English

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

High Energy Physics - Phenomenology 2010-11-19 v1

Abstract

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.

Keywords

Cite

@article{arxiv.hep-ph/9605363,
  title  = {Note on restoring manifest rotational symmetry in hyperfine and fine structure in light-front QED},
  author = {Martina Brisudova and Robert Perry},
  journal= {arXiv preprint arXiv:hep-ph/9605363},
  year   = {2010}
}

Comments

17 pages, latex file