Entanglement of Fock-space expansion and covariance in light-front Hamiltonian dynamics

Details Entanglement of Fock-space expansion and covariance in light-front Hamiltonian dynamics Entanglement of Fock-space expansion and covariance in light-front Hamiltonian dynamics

1998-06-15

arxiv.org/abs/hep-ph/9806365v1

Phys.Rev.C58:3093-3108,1998

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages, revtex, 14 figures, submitted to Phys.Rev.C

Scientific paper

10.1103/PhysRevC.58.3093

We investigate in a model with scalar ``nucleons'' and mesons the contributions of higher Fock states that are neglected in the ladder approximation of the Lippmann-Schwinger equation. This leads to a breaking of covariance, both in light-front and in instant-form Hamiltonian dynamics. The lowest Fock sector neglected has two mesons in the intermediate state and corresponds to the stretched box. First we show in a simplified example that the contributions of higher Fock states are much smaller on the light-front than in instant-form dynamics. Then we show for a scattering amplitude above threshold that the stretched boxes are small, however, necessary to retain covariance. For an off energy-shell amplitude covariance is not necessarily maintained and this is confirmed by our calculations. Again, the stretched boxes are found to be small.

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