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

Abstract

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.

16 pages, 2 figures, v3 includes relations between integrated wave functions

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• A light-cone wavefunction approach to open heavy flavor dynamics in QCD matter
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• Transverse Quark Spin Effects and the Flavor Dependence of the Boer-Mulders Function
• Distribution amplitudes and decay constants for $(\pi ,K,\rho ,K^{\ast })$ mesons in light-front quark model
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