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Exploring Inelasticity in the S-Matrix Bootstrap
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abstract
The modern S-Matrix Bootstrap provides non-perturbative bounds on low-energy aspects of scattering amplitudes, leveraging the constraints of unitarity, analyticity and crossing. Typically, the solutions saturating such bounds also saturate the unitarity constraint as much as possible, meaning that they are almost exclusively elastic. This is expected to be unphysical in $d>2$ because of Aks' theorem. We explore this issue by adding inelasticity as an additional input, both using a primal approach in general dimensions which extends the usual ansatz, and establishing a dual formulation in the 2d case. We then measure the effects on the low-energy observables where we observe stronger bounds than in the standard setup.
Forward citations
Cited by 4 Pith papers
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Unitary Dual-Resonance S-matrices
Smearing Veneziano blocks over continuous Regge slopes yields local, analytic, crossing-symmetric S-matrices with full partial-wave unitarity and controllable second-sheet resonances.
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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
New rigorous bounds chart the allowed space of U(N) symmetric 2D scattering amplitudes, with a previously overlooked integrable solution (class VII) at the boundary and periodic extremal amplitudes.
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