Dirac Equation from the Spinor Lagrangian

Statement

The Lagrangian ψ̄(iγ^μ∂μ−m)ψ with the Clifford algebra {γ^μ,γ^ν}=2η^μν gives the Dirac equation and a positive-definite conserved probability current.

Depends on

Euler-Lagrange Equations for Fields, Representations of the Lorentz Group

Used by

PU-402/L10