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Published December 15, 2020 | Published
Journal Article Open

Hidden conformal invariance of scalar effective field theories


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 O(p⁴) 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 O(p⁶) 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. In these theories, conformal invariance is a much more stringent constraint than scale invariance.

Additional Information

© 2020 Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3. Received 14 June 2020; Accepted 12 November 2020. We employ the symbolic manipulation package xact [66] for numerous computations in this work. The work of C. C. and J. M. was supported by the DOE under Grant No. DE-SC0011632 and by the Walter Burke Institute for Theoretical Physics. The work of C.-H. S. was supported by the Mani L. Bhaumik Institute for Theoretical Physics.

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Published - PhysRevD.102.125009.pdf


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