Diagram dependance of the $\mathbb{CP}(1)$ beta function
High Energy Physics - Theory
2024-08-26 v1
Abstract
We revisit the computation of the beta function in the two-dimensional sigma model. We show that in different schemes, different diagrams are responsible for the running, such as momentum-independent tadpoles or even UV-finite bubble diagrams. We also comment on the relation between the beta functions and the energy dependence of scattering amplitudes.
Cite
@article{arxiv.2408.13159,
title = {Diagram dependance of the $\mathbb{CP}(1)$ beta function},
author = {Kasra Kiaee and Alexander Monin},
journal= {arXiv preprint arXiv:2408.13159},
year = {2024}
}