Ward identities and some clues to the renormalization of gauge-invariant operators
The problem of the renormalization of gauge-invariant operators in the non-Abelian Yang-Mills theory is tackled through the study of a specific example, F/sub mu//sub nu/$sup 2$, for which the explicit solution can be derived from renormalization-group considerations. It is shown that the operator F/sub mu// sub nu/$sup 2$ mixes with non-gauge-invariant operators and that this mixing must be taken into account for the computation of the anolmalous dimension of the renormalized gauge-invariant operator. The explicit solution is examined with the help of Ward identities derived from a new type of gauge transformations which appear very convenient from a technical point of view. The multiplicatively renormalizable gauge-invariant operator is shown to satisfy Ward identities and to possess an $alpha$-independent anomalous dimension. As a by- product, we analyze the gauge dependence of the Callan-Symanzik function $beta$.
- Research Organization:
- Service de Physique Theorique, Centre d'Etudes Nucleaires de Saclay, BP No. 2-91190 Gif-sur-Yvette, France
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-33-004588
- OSTI ID:
- 4143622
- Journal Information:
- Phys. Rev., D, v. 12, no. 2, pp. 467-481, Other Information: Orig. Receipt Date: 30-JUN-76
- Country of Publication:
- United States
- Language:
- English
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