Veneziano variations: how unique are string amplitudes?
Abstract String theory offers an elegant and concrete realization of how to consistently couple states of arbitrarily high spin. But how unique is this construction? In this paper we derive a novel, multi-parameter family of four-point scattering amplitudes exhibiting i) polynomially bounded high-en...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2023)122 |
| _version_ | 1827957058751692800 |
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| author | Clifford Cheung Grant N. Remmen |
| author_facet | Clifford Cheung Grant N. Remmen |
| author_sort | Clifford Cheung |
| collection | DOAJ |
| description | Abstract String theory offers an elegant and concrete realization of how to consistently couple states of arbitrarily high spin. But how unique is this construction? In this paper we derive a novel, multi-parameter family of four-point scattering amplitudes exhibiting i) polynomially bounded high-energy behavior and ii) exchange of an infinite tower of high-spin modes, albeit with a finite number of states at each resonance. These amplitudes take an infinite-product form and, depending on parameters, exhibit mass spectra that are either unbounded or bounded, thus corresponding to generalizations of the Veneziano and Coon amplitudes, respectively. For the bounded case, masses converge to an accumulation point, a peculiar feature seen in the Coon amplitude but more recently understood to arise naturally in string theory [1]. Importantly, our amplitudes contain free parameters allowing for the customization of the slope and offset of the spin-dependence in the Regge trajectory. We compute all partial waves for this multi-parameter class of amplitudes and identify unitary regions of parameter space. For the unbounded case, we apply similar methods to derive new deformations of the Veneziano and Virasoro-Shapiro amplitudes. |
| first_indexed | 2024-04-09T15:13:09Z |
| format | Article |
| id | doaj.art-a7bf23e4b5464dc0b9e025c83e370042 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-09T15:13:09Z |
| publishDate | 2023-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-a7bf23e4b5464dc0b9e025c83e3700422023-04-30T11:03:48ZengSpringerOpenJournal of High Energy Physics1029-84792023-01-012023112810.1007/JHEP01(2023)122Veneziano variations: how unique are string amplitudes?Clifford Cheung0Grant N. Remmen1Walter Burke Institute for Theoretical Physics, California Institute of TechnologyKavli Institute for Theoretical Physics, University of CaliforniaAbstract String theory offers an elegant and concrete realization of how to consistently couple states of arbitrarily high spin. But how unique is this construction? In this paper we derive a novel, multi-parameter family of four-point scattering amplitudes exhibiting i) polynomially bounded high-energy behavior and ii) exchange of an infinite tower of high-spin modes, albeit with a finite number of states at each resonance. These amplitudes take an infinite-product form and, depending on parameters, exhibit mass spectra that are either unbounded or bounded, thus corresponding to generalizations of the Veneziano and Coon amplitudes, respectively. For the bounded case, masses converge to an accumulation point, a peculiar feature seen in the Coon amplitude but more recently understood to arise naturally in string theory [1]. Importantly, our amplitudes contain free parameters allowing for the customization of the slope and offset of the spin-dependence in the Regge trajectory. We compute all partial waves for this multi-parameter class of amplitudes and identify unitary regions of parameter space. For the unbounded case, we apply similar methods to derive new deformations of the Veneziano and Virasoro-Shapiro amplitudes.https://doi.org/10.1007/JHEP01(2023)122Scattering AmplitudesBosonic StringsEffective Field TheoriesSuperstrings and Heterotic Strings |
| spellingShingle | Clifford Cheung Grant N. Remmen Veneziano variations: how unique are string amplitudes? Journal of High Energy Physics Scattering Amplitudes Bosonic Strings Effective Field Theories Superstrings and Heterotic Strings |
| title | Veneziano variations: how unique are string amplitudes? |
| title_full | Veneziano variations: how unique are string amplitudes? |
| title_fullStr | Veneziano variations: how unique are string amplitudes? |
| title_full_unstemmed | Veneziano variations: how unique are string amplitudes? |
| title_short | Veneziano variations: how unique are string amplitudes? |
| title_sort | veneziano variations how unique are string amplitudes |
| topic | Scattering Amplitudes Bosonic Strings Effective Field Theories Superstrings and Heterotic Strings |
| url | https://doi.org/10.1007/JHEP01(2023)122 |
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