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 intera...
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| Veröffentlicht in: | Physical review. D 2020-12, Vol.102 (12), p.125009-1, Article 125009 |
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| creator | Cheung, Clifford Mangan, James Shen, Chia-Hsien |
| description | 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. |
| doi_str_mv | 10.1103/PhysRevD.102.125009 |
| format | Article |
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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. 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| language | eng |
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| source | American Physical Society Journals |
| subjects | astronomy & astrophysics ASTRONOMY AND ASTROPHYSICS Born-Infeld theory conformal field theory effective field theory Invariance physics quantum field theory Scale invariance scattering amplitudes |
| title | Hidden conformal invariance of scalar effective field theories |
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