Parity Transformation in the Front Form

Abstract

By considering the parity-transformation properties of the $(1/2,0)$ and $(0,1/2)$ fields in the {\it front form} we find ourselves forced to study the front-form evolution both along $x^{+}$ and $x^{-}$ directions. As a by product, we find that half of the dynamical degrees of freedom of a full theory live on the $x^{+}=0$ surface and the other half on the $x^{-}=0$ surface. Elsewhere, Jacob shows how these results are required to build a satisfactory, and internally consistent, front-form quantum field theory.

Los Alamos National Laboratory Preprint LA-UR-93-4317