New representation of the Adler function for lattice QCD

Anthony Francis, Benjamin Jäger, Harvey B. Meyer, Hartmut Wittig

Type: Article

Publication Date: 2013-09-04

Citations: 83

DOI: https://doi.org/10.1103/physrevd.88.054502

Abstract

We address several aspects of lattice QCD calculations of the hadronic vacuum polarization and the associated Adler function. We implement a representation derived previously which allows one to access these phenomenologically important functions for a continuous set of virtualities, irrespective of the flavor structure of the current. Secondly, we present a theoretical analysis of the finite-size effects on our particular representation of the Adler function, based on the operator product expansion at large momenta and on the spectral representation of the Euclidean correlator at small momenta. Finally, an analysis of the flavor structure of the electromagnetic current correlator is performed, where a recent theoretical estimate of the Wick-disconnected diagram contributions is rederived independently and confirmed.

Locations

Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D, Particles, fields, gravitation, and cosmology - View
arXiv (Cornell University) - View - PDF
DataCite API - View

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