Scattering Amplitudes and Positive Grassmannian by Jaroslav Trnka

Scattering Amplitudes and Positive Grassmannian by Jaroslav Trnka

Explore the fascinating world of scattering amplitudes and their connection to the positive Grassmannian in this comprehensive lecture. Delve into the theoretical foundations of particle physics, starting with elementary particles and forces, and progressing through quantum field theory and scattering amplitudes. Discover the limitations of traditional Feynman diagrams and learn about innovative approaches like on-shell diagrams. Examine the mathematical underpinnings, including permutations, positive matrices, and the stratification of the positive Grassmannian. Investigate the surprising connections to cluster algebras and explore advanced concepts such as the Amplituhedron. Gain insights into cutting-edge research in theoretical physics and mathematics, with discussions on non-planar on-shell diagrams and resources for further study.