Let us consider Dirac equation (iγμ∂μ−m)ψ = 0
as a classical field equation. Is it possible to introduce Poisson bracket on the space of spinors ψ in such a way that Dirac equation becomes Hamiltonian equation
˙ψ = {ψ,H}PB ?
Of course, such Poisson bracket would be graded (super Poisson bracket), but if it exists this would explain on classical level why 12-spinors correspond to fermions.
No comments:
Post a Comment