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

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

2009-11-19

arxiv.org/abs/0911.3691v3

Physics

Nuclear Physics

Nuclear Theory

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

Scientific paper

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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