ABSTRACT

This chapter discusses the emergence of the properties of interacting particles, followed by the emergence of qualitatively new forms of particles. It explores how interactions lead directly to the physical masses and charges of particles in Quantum field theory (QFT) and how they bring about states of matter that support the existence of novel forms of particles. QFT is the only known method of combining quantum mechanics and special relativity. In practice, QFT involves the process of writing down a Lagrangian, built from classical fields, and then quantizing it. The aim of quantization is to express the properties of a system in terms of the number of particle excitations present. The properties of the new excitations realized in the broken symmetry state might then have a claim to be realized by a stronger form of emergence. From the point of view of renormalization group analysis, the emergence of particle properties is bound up in notions of scale.