Bootstrap Principle for the Spectrum and Scattering of Strings
High Energy Physics - Theory
2025-09-10 v2 High Energy Physics - Phenomenology
Abstract
We show that the Veneziano amplitude of string theory is the unique solution to an analytically solvable bootstrap problem. Uniqueness follows from two assumptions: faster than power-law falloff in high-energy scattering and the existence of some infinite sequence in momentum transfer at which higher-spin exchanges cancel. The string amplitude-including the mass spectrum-is an output of this bootstrap. If the amplitude merely vanishes at high energies, the solution is a three-parameter family containing the Veneziano, Coon, and hypergeometric amplitudes, and more.
Cite
@article{arxiv.2406.02665,
title = {Bootstrap Principle for the Spectrum and Scattering of Strings},
author = {Clifford Cheung and Aaron Hillman and Grant N. Remmen},
journal= {arXiv preprint arXiv:2406.02665},
year = {2025}
}
Comments
5 pages (+ 2 pages supplementary), 1 figure