A Relation between the Anomalous Dimensions and OPE Coefficients in Asymptotic Free Field Theories
Hidenori Sonoda, Wang-Chang Su
TL;DR
This paper explores the connection between anomalous dimensions and OPE coefficients in asymptotic free field theories, demonstrating that certain OPE components are dictated by anomalous dimensions, with examples from the 2D O(N) sigma model.
Contribution
It establishes a relationship between anomalous dimensions and OPE coefficients in asymptotic free theories, supported by explicit examples from the 2D O(N) sigma model.
Findings
Part of the OPE is determined by the anomalous dimension.
The relationship is exemplified in the 2D O(N) sigma model.
Provides insight into the structure of operator product expansions.
Abstract
In asymptotic free field theories we show that part of the OPE of the trace of the stress-energy tensor and an arbitrary composite field is determined by the anomalous dimension of the composite field. We take examples from the two-dimensional O(N) non-linear sigma model.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.