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

Details 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 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

1995-06-19

arxiv.org/abs/hep-th/9506116v1

Phys.Lett. B359 (1995) 101-107

Physics

High Energy Physics

High Energy Physics - Theory

12 pages Latex + 1 uuencoded .ps file

Scientific paper

10.1016/0370-2693(95)00936-F

Using Operator Product Expansions and a graphical ansatz for the four-point function of the fundamental field \phi^{\alpha}(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 \phi^{4} theory for d=4-\epsilon.

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