Composite Operators in QCD
High Energy Physics - Theory
2009-10-22 v1
Abstract
We give a formula for the derivatives of a correlation function of composite operators with respect to the parameters (i.e., the strong fine structure constant and the quark mass) of QCD in four-dimensional euclidean space. The formula is given as spatial integration of the operator conjugate to a parameter. The operator product of a composite operator and a conjugate operator has an unintegrable part, and the formula requires divergent subtractions. By imposing consistency conditions we derive a relation between the anomalous dimensions of the composite operators and the unintegrable part of the operator product coefficients.
Cite
@article{arxiv.hep-th/9205085,
title = {Composite Operators in QCD},
author = {Hidenori Sonoda},
journal= {arXiv preprint arXiv:hep-th/9205085},
year = {2009}
}
Comments
26 pages