The a-function in six dimensions

被引：15
作者：
Gracey, J. A. [1 ]
Jack, I. [1 ]
Poole, C. [1 ]
机构：
[1] Univ Liverpool, Dept Math Sci, Liverpool L69 3BX, Merseyside, England
来源：
JOURNAL OF HIGH ENERGY PHYSICS | 2016年 / 01期
关键词：
Field Theories in Higher Dimensions; Renormalization Group; LOCAL RENORMALIZATION-GROUP; FIELD-THEORY; C-THEOREM; FEYNMAN-INTEGRALS; CONSISTENCY;
D O I：
10.1007/JHEP01(2016)174
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
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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页码：1 / 29
页数：29
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