Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 1, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP01(2016)174
Keywords
Field Theories in Higher Dimensions; Renormalization Group
Categories
Funding
- STFC [ST/G00062X/1]
- Science and Technology Facilities Council [ST/I505805/1, 1371024, ST/G00062X/1, ST/L000431/1, ST/M503629/1, ST/I506896/1, ST/J50113X/1, ST/K502145/1] Funding Source: researchfish
- STFC [ST/K502145/1, ST/I505805/1, ST/L000431/1, ST/M503629/1, ST/G00062X/1, ST/J50113X/1, ST/I506896/1] Funding Source: UKRI
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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 (MS) over bar and MOM schemes (the latter presented here for the first time at three loops).
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