Abstract
We generalize the scale-invariant parton model to describe fixed-point and asymptotically free guage and nongauge theories. ${Q}^{2}$-dependent scaling laws for the moments of $\ensuremath{\nu}{W}_{2}$ are derived. In fixed-point theories the moments scale as powers of ${Q}^{2}$, while in asymptotically free theories they scale as powers of ${\mathrm{ln}Q}^{2}$. The behaviors of the elastic form factors, the ratio $\frac{{\ensuremath{\sigma}}_{S}}{{\ensuremath{\sigma}}_{T}}$, and the mean-squared transverse momentum of hadron secondaries are discussed in the various theories. The experimental study of these quantities should distinguish clearly between the conventional parton-model and asymptotically free theories of strong interactions.
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