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Abstract

Symmetries play an important role in the determination of the structure of the different terms appearing in an effective Lagrangian. For this reason we briefly review in this chapter the basic notions related with global symmetries in quantum field theories (QFT). Starting from the Noether theorem for classical systems we derive the Ward identities for the Green functions. We also review the spontaneous symmetry breaking mechanism, the Goldstone theorem and the Dashen conditions for explicit symmetry breaking.

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© 1997 Springer-Verlag Berlin Heidelberg

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Dobado, A., Gómez-Nicola, A., Maroto, A.L., Peláez, J.R. (1997). Global Symmetries in Quantum Field Theory. In: Effective Lagrangians for the Standard Model. Texts and Monographs in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59191-4_2

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  • DOI: https://doi.org/10.1007/978-3-642-59191-4_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-63889-3

  • Online ISBN: 978-3-642-59191-4

  • eBook Packages: Springer Book Archive

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