The a-function in six dimensions

Gracey, JA ORCID: 0000-0002-9101-2853, Jack, I and Poole, C (2016) The a-function in six dimensions Journal of High Energy Physics, 2016 (1). pp. 1-29. ISSN 1126-6708, 1029-8479

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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:	24 Jan 2026 00:16
DOI:	10.1007/JHEP01(2016)174
Related Websites:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3000217
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