Abstract
The space of solutions to the Klein–Gordon equation gives an irreducible representation of the Poincaré group corresponding to a relativistic particle of mass m and spin zero. Elementary matter particles (quarks and leptons) are spin \(\frac{1}{2}\) particles, and we would like to have a relativistic wave equation that describes them, suitable for building a quantum field theory.
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© 2017 Peter Woit
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Woit, P. (2017). The Dirac Equation and Spin \(\frac{1}{2}\) Fields. In: Quantum Theory, Groups and Representations. Springer, Cham. https://doi.org/10.1007/978-3-319-64612-1_47
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DOI: https://doi.org/10.1007/978-3-319-64612-1_47
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-64610-7
Online ISBN: 978-3-319-64612-1
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