CT and CJ up to next-to-leading order in in the conformally invariant O(N) vector model for 2 < d < 4

1995/06/19 by Anastasios C. Petkou, A. C. Petkou · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1016/0370-2693(95)00936-f

published as Phys.Lett. B359 (1995) 101-107 · 12 pages Latex + 1 uuencoded .ps file

arxiv created 1995/06/19 · openalex publication_date 1995/10/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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 ϕ⁴ theory for d=4-ε.

Citations

• Is there a c-theorem in four dimensions?
• Quantum Fields in Curved Space

Cited by

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