Abstract
The role of symmetries, both discrete and continuous, in Quantum Mechanics is one of the main topics of a Standard course for graduate students. In Quantum Field Theory symmetries are even more important, but any attempt of a systematic and unified treatment is made extremely difficult by the great variety of reaiizations that one encounters in the different dynamical frameworks. The mechanism of the spontaneous breakdown and the Goldstone theorem, the properties of the currents and their commutator algebras, the quantum anomalies, are three well known examples of the various aspects that symmetries assume in a quantum field theory.
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References
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© 1990 Springer-Verlag Berlin, Heidelberg
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Becchi, C. (1990). An Introduction to the Renormalization of Theories with Continuous Symmetries, to the Chiral Models and to Their Anomalies. In: Mitter, H., Schweiger, W. (eds) Fields and Particles. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-76090-7_2
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DOI: https://doi.org/10.1007/978-3-642-76090-7_2
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