A Caltech Library Service

Effective Field Theories from Soft Limits of Scattering Amplitudes

Cheung, Clifford and Kampf, Karol and Novotny, Jiri and Trnka, Jaroslav (2015) Effective Field Theories from Soft Limits of Scattering Amplitudes. Physical Review Letters, 114 (22). Art. No. 221602. ISSN 0031-9007. doi:10.1103/PhysRevLett.114.221602.

[img] PDF - Published Version
See Usage Policy.

PDF - Submitted Version
See Usage Policy.


Use this Persistent URL to link to this item:


We derive scalar effective field theories—Lagrangians, symmetries, and all—from on-shell scattering amplitudes constructed purely from Lorentz invariance, factorization, a fixed power counting order in derivatives, and a fixed order at which amplitudes vanish in the soft limit. These constraints leave free parameters in the amplitude which are the coupling constants of well-known theories: Nambu-Goldstone bosons, Dirac-Born-Infeld scalars, and Galilean internal shift symmetries. Moreover, soft limits imply conditions on the Noether current which can then be inverted to derive Lagrangians for each theory. We propose a natural classification of all scalar effective field theories according to two numbers which encode the derivative power counting and soft behavior of the corresponding amplitudes. In those cases where there is no consistent amplitude, the corresponding theory does not exist.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Kampf, Karol0000-0003-1096-667X
Alternate Title:Effective Field Theories from Soft Limits
Additional Information:© 2015 American Physical Society. Received 18 December 2014; published 5 June 2015. We thank Nima Arkani-Hamed for the useful discussions and comments. C. C. is supported by a Sloan Research Fellowship and a DOE Early Career Award under Grant No. DE-SC0010255. J. T. is supported in part by the David and Ellen Lee Postdoctoral Scholarship and by the Department of Energy under Grant No. DE-SC0011632. K. K. and J. N. are supported by Project No. PRVOUK P45 and Grants No. LG 13031, No. LH 14035, and No. GAČR 15-18080S.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Alfred P. Sloan FoundationUNSPECIFIED
Department of Energy (DOE)DE-SC0010255
David and Ellen Lee Postdoctoral ScholarshipUNSPECIFIED
Department of Energy (DOE)DE-SC0011632
Programy rozvoje vědních oblastí na Univerzitě Karlově (PRVOUK)PRVOUK P45
Czech RepublicLG 13031
Czech RepublicLH 14035
Czech Science FoundationGAČR 15-18080S
Other Numbering System:
Other Numbering System NameOther Numbering System ID
Issue or Number:22
Classification Code:PACS: 11.55.-m, 11.80.Cr, 11.90.+t
Record Number:CaltechAUTHORS:20141216-134735706
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:52886
Deposited By: Joy Painter
Deposited On:16 Dec 2014 22:25
Last Modified:10 Nov 2021 19:44

Repository Staff Only: item control page