Computing the Adler function from the vacuum polarization function

Abstract

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.

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

References in corpus (2)

• The running fine structure constant alpha(E) via the Adler function
• The hadronic vacuum polarization with twisted boundary conditions

Cited by in corpus (7)

• The hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD
• Lattice QCD and the anomalous magnetic moment of the muon
• A New Strategy for the Lattice Evaluation of the Leading Order Hadronic Contribution to $(g-2{)}_{\mu }$
• Lattice QCD Studies of the Leading Order Hadronic Contribution to the Muon $g-2$
• Study of the anomalous magnetic moment of the muon computed from the Adler function
• Study of the Couplings of QED and QCD from the Adler Function
• Study of the hadronic contributions to the running of the QED coupling and the weak mixing angle