| A non-perturbative computation of scHADRONIC STRUCTURE FUNCTIONS for deep inelastic lepton hadron scattering has not been achieved yet. In this thesis we investigate the viability of the Hamiltonian approach in order to compute hadronic structure functions. In the literature, the so-called scFRONT FORM (FF) approach is favoured over the conventional the scINSTANT FORM (IF)--the conventional Hamiltonian approach--due to claims (a) that structure functions are related to scLIGHT-LIKE CORRELATION FUNCTIONS and (b) that the front form is much simpler for numerical computations. We dispell both claims using general arguments as well as practical computations (in the case of the scSCALAR MODEL and scTWO-DIMENSIONAL QED) demonstrating (a) that structure functions are related to scSPACE-LIKE CORRELATIONS and that (b) the IF is better suited for practical computations if appropriate approximations are introduced. Moreover, we show that the FF is scUNPHYSICAL in general for reasons as follows: (1) the FF constitutes an scINCOMPLETE QUANTISATION of field theories (2) the FF "predicts" an scINFINITE SPEED OF LIGHT in one space dimension, a scCOMPLETE BREAKDOWN OF MICROCAUSALITY and the scUBIQUITY OF TIME-TRAVEL. Additionally we demonstrate that the FF cannot be approached by so-called {dollar}varepsilon{dollar} co-ordinates. We demonstrate that these co-ordinates are but the instant form in disguise. The FF cannot be legitimated to be an scEFFECTIVE THEORY. Finally, we demonstrate that the so-called scINFINITE MOMENTUM FRAME is neither physical nor equivalent to the FF. |
