Discuss quantum paths, and the path integral formulation of quantum mechanics

Read the attached files and write 5 discussion posts (100+ words, thoughtful and on topic) about the following items. You can ask questions which you have difficulty to understand or mention any misconceptions in your discussion post.1- discussion of quantum paths, and the path integral formulation of quantum mechanics2- discussion related to the definition of Fermions and Bosons, and what particles are which.3- discussion of the concept of virtual particles, and of antimatter, including the existence of virtual particle-anti-particle pairs out of the vacuum.4- discussion of any other topics related to quantum field theory.5- discussion of how to draw Feynman diagrams and what they mean.