoretical Physics

Abstract

We perform a systematic study of the correlation functions of two quark currents in a pion using lattice QCD. We obtain good signals for all but one of the relevant Wick contractions of quark fields. We investigate the quark mass dependence of our results and test the importance of correlations between the quark and the antiquark in the pion. Our lattice data are compared with predictions from chiral perturbation theory.

Keywords

Lattice QCD Chiral Lagrangians 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2018

Authors and Affiliations

  • Gunnar S. Bali
    • 1
    • 2
  • Peter C. Bruns
    • 3
  • Luca Castagnini
    • 1
  • Markus Diehl
    • 4
    • 5
    Email author
  • Jonathan R. Gaunt
    • 6
  • Benjamin Gläßle
    • 7
  • Andreas Schäfer
    • 1
  • André Sternbeck
    • 8
  • Christian Zimmermann
    • 1
  1. 1.Institute for Theoretical PhysicsUniversity of RegensburgRegensburgGermany
  2. 2.Department of Theoretical PhysicsTata Institute of Fundamental ResearchMumbaiIndia
  3. 3.Nuclear Physics InstituteAcademy of Sciences of the Czech RepublicŘežCzech Republic
  4. 4.Fachbereich PhysikUniversity of HamburgHamburgGermany
  5. 5.Deutsches Elektronen-Synchroton DESYHamburgGermany
  6. 6.Theoretical Physics DepartmentCERNGeneva 23Switzerland
  7. 7.Zentrum für DatenverarbeitungUniversität TübingenTübingenGermany
  8. 8.Theoretisch-Physikalisches InstitutFriedrich-Schiller-Universität JenaJenaGermany

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