Extensions of theories from soft limits
By F. Cachazo, Peter Cha, Sebastian Mizera. 2016
137 citations recorded by the source corpus.
A bstractWe study a variety of field theories with vanishing single soft limits. In all cases, the structure of the soft limit is controlled by a larger theory, which provides an extension of the original one by adding more fields and interactions. Our main example is the U(N ) non-linear sigma model in its CHY representation. Its extension is a theory in which the NLSM Goldstone bosons interact with a cubic biadjoint scalar. Other theories we study and extend are the special Galileon and Born-Infeld theory, including its maximally supersymmetric version in four dimensions, the DBI-Volkov-Akulov theory. In all the cases, we propose the CHY representation of the complete tree-level S-matrix of the extended theories. In fact, CHY formulas are the key technique for studying the single soft limit behavior of the original theories. As a byproduct, we show that the tree-level S-matrix of the extended NLSM theory can be constructed using a very compact BCFW-like recursion relation, where physical poles are at most linear in the deformation parameter.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/a7cf87165ec49967381c0fd34947398cbe857ffd
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In Astronomy and Astrophysics
- C. Cheung
- Congkao Wen
- Chia-Hsien Shen
- J. Trnka
- T. Damour
- Andrew Strominger
- Sabrina Pasterski
- E. Pajer
In Nuclear and High Energy Physics
- C. Cheung
- J. Trnka
- Chia-Hsien Shen
- Congkao Wen
- J. Novotný
- K. Kampf
- N. Arkani-Hamed
- Andrew Strominger
Citations in the corpus
- TASI Lectures on Scattering Amplitudes (2017, unknown): “Here we will focus on the case of a d-dimensional shift [78], though there exist certain versions specialized to four dimensions [46, 79].”
- A periodic table of effective field theories (2016, background): “Moreover, there is evidence of new theories which are extensions of these exceptional theories [63, 64], suggesting a rich interplay between soft limits, BCJ duality, and CHY representation.”
- Unifying relations for scattering amplitudes (2017, methodology): “Finally, if the initial amplitude has three or more biadjoint scalars, then the resulting amplitude is that of the extended NLSM [7], describing pions coupled to biadjoint scalars.”