Abstract
We compute the spectrum of anomalous dimensions of nonderivative composite operators with an arbitrary number of fields in the vector model with cubic anisotropy at the one-loop order in the expansion. The complete closed-form expression for the anomalous dimensions of the operators which do not undergo mixing effects is derived, and the structure of the general solution to the mixing problem is outlined. As examples, the full explicit solution for operators with up to fields is presented and a sample of the operator product expansion coefficients is calculated. The main features of the spectrum are described, including an interesting pattern pointing to the deeper structure.
- Received 26 March 2019
DOI:https://doi.org/10.1103/PhysRevD.100.065008
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Published by the American Physical Society