Renormalization of scalar field theories in rational spacetime dimensions

J. A. Gracey

Renormalization of scalar field theories in rational spacetime dimensions

High Energy Physics - Theory 2022-05-17 v3

Authors: J. A. Gracey

Abstract

We renormalize various scalar field theories with a $\phi^n$ self interaction such as $n$ $=$ $5$ , $7$ and $9$ in their respective critical dimensions which are non-integer. The renormalization group functions for the $O(N)$ symmetric extensions are also computed.

Keywords

scalar field theory renormalization rational spacetime dimensions phi^n self interaction renormalization group functions O(N) symmetry

Cite

@article{arxiv.1703.09685,
  title  = {Renormalization of scalar field theories in rational spacetime dimensions},
  author = {J. A. Gracey},
  journal= {arXiv preprint arXiv:1703.09685},
  year   = {2022}
}

Comments

23 latex pages, 8 figures, 2 tables, txt file has been updated with the electronic version of the renormalization group functions for the O(N) symmetric theories given in the paper

Related papers

View all related →