Composite Operators in QCD

Details Composite Operators in QCD Composite Operators in QCD

1992-05-25

arxiv.org/abs/hep-th/9205085v1

Nucl.Phys. B383 (1992) 173-196

Physics

High Energy Physics

High Energy Physics - Theory

26 pages

Scientific paper

10.1016/0550-3213(92)90675-2

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.

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