Renormalization of non-Abelian gauge theories in a background-field gauge. II. Gauge-invariant operators
Journal Article
·
· Physical Review. D, Particles Fields
The Ward--Slavnov identities satisfied by the Green's functions with one insertion of a gauge-invariant operator are studied in the background-field gauge. As a consequence, the counterterms for a given gauge-invariant operator must satisfy a system of equations, whose general solution is found in the simplest cases of operators of low dimension (d < or = 6) or low twist (tau < or = 3) and conjectured in the general case. It then follows that the renormalized Green's functions satisfy the same Ward identities as the bare, regularized ones. We deduce a definite prescription for the practical calculation of the anomalous dimensions of gauge-invariant operators which do not vanish in the classical limit: this prescription is formulated in the background gauge or in the usual Fermi-type gauge.
- 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-33-021904
- OSTI ID:
- 4079664
- Journal Information:
- Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 10 Vol. 12; ISSN PRVDAQ; ISSN 0556-2821
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
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