On unitarity of the Coon amplitude

Bhardwaj, Rishabh; De, Shounak; Spradlin, Marcus; Volovich, Anastasia

doi:10.1007/jhep08(2023)082

On unitarity of the Coon amplitude

Journal Article · Wed Aug 16 00:00:00 EDT 2023 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep08(2023)082· OSTI ID:2339478

Bhardwaj, Rishabh ^[1]; De, Shounak ^[2]; Spradlin, Marcus ^[2]; Volovich, Anastasia ^[2]

Brown Univ., Providence, RI (United States); BROWN UNIVERSITY
Brown Univ., Providence, RI (United States)

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.

View Accepted Manuscript (DOE)

Research Organization:: Brown Univ., Providence, RI (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0010010

OSTI ID:: 2339478

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 8 Vol. 2023; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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