Computing the Adler function from the vacuum polarization function

Hanno Horch*, Michele Della Morte, Gregorio Herdoíza, Benjamin Jäger, Andreas Jüttner, Hartmut Wittig

*Kontaktforfatter for dette arbejde

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Abstrakt

We use a lattice determination of the hadronic vacuum polarization tensor to study the associated Ward identities and compute the Adler function. The vacuum polarization tensor is computed from a combination of point-split and local vector currents, using two flavours of O($a$)-improved Wilson fermions. Partially twisted boundary conditions are employed to obtain a fine momentum resolution. The modifications of the Ward identities by lattice artifacts and by the use of twisted boundary conditions are monitored. We determine the Adler function from the derivative of the vacuum polarization function over a large region of momentum transfer $q^2$. As a first account of systematic effects, a continuum limit scaling analysis is performed in the large $q^2$ regime.
OriginalsprogEngelsk
TidsskriftP o S - Proceedings of Science
Antal sider7
ISSN1824-8039
StatusUdgivet - 27. nov. 2013
Begivenhed31st International Symposium on Lattice Field Theory LATTICE 2013: LATTICE 2013 - Mainz, Tyskland
Varighed: 29. jul. 20133. aug. 2013

Konference

Konference31st International Symposium on Lattice Field Theory LATTICE 2013
LandTyskland
ByMainz
Periode29/07/201303/08/2013

Bibliografisk note

7 pages, 4 figures, presented at the 31st International Symposium on Lattice Field Theory (Lattice 2013), 29 July - 3 August 2013, Mainz, Germany

Emneord

  • hep-lat
  • hep-ph

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