The minimal conformalO(N) vector sigma model atd= 3

2003/08/18 by Thorsten Leonhardt, Werner Ruehl, W. Rühl · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.1088/0305-4470/37/4/023

published as J.Phys.A37:1403-1413,2004 · 15 pages

arxiv created 2003/08/18 · openalex publication_date 2004/01/09 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

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.

Citations

• The renormalization group and the ε expansion
• Multi-Trace Operators, Boundary Conditions, And AdS/CFT Correspondence

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