1966•Journal of Mathematical PhysicsRequires access

The Structure of 4-Spinors

S. Teitler

Abstract

The possible underlying spinor spaces used in the description of Dirac 4-spinors are enumerated and classified within the framework of vector Clifford algebra. The relation with the usual matrix formulation is reviewed. Proper Lorentz transformation, space and time inversions are described in the Clifford algebra formalism. A representation-independent definition of charge sign conjugation is given.

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Key concepts: Spinor, Clifford algebra, Lorentz transformation, Gamma matrices, Multivector, Algebra over a field, Dirac algebra, Formalism (music)