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arXiv · 2502.18033

Analysis of s-t symmetric classical S-matrices

Abhijit Gadde·Shraiyance Jain
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Abstract

We analyze the complex analytic properties of Classical (tree-level) S-matrices for four scalar particles with s-t crossing symmetry, involving an infinite number of exchanges. Under suitable analytic conditions, we demonstrate that such S-matrices exhibit a spectrum of poles that is equally spaced. We extend this result to S-matrices with accumulating poles, proving that under analogous conditions, their pole spectrum coincides with that of the Coon S-matrix. The boundedness of the S-matrix in the Regge limit is not essential for our results. While studying S-matrices that do not meet the conditions of our theorems, we encounter functions that have novel non-isolated singularities akin to what is called the natural boundary.

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Abhijit Gadde, Shraiyance Jain. 2025-02-25. Analysis of s-t symmetric classical S-matrices. https://arxiv.org/abs/2502.18033

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