Calculation and Interpretation of Hadron Correlation Functions in Lattice QCD

Details Calculation and Interpretation of Hadron Correlation Functions in Lattice QCD Calculation and Interpretation of Hadron Correlation Functions in Lattice QCD

1994-06-15

arxiv.org/abs/hep-lat/9406009v1

Ann.Phys.238:441-472,1995

Physics

High Energy Physics

High Energy Physics - Lattice

39 pages with 9 figures, TeX, MIT-CTP-2109

Scientific paper

10.1006/aphy.1995.1026

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.

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