Bootstrap Principle for the Spectrum and Scattering of Strings
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866908525933887488 |
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| author | Cheung, Clifford Hillman, Aaron Remmen, Grant N. |
| author_facet | Cheung, Clifford Hillman, Aaron Remmen, Grant N. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_02665 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bootstrap Principle for the Spectrum and Scattering of Strings Cheung, Clifford Hillman, Aaron Remmen, Grant N. High Energy Physics - Theory High Energy Physics - Phenomenology 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. |
| title | Bootstrap Principle for the Spectrum and Scattering of Strings |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2406.02665 |