All-Loop Scattering as a Counting Problem

Explore a groundbreaking physics lecture that presents a revolutionary approach to understanding scattering amplitudes through combinatorial concepts in kinematic space. Delve into a detailed examination of colored scalar particles with cubic interactions, discovering a novel formula for loop-integrated amplitudes that bypasses traditional Feynman diagram summations. Learn how a simple kinematic variable transformation connects this theoretical framework to practical applications in pion physics and Yang-Mills theory. Master advanced concepts in particle physics as the lecture demonstrates how fundamental principles of spacetime and quantum mechanics emerge from deeper mathematical structures, representing a significant advancement in theoretical physics. Through this 77-minute presentation from the CMSA Conference on Mathematics in Science, gain insights into how complex scattering problems can be reduced to elegant counting solutions, potentially revolutionizing our understanding of particle interactions.