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Composite Operators in QCD

Hidenori Sonoda
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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.

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Hidenori Sonoda. 1992-05-25. Composite Operators in QCD. https://doi.org/10.1016/0550-3213(92)90675-2

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