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arXiv · hep-th/0308111

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

Thorsten Leonhardt·Werner Ruehl
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Abstract

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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Thorsten Leonhardt, Werner Ruehl. 2003-08-18. The minimal conformal O(N) vector sigma model at d=3. https://doi.org/10.1088/0305-4470%2F37%2F4%2F023

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