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.
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Dymarsky, A., Komargodski, Z., Schwimmer, A. et al. On scale and conformal invariance in four dimensions. J. High Energ. Phys. 2015, 171 (2015). https://doi.org/10.1007/JHEP10(2015)171
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DOI: https://doi.org/10.1007/JHEP10(2015)171