English

The a-function in six dimensions

High Energy Physics - Theory 2016-03-23 v4

Abstract

The a-function is a proposed quantity defined in even dimensions which has a monotonic behaviour along RG flows, related to the beta-functions via a gradient flow equation. We study the a-function for a general scalar theory in six dimensions, using the beta-functions up to three-loop order for both the MSbar and MOM schemes (the latter presented here for the first time at three loops).

Cite

@article{arxiv.1507.02174,
  title  = {The a-function in six dimensions},
  author = {J. A. Gracey and I. Jack and C. Poole},
  journal= {arXiv preprint arXiv:1507.02174},
  year   = {2016}
}

Comments

27 pages, seven figures, uses axodraw. Minor improvements in wording

R2 v1 2026-06-22T10:08:04.034Z