Note on restoring manifest rotational symmetry in hyperfine and fine structure in light-front QED

Details Note on restoring manifest rotational symmetry in hyperfine and fine structure in light-front QED Note on restoring manifest rotational symmetry in hyperfine and fine structure in light-front QED

1996-05-21

arxiv.org/abs/hep-ph/9605363v1

Phys.Rev.D54:6453-6458,1996

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages, latex file

Scientific paper

10.1103/PhysRevD.54.6453

We study the part of the renormalized, cutoff QED light-front Hamiltonian that does not change particle number. The Hamiltonian contains interactions that must be treated in second-order bound state perturbation theory to obtain hyperfine structure. We show that a simple unitary transformation leads directly to the familiar Breit-Fermi spin-spin and tensor interactions, which can be treated in degenerate first-order bound-state perturbation theory, thus simplifying analytic light-front QED calculations. To the order in momenta we need to consider, this transformation is equivalent to a Melosh rotation. We also study how the similarity transformation affects spin-orbit interactions.

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