Abstract
Up to this point we have used a scalar field to illustrate our discussion of the quantization procedure. However, Nature is richer than that and it is necessary to consider other fields with more complicated behavior under Lorentz transformations. Before considering these other fields we pause and study the properties of the Lorentz group.
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Notes
- 1.
Parity and other discrete symmetries are studied in detail in Chap. 11.
- 2.
From now on we will frequently use the Feynman slash notation, \(a\!\!\!/\equiv \gamma^{\mu}a_{\mu}.\)
- 3.
To simplify notation, and since there is no risk of confusion, we drop from now on the hats to indicate operators.
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© 2012 Springer-Verlag Berlin Heidelberg
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Álvarez-Gaumé, L., Vázquez-Mozo, M.Á. (2012). Theories and Lagrangians I: Matter Fields. In: An Invitation to Quantum Field Theory. Lecture Notes in Physics, vol 839. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23728-7_3
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DOI: https://doi.org/10.1007/978-3-642-23728-7_3
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-23727-0
Online ISBN: 978-3-642-23728-7
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