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The Relation Between Equal-Time and Light-Front Wave Functions

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arxiv 0911.3691 v3 pith:3CKFJ6WE submitted 2009-11-19 nucl-th hep-phnucl-ex

classification nucl-thhep-phnucl-ex
keywords wavefunctionslight-frontequal-timemomentumrelationinstant-formbethe-salpeter
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The relation between equal-time and light-front wave functions is studied using models for which the four-dimensional solution of the Bethe-Salpeter wave function can be obtained. The popular prescription of defining the longitudinal momentum fraction using the instant-form free kinetic energy and third component of momentum is found to be incorrect except in the non-relativistic limit. The only presently known way to obtain light-front wave functions from rest-frame, instant-form wave functions is to boost the latter wave functions to the infinite momentum frame. Despite this fact, we prove a relation between certain integrals of the equal-time and light-front wave functions.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On the Impossibility of Obtaining Time-Independent, Three-Dimensional, Spherically-Symmetric Densities of Confined Systems of Relativistically Moving Constituents

    hep-ph 2025-07 conditional novelty 5.0 of 10

    Time-independent three-dimensional spherical densities cannot be defined for relativistic confined systems; only transverse two-dimensional light-front densities are consistent with quantum mechanics and Poincare invariance.

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