Abstract
Maxwell’s theory of electromagnetism as well as Einstein’s theory of gravitation are without any doubt among the most beautiful classical theories and also the most fundamental since they have to do with the description of elementary interactions. It is remarkable that Maxwell’s theory has its quantum counterpart, thanks to the success of renormalization theory, at least in the restricted formal power series sense. Whereas the quantum counterpart of Einstein’s theory is yet to be found, quantum electrodynamics has repeatedly served as a model for interactions at the elementary level, in the realm of weak interactions as well as in the realm of strong interactions. Whereas the idea has been put forward that gauge theories are most aesthetical, it has taken a number of theoretical steps before those could be put to work in a way formally at least as satisfactory as quantum electrodynamics.
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Footnotes and References
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Stora, R. (1977). Continuum Gauge Theories. In: Lévy, M., Mitter, P. (eds) New Developments in Quantum Field Theory and Statistical Mechanics Cargèse 1976. Nato Advanced Study Institutes Series, vol 26. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-8918-1_8
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