Extensions of Theories from Soft Limits
| Autor: | Cachazo, Freddy, Cha, Peter, Mizera, Sebastian |
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| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | JHEP 06 (2016) 170 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/JHEP06(2016)170 |
| Popis: | We 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. Comment: 31 pages, 2 figures, 1 table |
| Databáze: | arXiv |
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