Scattering amplitudes describe particle collisions from "summary" of The Quantum Theory of Fields by Steven Weinberg,Weinberg S
Scattering amplitudes are central to the description of particle collisions in quantum field theory. These amplitudes provide a way to calculate the probabilities of different outcomes when particles interact with each other. In essence, they encapsulate the dynamics of the interaction between particles and allow us to make predictions about the behavior of particles in a collision. When two particles collide, they can exchange energy and momentum, leading to a variety of possible outcomes. The scattering amplitude quantifies the likelihood of each of these outcomes occurring. By calculating the scattering amplitudes for a given set of initial and final states, we can determine the probabilities of different scattering processes taking place. In quantum field theory, particles are represented as excitations of underlying fields that permeate space. These fields interact with each other by exchanging other particles known as force carriers. The scattering amplitudes take into account these interactions between the fields and provide a way to c...
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