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arXiv · 0911.3691

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

Gerald A. Miller·Brian C. Tiburzi
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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.

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Gerald A. Miller, Brian C. Tiburzi. 2009-11-25. The Relation Between Equal-Time and Light-Front Wave Functions. https://doi.org/10.1103/physrevc.81.035201

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