The <i>a</i>-function in six dimensions



Gracey, JA ORCID: 0000-0002-9101-2853, Jack, I and Poole, C
(2016) The <i>a</i>-function in six dimensions. JOURNAL OF HIGH ENERGY PHYSICS, 2016 (1). pp. 1-29.

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Abstract

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

Item Type: Article
Uncontrolled Keywords: Field Theories in Higher Dimensions, Renormalization Group
Depositing User: Symplectic Admin
Date Deposited: 11 Apr 2016 13:52
Last Modified: 11 Oct 2023 18:38
DOI: 10.1007/JHEP01(2016)174
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3000217