2016/01/27 by Simone Giombi, Vladimir Kirilin · 1 voice
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1007/jhep11(2016)068
39 pages, 1 figure. v2: minor corrections
arxiv created 2016/01/27 · arxiv updated 2016/12/21
In a conformal field theory with weakly broken higher spin symmetry, the leading order anomalous dimensions of the broken currents can be efficiently determined from the structure of the classical non-conservation equations. We apply this method to the explicit example of O(N) invariant scalar field theories in various dimensions, including the large N critical O(N) model in general d, the Wilson-Fisher fixed point in d=4-ε, cubic scalar models in d=6-ε and the nonlinear sigma model in d=2+ε. Using information from the d=4-ε and d=2+ε expansions, we obtain some estimates for the dimensions of the higher spin operators in the critical 3d O(N) models for a few low values of N and spin.