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Explore the theoretical physics problem of scattering amplitudes when dealing with an extremely large number of particles (n = 10^1000) in this high energy physics seminar. Learn about a novel approach to studying tree-level scattering in Tr(φ³) scalar theory that circumvents traditional methods like Feynman diagrams and recursion relations. Discover how the sum over diagrams "smooths out" at large n, leading to remarkably simple solutions in certain kinematic regions that can be determined through optimization problems associated with biased random walks. Examine the development of a new "dual" theory for amplitudes that reduces to particle motion on a half-line in simple limits, enabling systematic extraction of the 1/n expansion. Understand how these theoretical insights extend to broader large n contexts, including pion scattering and string scattering at ultra-high energies, presented by Carolina Figueiredo from Princeton University.
