期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 8, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP08(2016)010
关键词
Anomalies in Field and String Theories; Field Theories in Higher Dimensions; Renormalization Group
资金
- National Science Foundation [1350180]
- European Research Council under the European Union's Seventh Framework Programme (FP) ERC Grant [279972]
- Swiss National Science Foundation [200020-150060]
- Division Of Physics
- Direct For Mathematical & Physical Scien [1350180] Funding Source: National Science Foundation
When conformal field theories (CFTs) are perturbed by marginally relevant deformations, renormalization group (RG) flows ensue that can be studied with perturbative methods, at least as long as they remain close to the original CFT. In this work we study such RG flows in the vicinity of six-dimensional unitary CFTs. Neglecting effects of scalar operators of dimension two and four, we use Weyl consistency conditions to prove the alpha-theorem in perturbation theory, and establish that scale implies conformal invariance. We identify a quantity that monotonically decreases in the flow to the infrared due to unitarity, showing that it does not agree with the one studied recently in the literature on the six-dimensional O-3 theory.
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