Abstract
We merge together recent developments in the S-matrix bootstrap program to develop a dual setup in 2 space-time dimensions incorporating scattering amplitudes of massive particles and matrix elements of local operators. In particular, the stress energy tensor allows us to input UV constraints on IR observables in terms of the central charge cUV of the UV Conformal Field Theory. We consider two applications: (1) We establish a rigorous lower bound on cUV of a class of ℤ2 symmetric scalar theories in the IR (including ϕ4); (2) We target Ising Field Theory by, first, minimizing cUV for different values of the magnetic field and, secondly, by determining the allowed range of cubic coupling and one-particle form-factor for fixed cUV = 1/2 and magnetic field.
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Acknowledgments
We are grateful to Denis Karateev and Kamran Salehi Vaziri for collaboration at the early stages of this project. We thank Lucía Córdova, Barak Gabai, Alessandro Georgoudis, Kelian Häring, Yifei He, Alexandre Homrich and Pedro Vieira for useful discussions. M.C. is grateful to the Institute for Advanced Study in Princeton and to the Perimeter Institute in Waterloo for the kind hospitality while this work was being completed. This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement number 949077). The authors are also supported by the Simons Foundation grant 488649 (Simons Collaboration on the Nonperturbative Bootstrap) and the Swiss National Science Foundation through the project 200020_197160 and through the National Centre of Competence in Research SwissMAP.
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Correia, M., Penedones, J. & Vuignier, A. Injecting the UV into the bootstrap: Ising Field Theory. J. High Energ. Phys. 2023, 108 (2023). https://doi.org/10.1007/JHEP08(2023)108
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DOI: https://doi.org/10.1007/JHEP08(2023)108