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Quantum electrodynamics governs electromagnetic interactions from "summary" of The Quantum Theory of Fields by Steven Weinberg,Weinberg S

Quantum electrodynamics, the quantum field theory of electromagnetism, is the most successful physical theory ever developed. It describes the interactions of electrically charged particles with light, or more generally with the electromagnetic field. As such, quantum electrodynamics governs electromagnetic interactions with remarkable precision, predicting the outcomes of experiments involving charged particles and electromagnetic fields with unbelievable accuracy. At the heart of quantum electrodynamics is the idea that electrically charged particles, such as electrons and positrons, can emit and absorb photons, which are the quanta of the electromagnetic field. These interactions are described mathematically by Feynman diagrams, which represent the possible ways in which particles can interact by exchanging photons. The probability amplitudes for these interactions are calculated using perturbation theory, a powerful technique that allows for the systematic calculation of physical quantities in terms of a small parameter, such as the fine-structure constant. One of the most remarkable predictions of quantum electrodynamics is the existence of virtual particles, which are particles that exist only fleetingly as intermediate states in particle interactions. These virtual particles play a crucial role in the renormalization of the theory, allowing for the cancellation of infinities that arise in perturbative calculations. The success of quantum electrodynamics in predicting experimental results to high precision is a testament to the power and beauty of the theory. Despite its success, quantum electrodynamics is not without its challenges. The theory is plagued by infinities that arise in perturbative calculations, leading to the need for renormalization techniques to remove these divergences. The renormalization process is a key aspect of quantum field theory, allowing for the consistent calculation of physical quantities in the presence of infinities. While the mathematical machinery of quantum electrodynamics can be daunting, the fundamental principles of the theory are elegant and intuitive, providing a deep understanding of the nature of electromagnetic interactions. In summary, quantum electrodynamics governs electromagnetic interactions with unparalleled precision, providing a framework for understanding the behavior of charged particles in the presence of electromagnetic fields. The success of quantum electrodynamics in predicting experimental results is a testament to the power and beauty of the theory, despite the challenges posed by infinities in perturbative calculations. By describing the interactions of electrically charged particles with light in terms of Feynman diagrams and virtual particles, quantum electrodynamics provides a deep and comprehensive understanding of the fundamental forces of nature.
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    The Quantum Theory of Fields

    Steven Weinberg

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