The S-matrix bootstrap. Part I: QFT in AdS
By M. Paulos, J. Penedones, J. Toledo, B. C. Rees, P. Vieira. 2016
226 citations recorded by the source corpus.
A bstractWe propose a strategy to study massive Quantum Field Theory (QFT) using conformal bootstrap methods. The idea is to consider QFT in hyperbolic space and study correlation functions of its boundary operators. We show that these are solutions of the crossing equations in one lower dimension. By sending the curvature radius of the background hyperbolic space to infinity we expect to recover flat-space physics. We explain that this regime corresponds to large scaling dimensions of the boundary operators, and discuss how to obtain the flat-space scattering amplitudes from the corresponding limit of the boundary correlators. We implement this strategy to obtain universal bounds on the strength of cubic couplings in 2D flat-space QFTs using 1D conformal bootstrap techniques. Our numerical results match precisely the analytic bounds obtained in our companion paper using S-matrix bootstrap techniques.
Subfields: Geometry and Topology, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/96dc990c3e01ee3c9373e0ffe8c432cc95c749f7
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In Geometry and Topology
In Nuclear and High Energy Physics
- David Poland
- David Simmons-Duffin
- S. Rychkov
- A. Vichi
- A. Fitzpatrick
- Jared Kaplan
- V. Gorbenko
- Mehrdad Mirbabayi
Citations in the corpus
- Asymptotic fragility, near AdS2 holography and TT¯$$ T\overline{T} $$ (2017, methodology): “Morally the resulting procedure is similar to the one implemented in [24], although some details are different.”
- The conformal bootstrap: Theory, numerical techniques, and applications (2018, background): “This idea was shown to work well in d = 1 in El-Showk and Paulos (2018) and Paulos et al. (2017).(88) It appears very promising and it needs to be further explored and extended, especially into higher dimensions.”