Calculation and Interpretation of Hadron Correlation Functions in Lattice QCD
Abstract
Several new developments in the calculation and interpretation of hadron density-density correlation functions are presented. The asymptotic behavior of correlation functions is determined from a tree diagram path integral. A method is developed to use this behavior to correct for leading image contributions on a finite periodic spatial lattice and to correct for the finite temporal extent of the lattice. Equal time correlation functions are shown to determine a sum of the ground state rms radius plus a polarization correction, and it is shown how to extract the hadron polarizability from unequal time correlation functions. Image-corrected correlation functions calculated in quenched lattice QCD are presented and used to determine the size of the pion and nucleon.
Keywords
Cite
@article{arxiv.hep-lat/9406009,
title = {Calculation and Interpretation of Hadron Correlation Functions in Lattice QCD},
author = {J. W. Negele and M. Burkardt and J. M. Grandy},
journal= {arXiv preprint arXiv:hep-lat/9406009},
year = {2009}
}
Comments
39 pages with 9 figures, TeX, MIT-CTP-2109