On unitarity of the Coon amplitude
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| Soggetti: | |
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| _version_ | 1866916081122148352 |
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| author | Bhardwaj, Rishabh De, Shounak Spradlin, Marcus Volovich, Anastasia |
| author_facet | Bhardwaj, Rishabh De, Shounak Spradlin, Marcus Volovich, Anastasia |
| contents | The Coon amplitude is a one-parameter deformation of the Veneziano amplitude. We explore the unitarity of the Coon amplitude through its partial wave expansion using tools from $q$-calculus. Our analysis establishes manifest positivity on the leading and sub-leading Regge trajectories in arbitrary spacetime dimensions $D$, while revealing a violation of unitarity in a certain region of $(q,D)$ parameter space starting at the sub-sub-leading Regge order. A combination of numerical studies and analytic arguments allows us to argue for the manifest positivity of the partial wave coefficients in fixed spin and Regge asymptotics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_00764 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On unitarity of the Coon amplitude Bhardwaj, Rishabh De, Shounak Spradlin, Marcus Volovich, Anastasia High Energy Physics - Theory The Coon amplitude is a one-parameter deformation of the Veneziano amplitude. We explore the unitarity of the Coon amplitude through its partial wave expansion using tools from $q$-calculus. Our analysis establishes manifest positivity on the leading and sub-leading Regge trajectories in arbitrary spacetime dimensions $D$, while revealing a violation of unitarity in a certain region of $(q,D)$ parameter space starting at the sub-sub-leading Regge order. A combination of numerical studies and analytic arguments allows us to argue for the manifest positivity of the partial wave coefficients in fixed spin and Regge asymptotics. |
| title | On unitarity of the Coon amplitude |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2212.00764 |