On the positivity of the hypergeometric Veneziano amplitude
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866914742212231168 |
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| author | Rigatos, Konstantinos C. |
| author_facet | Rigatos, Konstantinos C. |
| contents | Recently, an infinite family of one-parameter generalisations of the Veneziano amplitude were bootstrapped using as input assumptions an integer mass spectrum, crossing symmetry, high-energy boundedness, and exchange of finite spins. This new result was dubbed the hypergeometric Veneziano amplitude, with a real-valued deformation parameter r. For concreteness we work in a setup where the lowest-mass state is a tachyon of mass $m^2_0=-1$ and using the partial-wave decomposition and the positivity of said decomposition's coefficients we are able to bound the deformation parameter to $r \geq 0$ and, also, to obtain an upper bound on the number of spacetime dimensions $D \leq 26$, which is the critical dimension of bosonic string theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_12207 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the positivity of the hypergeometric Veneziano amplitude Rigatos, Konstantinos C. High Energy Physics - Theory Recently, an infinite family of one-parameter generalisations of the Veneziano amplitude were bootstrapped using as input assumptions an integer mass spectrum, crossing symmetry, high-energy boundedness, and exchange of finite spins. This new result was dubbed the hypergeometric Veneziano amplitude, with a real-valued deformation parameter r. For concreteness we work in a setup where the lowest-mass state is a tachyon of mass $m^2_0=-1$ and using the partial-wave decomposition and the positivity of said decomposition's coefficients we are able to bound the deformation parameter to $r \geq 0$ and, also, to obtain an upper bound on the number of spacetime dimensions $D \leq 26$, which is the critical dimension of bosonic string theory. |
| title | On the positivity of the hypergeometric Veneziano amplitude |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2310.12207 |