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arxiv: hep-th/0308111 · v1 · submitted 2003-08-18 · ✦ hep-th

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

classification ✦ hep-th
keywords auxiliaryorderconformalfieldfieldsfunctionsminimalmodel
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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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