Parton Model in Lorentz Invariant Non-Commutative Space

Abstract

We consider the Lorentz invariant non-commutative QED and complete the Feynman rules for the theory up to the order ${\theta }^2$. In the Lorentz invariant version of the non-commutative QED the particles with fractional charges can be also considered. We show that in the parton model, even at the lowest order, the Bjorken scaling violates as $\sim {\theta }^2{Q}^4$.

9 pages, 1 figure, to appear in Phys. Rev. D