The minimal conformal O(N) vector sigma model at d=3

Details The minimal conformal O(N) vector sigma model at d=3 The minimal conformal O(N) vector sigma model at d=3

2003-08-18

arxiv.org/abs/hep-th/0308111v1

J.Phys.A37:1403-1413,2004

Physics

High Energy Physics

High Energy Physics - Theory

15 pages

Scientific paper

10.1088/0305-4470/37/4/023

For the minimal O(N) sigma model, which is defined to be generated by the O(N) scalar auxiliary field alone, all n-point functions, till order 1/N included, can be expressed by elementary functions without logarithms. Consequently, the conformal composite fields of m auxiliary fields possess at the same order such dimensions, which are m times the dimension of the auxiliary field plus the order of differentiation.

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