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- Title
On the exactness of soft theorems.
- Authors
Guerrieri, Andrea; Huang, Yu-tin; Li, Zhizhong; Wen, Congkao
- Abstract
Soft behaviours of S-matrix for massless theories reflect the underlying symmetry principle that enforces its masslessness. As an expansion in soft momenta, sub-leading soft theorems can arise either due to (I) unique structure of the fundamental vertex or (II) presence of enhanced broken-symmetries. While the former is expected to be modified by infrared or ultraviolet divergences, the latter should remain exact to all orders in perturbation theory. Using current algebra, we clarify such distinction for spontaneously broken (super) Poincaré and (super) conformal symmetry. We compute the UV divergences of DBI, conformal DBI, and A-V theory to verify the exactness of type (II) soft theorems, while type (I) are shown to be broken and the soft-modifying higher-dimensional operators are identified. As further evidence for the exactness of type (II) soft theorems, we consider the α′ expansion of both super and bosonic open strings amplitudes, and verify the validity of the translation symmetry breaking soft-theorems up to $$ \mathcal{O}\left({\alpha}^{\prime\ 6}\right) $$ . Thus the massless S-matrix of string theory 'knows' about the presence of D-branes.
- Subjects
SYMMETRY (Physics); NUCLEAR structure; ASTRONOMICAL perturbation; CONFORMAL field theory; SCALAR field theory
- Publication
Journal of High Energy Physics, 2017, Vol 2017, Issue 12, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP12(2017)052