Conformal operators in QCD

Journal Article · Sun Mar 01 00:00:00 EST 1981 · Sov. J. Nucl. Phys. (Engl. Transl.); (United States)

OSTI ID:5699921

Makeenko, Y M

Utilizing the properties of the representations of the conformal group, we obtain new expressions for the conformal operators composed of spinor or scalar fields of arbitrary dimension in terms of Jacobi polynomials. These expressions generalize the known formulas in terms of Gegenbauer polynomials. Using the conformal Ward identities, we prove the multiplicative renormalizability of conformal operators in the leading logarithmic approximation.

• Research Organization: Institute for Theoretical and Experimental Physics of the GKIAE
• OSTI ID: 5699921
• Journal Information: Sov. J. Nucl. Phys. (Engl. Transl.); (United States), Vol. 33:3
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM CHROMODYNAMICS
CONFORMAL GROUPS
QUANTUM OPERATORS
POLYNOMIALS
RENORMALIZATION
SCALAR FIELDS
SPINOR FIELDS
FIELD THEORIES
FUNCTIONS
LIE GROUPS
MATHEMATICAL OPERATORS
QUANTUM FIELD THEORY
SYMMETRY GROUPS
645400* - High Energy Physics- Field Theory