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.
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Acknowledgments
We are grateful to Adam Ball, Luke Lippstreu, Andrzej Pokraka, Lecheng Ren and Akshay Yelleshpur Srikant for useful comments and discussion. This work was supported in part by the U.S. Department of Energy under contract DE-SC0010010 Task F and by Simons Investigator Award #376208.
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Bhardwaj, R., De, S., Spradlin, M. et al. On unitarity of the Coon amplitude. J. High Energ. Phys. 2023, 82 (2023). https://doi.org/10.1007/JHEP08(2023)082
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DOI: https://doi.org/10.1007/JHEP08(2023)082