### Abstract

Original language | English |
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Journal | P o S - Proceedings of Science |

Number of pages | 7 |

ISSN | 1824-8039 |

Publication status | Published - 27. Nov 2013 |

Event | 31st International Symposium on Lattice Field Theory LATTICE 2013: LATTICE 2013 - Mainz, Germany Duration: 29. Jul 2013 → 3. Aug 2013 |

### Conference

Conference | 31st International Symposium on Lattice Field Theory LATTICE 2013 |
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Country | Germany |

City | Mainz |

Period | 29/07/2013 → 03/08/2013 |

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### Cite this

*P o S - Proceedings of Science*.

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*P o S - Proceedings of Science*.

**Computing the Adler function from the vacuum polarization function.** / Horch, Hanno; Morte, Michele Della; Herdoíza, Gregorio; Jäger, Benjamin; Jüttner, Andreas; Wittig, Hartmut.

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

TY - GEN

T1 - Computing the Adler function from the vacuum polarization function

AU - Horch, Hanno

AU - Morte, Michele Della

AU - Herdoíza, Gregorio

AU - Jäger, Benjamin

AU - Jüttner, Andreas

AU - Wittig, Hartmut

N1 - 7 pages, 4 figures, presented at the 31st International Symposium on Lattice Field Theory (Lattice 2013), 29 July - 3 August 2013, Mainz, Germany

PY - 2013/11/27

Y1 - 2013/11/27

N2 - 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.

AB - 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.

KW - hep-lat

KW - hep-ph

M3 - Conference article

JO - P o S - Proceedings of Science

JF - P o S - Proceedings of Science

SN - 1824-8039

ER -