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Cutting the Coon amplitude.
- Source :
- Journal of High Energy Physics; Jun2023, Vol. 2023 Issue 6, p1-24, 24p
- Publication Year :
- 2023
-
Abstract
- The Coon amplitude is a q-deformed generalization of the Veneziano amplitude exhibiting a semi-infinite sequence of poles that converge on an accumulation point, from which a branch cut emerges. A number of recent papers have provided compelling evidence that the residues of this amplitude satisfy the positivity requirements imposed by unitarity. This paper investigates whether positivity is also satisfied along the branch cut. It is demonstrated for a wide range of q-values that positivity violations occur in a region of the branch cut exponentially close to the accumulation point according to a scale set by q. The closing section of the paper discusses possible interpretations of this fact and strategies for excising negativity from the partial wave coefficients. An appendix presents derivations of instrumental identities relating the q-gamma and q-polygamma functions to the Weierstrass elliptic and quasiperiodic functions. [ABSTRACT FROM AUTHOR]
- Subjects :
- RACCOON
ELLIPTIC functions
SCATTERING amplitude (Physics)
OPTIMISM
Subjects
Details
- Language :
- English
- ISSN :
- 11266708
- Volume :
- 2023
- Issue :
- 6
- Database :
- Complementary Index
- Journal :
- Journal of High Energy Physics
- Publication Type :
- Academic Journal
- Accession number :
- 165036540
- Full Text :
- https://doi.org/10.1007/JHEP06(2023)114