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2020

Hidden Conformal Invariance of Scalar Effective Field Theories

Cheung, Clifford, Mangan, James, Shen, Chia-Hsien

Understand

We argue that conformal invariance is a common thread linking several scalar effective field theories that appear in the double copy and scattering equations.

For a derivatively coupled scalar with a quartic ${\cal O}(p^4)$ vertex, classical conformal invariance dictates an infinite tower of additional interactions that coincide exactly with Dirac-Born-Infeld theory analytically continued to spacetime dimension $D=0$.
For the case of a quartic ${\cal O}(p^6)$ vertex, classical conformal invariance constrains the theory to be the special Galileon in $D=-2$ dimensions.
We also verify the conformal invariance of these theories by showing that their amplitudes are uniquely fixed by the conformal Ward identities.