3.8 Article

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

Journal

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
Volume 37, Issue 4, Pages 1403-1413

Publisher

IOP PUBLISHING LTD
DOI: 10.1088/0305-4470/37/4/023

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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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