The a-function in six dimensions
arXiv:1507.02174 · doi:10.1007/JHEP01(2016)174
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).
27 pages, seven figures, uses axodraw. Minor improvements in wording