Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 10, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP10(2015)171
Keywords
Space-Time Symmetries; Effective field theories; Anomalies in Field and String Theories; Renormalization Group
Categories
Funding
- European Research Council (ERC STG) [279617]
- NSF [PHY-0969448]
- Peter and Patricia Gruber Awards
- Rosa and Emilio Segre research award
- Robert Rees Fund for Applied Research
- Israel Science Foundation [884/11, 1937/12]
- United States-Israel Binational Science Foundation (BSF) [2010/629]
- I-CORE Program of Planning and Budgeting Committee
- Humboldt Foundation
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We study the implications of scale invariance in four-dimensional quantum field theories. Imposing unitarity, we find that infinitely many matrix elements vanish in a suitable kinematical configuration. This vanishing is a nontrivial necessary condition for conformality. We provide an argument why this is expected to be a sufficient condition as well, thereby linking scale and conformal invariance in unitary theories. We also discuss possible exceptions to our argument.
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