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.
|Journal||P o S - Proceedings of Science|
|Number of pages||7|
|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||31st International Symposium on Lattice Field Theory LATTICE 2013|
|Period||29/07/2013 → 03/08/2013|