Abstract: 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.
|Journal||Journal of High Energy Physics|
|State||Published - Oct 1 2015|
Bibliographical notePublisher Copyright:
© 2015, The Author(s).
- Anomalies in Field and String Theories
- Effective field theories
- Renormalization Group
- Space-Time Symmetries
ASJC Scopus subject areas
- Nuclear and High Energy Physics