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Injecting the UV into the Bootstrap: Ising Field Theory
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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 $c_{UV}$ of the UV Conformal Field Theory. We consider two applications: (1) We establish a rigorous lower bound on $c_{UV}$ of a class of $\mathbb{Z}_2$ symmetric scalar theories in the IR (including $\phi^4$); (2) We target Ising Field Theory by, first, minimizing $c_{UV}$ for different values of the magnetic field and, secondly, by determining the allowed range of cubic coupling and one-particle form-factor for fixed $c_{UV} = 1/2$ and magnetic field.
Forward citations
Cited by 3 Pith papers
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Matrix product state simulations of real-time scattering in Ising Field Theory reproduce perturbative results near free fermion and E8 limits and support a conjectured crossover in high-energy elastic versus inelastic...
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A universal finite-energy upper bound on the integrated cross-section for identical scalars is derived; the conjectured saturating "Froissart amplitude" shows Regge trajectories, a rising cross-section, and annulus-li...
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On the space of U(N) scattering amplitudes
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