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.
Cite
@article{arxiv.0911.3691,
title = {The Relation Between Equal-Time and Light-Front Wave Functions},
author = {Gerald A. Miller and Brian C. Tiburzi},
journal= {arXiv preprint arXiv:0911.3691},
year = {2013}
}
Comments
16 pages, 2 figures, v3 includes relations between integrated wave functions