Amplituhedron Theory: A Geometric Approach to Particle Interactions in Quantum Field Theories

 

Abstract: In this paper, we explore the amplituhedron theory introduced by Nima Arkani-Hamed and Jaroslav Trnka in 2013, which provides a geometric framework for calculating particle interactions in some quantum field theories. We discuss the positive Grassmannian and its connection to scattering amplitudes, the role of twistor string theory, and the implications of the amplituhedron for our understanding of spacetime locality, unitarity, and the nature of the universe. We also highlight the simplification of calculations in comparison to traditional Feynman diagrams and the emergent properties of locality and unitarity in the amplituhedron approach.