Scattering and Strebel graphs

Autor: Maity, Pronobesh
Rok vydání: 2021
Předmět:
Zdroj: SciPost Phys. 13, 010 (2022)
Druh dokumentu: Working Paper
DOI: 10.21468/SciPostPhys.13.1.010
Popis: We consider a special scattering experiment with n particles in $\mathbb{R}^{n-3,1}$. The scattering equations in this set-up become the saddle-point equations of a Penner-like matrix model, where in the large $n$ limit, the spectral curve is directly related to the unique Strebel differential on a Riemann sphere with three punctures. The solutions to the scattering equations localize along different kinds of graphs, tuned by a kinematic variable. We conclude with a few comments on a connection between these graphs and scattering in the Gross-Mende limit.
Comment: 29 pages, 12 figures, minor corrections in v.2
Databáze: arXiv