Current Operators in Quantum Field Theory and Sum Rules in Deep Inelastic Scattering
High Energy Physics - Theory
2007-05-23 v1
Abstract
It is shown that in the general case the canonical construction of the current operators in quantum field theory does not render a bona fide vector field since Lorentz invariance is violated by Schwinger terms. We argue that the nonexistence of the canonical current operators for spinor fields follows from a very simple algebraic consideration. As a result, the well-known sum rules in deep inelastic scattering are not substantiated.
Cite
@article{arxiv.hep-th/9512010,
title = {Current Operators in Quantum Field Theory and Sum Rules in Deep Inelastic Scattering},
author = {Felix M. Lev},
journal= {arXiv preprint arXiv:hep-th/9512010},
year = {2007}
}
Comments
18 pages, LaTeX