Tensor representations of conformal algebra and conformally covariant operator product expansion
197328 pages
Published in:
- Annals Phys. 76 (1973) 161-188
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Abstract: (Elsevier)
A conformally covariant formulation of operator product expansion is discussed as an expansion of the product of two representations into a direct sum of irreducible representations. The basic irreducible representations are analyzed and classified. The isomorphism between the conformal algebra and the O (4, 2) algebra is used to obtain a manifestly covariant formalism. The implications of the isomorphism in the derivation of the representations is discussed. The covariant O (4, 2) formalism directly relates dominant terms to nondominant terms in the light-cone limit. The essential coincidence of the problem of a conformal covariant operator product expansion to the problem of determining the form of the three-point function is stressed, together with the relevance of a selection rule for two-point functions following from exact (not spontaneously broken) conformal covariance. The role of Ward identities in a conformal covariant scheme is pointed out, and the mathematical implications on the n -point functions from causality are described.- group theory: o(4,2)
- invariance: conformal
- symmetry: dilation
- light cone behavior
- field theory
- model: n-point function
- perturbation theory
- renormalization
- bibliography
References(62)
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