%0 Journal Article %1 Feng2013Computing %A Feng, Xu %A Hashimoto, Shoji %A Hotzel, Grit %A Jansen, Karl %A Petschlies, Marcus %A Renner, Dru B. %D 2013 %J Physical Review D %K g-2 %N 3 %R 10.1103/physrevd.88.034505 %T Computing the hadronic vacuum polarization function by analytic continuation %U http://dx.doi.org/10.1103/physrevd.88.034505 %V 88 %X We propose a method to compute the hadronic vacuum polarization function on the lattice at continuous values of photon momenta bridging between the spacelike and timelike regions. We provide two independent demonstrations to show that this method leads to the desired hadronic vacuum polarization function in Minkowski spacetime. We show with the example of the leading-order QCD correction to the muon anomalous magnetic moment that this approach can provide a valuable alternative method for calculations of physical quantities where the hadronic vacuum polarization function enters.

@article{Feng2013Computing, abstract = {{We propose a method to compute the hadronic vacuum polarization function on the lattice at continuous values of photon momenta bridging between the spacelike and timelike regions. We provide two independent demonstrations to show that this method leads to the desired hadronic vacuum polarization function in Minkowski spacetime. We show with the example of the leading-order QCD correction to the muon anomalous magnetic moment that this approach can provide a valuable alternative method for calculations of physical quantities where the hadronic vacuum polarization function enters.}}, added-at = {2019-02-23T22:09:48.000+0100}, archiveprefix = {arXiv}, author = {Feng, Xu and Hashimoto, Shoji and Hotzel, Grit and Jansen, Karl and Petschlies, Marcus and Renner, Dru B.}, biburl = {https://www.bibsonomy.org/bibtex/2b51b12cc58a564f4696fbe0a4d2b5c1a/cmcneile}, citeulike-article-id = {12373260}, citeulike-linkout-0 = {http://arxiv.org/abs/1305.5878}, citeulike-linkout-1 = {http://arxiv.org/pdf/1305.5878}, citeulike-linkout-2 = {http://dx.doi.org/10.1103/physrevd.88.034505}, day = 22, doi = {10.1103/physrevd.88.034505}, eprint = {1305.5878}, interhash = {92dc4dd77ecee1c0de1f147f09c12833}, intrahash = {b51b12cc58a564f4696fbe0a4d2b5c1a}, issn = {1550-7998}, journal = {Physical Review D}, keywords = {g-2}, month = aug, number = 3, posted-at = {2013-05-28 09:03:21}, priority = {2}, timestamp = {2019-02-23T22:15:27.000+0100}, title = {{Computing the hadronic vacuum polarization function by analytic continuation}}, url = {http://dx.doi.org/10.1103/physrevd.88.034505}, volume = 88, year = 2013 }