Abstract

Lorentz-transformation properties of bound-state Bethe-Salpeter wave functions are discussed. It is noted first that the Lorentz-transformation effect comes through the Green's function in the Bethe-Salpeter integral equation. The transformation properties of the Green's function are then investigated in detail. It is shown that the Green's function exhibits a $\ensuremath{\delta}$-function-like Lorentz contraction in the high-energy limit. It is shown also that the bound-state wave function has the same contraction property.

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