Cutting the Coon amplitude

نویسندگان

چکیده

A bstract The Coon amplitude is a q -deformed generalization of the Veneziano exhibiting semi-infinite sequence poles that converge on an accumulation point, from which branch cut emerges. number recent papers have provided compelling evidence residues this satisfy positivity requirements imposed by unitarity. This paper investigates whether also satisfied along cut. It demonstrated for wide range -values violations occur in region exponentially close to point according scale set . closing section discusses possible interpretations fact and strategies excising negativity partial wave coefficients. An appendix presents derivations instrumental identities relating -gamma -polygamma functions Weierstrass elliptic quasiperiodic functions.

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ژورنال

عنوان ژورنال: Journal of High Energy Physics

سال: 2023

ISSN: ['1127-2236', '1126-6708', '1029-8479']

DOI: https://doi.org/10.1007/jhep06(2023)114