Conserved currents, consistency relations, and operator product expansions in the conformally invariant {ital O}({ital N}) vector model
- Department of Theoretical Physics, Aristotle University of Thessaloniki, Thessaloniki 54006 (Greece)
We discuss conserved currents and operator product expansions (OPE{close_quote}s) in the context of a {ital O}({ital N}) invariant conformal field theory. Using OPE{close_quote}s we find explicit expressions for the first few terms in suitable short-distance limits for various four-point functions involving the fundamental {ital N}-component scalar field {phi}{sup {alpha}}({ital N}), {alpha}=1,2,...,{ital N}. We propose an alternative evaluation of these four-point functions based on graphical expansions. Requiring consistency of the algebraic and graphical treatments of the four-point functions we obtain the values of the dynamical parameters in either a free theory of {ital N} massless fields or a non-trivial conformally invariant {ital O}({ital N}) vector model in 2{lt}{ital d}{lt}4, up to next-to-leading order in a 1/{ital N} expansion. Our approach suggests an interesting duality property of the critical {ital O}({ital N}) invariant theory. Also, solving our consistency relations we obtain the next-to-leading order in 1/{ital N} correction for {ital C}{sub {ital T}} which corresponds to the normalization of the energy momentum tensor two-point function. Copyright {copyright} 1996 Academic Press, Inc.
- OSTI ID:
- 383713
- Journal Information:
- Annals of Physics (New York), Vol. 249, Issue 1; Other Information: PBD: Jul 1996
- Country of Publication:
- United States
- Language:
- English
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