Deep connections exist between fields and particles from "summary" of The Quantum Theory of Fields by Steven Weinberg,Weinberg S
The world of elementary particles is a complicated one, filled with a myriad of different entities. These particles are described by quantum fields, which are themselves complex mathematical objects that fill all of space and time. The quantum theory of fields seeks to understand the interactions between these particles and fields, and in doing so, reveals the deep connections that exist between them. At the heart of this theory is the idea that particles are excitations of their corresponding fields. Just as a wave can be thought of as an excitation of the surface of a pond, particles can be thought of as excitations of their respective fields. This means that particles are not separate entities from fields, but rather are intimately linked to them in a fundamental way. When particles interact with one another, they do so by exchanging other particles. These exchanges are mediated by the underlying quantum fields, which act as messengers carrying information between particles. In this way, the interactions between particles are ultimately interactions between the fields that they are excitations of. Furthermore, the properties of particles - such as their mass and charge - are determined by the interactions between these particles and their corresponding fields. For example, the mass of an electron is a result of its interactions with the Higgs field. This connection between particles and their fields is essential in understanding the nature of the physical world.- The quantum theory of fields reveals the deep connections that exist between particles and fields. Particles are excitations of their corresponding fields, and their interactions are ultimately interactions between these fields. The properties of particles are determined by their interactions with their fields, highlighting the fundamental relationship between the two. This understanding is crucial in unraveling the mysteries of the quantum world.
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