C_{T} and C_{J} up to next-to-leading order in 1/N in the Conformally Invariant O(N) Vector Model for 2<d<4

Abstract

Using Operator Product Expansions and a graphical ansatz for the four-point function of the fundamental field ϕ^α(x) in the conformally invariant O(N) vector model, we calculate the next-to-leading order in 1/N values of the quantities C_{T} and C_{J}. We check the results against what is expected from possible generalisations of the C- and k-theorems in higher dimensions and also against known three-loop calculations in a O(N) invariant ϕ^{4} theory for d=4-ε.

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