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- Title
On unitarity of the Coon amplitude.
- Authors
Bhardwaj, Rishabh; De, Shounak; Spradlin, Marcus; Volovich, Anastasia
- Abstract
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.
- Subjects
RACCOON; SCATTERING amplitude (Physics); OPTIMISM
- Publication
Journal of High Energy Physics, 2023, Vol 2023, Issue 8, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP08(2023)082