Journal
PHYSICAL REVIEW LETTERS
Volume 114, Issue 22, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.114.221602
Keywords
-
Categories
Funding
- Sloan Research Fellowship
- DOE [DE-SC0010255, DE-SC0011632]
- David and Ellen Lee Postdoctoral Scholarship
- [PRVOUK P45]
- [LG 13031]
- [LH 14035]
- [GACR 15-18080S]
Ask authors/readers for more resources
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.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available