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Abstract

In this chapter, we will study different types of anomalies, both perturbative and nonperturbative, that appear in quantum field theory (QFT). We will consider in detail their physical implications as well as different regularization methods, consistency conditions and their topological interpretation. Our analysis will also include anomalies in the non-linear σ model (NLSM) studied in Chap. 3. The connection with effective Lagrangians is established in detail through the Wess-Zumino-Witten anomalous term. To complete our study, we will also discuss the anomalies that arise due to scale transformations, known as trace anomalies.

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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). Anomalies. 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_4

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  • DOI: https://doi.org/10.1007/978-3-642-59191-4_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-63889-3

  • Online ISBN: 978-3-642-59191-4

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