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Field equations govern particle behavior from "summary" of The Quantum Theory of Fields by Steven Weinberg,Weinberg S

The behavior of particles in the quantum theory of fields is governed by field equations. These equations describe how fields change and evolve in space and time. The interactions between particles are mediated by these fields, which act as carriers of force between them. In this framework, particles are considered excitations of the underlying fields. When a particle is created or destroyed, it is the field that undergoes a corresponding change. The field equations dictate how these changes occur and how particles move and ...
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    The Quantum Theory of Fields

    Steven Weinberg

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