All tree level scattering amplitudes in Chern-Simons theories with fundamental matter
| Autor: | Karthik Inbasekar, V. Umesh, Pranjal Nayak, Sachin Jain |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Physics
High Energy Physics - Theory 010308 nuclear & particles physics Scattering Chern–Simons theory FOS: Physical sciences General Physics and Astronomy Fermion Function (mathematics) Coupling (probability) Computer Science::Digital Libraries 01 natural sciences Scattering amplitude Tree (descriptive set theory) High Energy Physics - Theory (hep-th) Quantum mechanics 0103 physical sciences Fundamental representation 010306 general physics Mathematical physics |
| Zdroj: | Physical Review Letters |
| Popis: | We show that Britto-Cachazo-Feng-Witten (BCFW) recursion relations can be used to compute all tree level scattering amplitudes in terms of $2\rightarrow2$ scattering amplitude in $U(N)$ ${\mathcal N}=2$ Chern-Simons (CS) theory coupled to matter in fundamental representation. As a byproduct, we also obtain a recursion relation for the CS theory coupled to regular fermions, even though in this case standard BCFW deformations do not have a good asymptotic behaviour. Moreover at large $N$, $2\rightarrow 2$ scattering can be computed exactly to all orders in 't Hooft coupling as was done in earlier works by some of the authors. In particular, for ${\mathcal N}=2$ theory, it was shown that $2\rightarrow 2$ scattering is tree level exact to all orders except in the anyonic channel arXiv:1505.06571, where it gets renormalized by a simple function of 't Hooft coupling. This suggests that it may be possible to compute the all loop exact result for arbitrary higher point scattering amplitudes at large $N$. RevTEX 4.1, 5 pages+6 Appendices, 7 figures; V2 Published version |
| Databáze: | OpenAIRE |
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