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The Foldy-Wouthuysen transformation
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The Foldy-Wouthuysen transformation of the Dirac Hamiltonian is generally taught as simply a mathematical trick that allows one to obtain a two-component theory in the low-energy limit. It is not often emphasized that the transformed representation is the only one in which one can take a meaningful *classical limit*, in terms of particles and antiparticles. We briefly review the history and physics of this transformation.
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Chiral kinetic theory from the on-shell effective theory: derivation of collision terms
Collision terms of chiral kinetic theory are derived to order 1/E from the on-shell effective field theory, with spin-dependent couplings to circularly polarized photons, and checked against a QED decay rate.
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