The Dirac Equation and Spin $$\frac{1}{2}$$ Fields

Peter Woit ()
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Peter Woit: Columbia University, Department of Mathematics

Chapter Chapter 47 in Quantum Theory, Groups and Representations, 2017, pp 605-620 from Springer

Abstract: 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.

Date: 2017
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DOI: 10.1007/978-3-319-64612-1_47

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