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Dirac Matrices
Introduction The Dirac matrices, or gamma matrices, are a set of matrices with specific anticommutation relations that play a key role in the Dirac equation, a relativistic quantum mechanical wave equation discovered by British physicist Paul Dirac. Definition of Dirac Matrices The Dirac matrices are defined in four-dimensional Minkowski space and are generally denoted as $\gamma^\mu$, where…
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PHY2403H Quantum Field Theory. Lecture 20: Dirac Lagrangian, spinor solutions to the KG equation, Dirac matrices, plane wave solution, helicity. Taught by Prof. Erich Poppitz
PHY2403H Quantum Field Theory. Lecture 20: Dirac Lagrangian, spinor solutions to the KG equation, Dirac matrices, plane wave solution, helicity. Taught by Prof. Erich Poppitz
[Here is another PDF only post, containing my notes for Lecture 20 of the UofT QFT I (quantum field theory) course.]
In this lecture Professor Poppitz derived a rest frame solution of the Dirac equation, then demonstrated that the generalization to non-zero momentum satisfied the equation. We also saw that Dirac spinor solutions of the Dirac equation are KG equation solutions, and touched on the…
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