Abstract. We discuss QCD in one space and one time dimension on a finite circle. Boundary conditions force the retention of quantum mechanical (zero-mode) gauge degrees of freedom in a Hamiltonian formulation. We explicitely consider systems of static quarks and find that the dynamics of the zero modes lead to an elimination of fermionic non-singlet states from the spectrum in the continuum limit. Thus a mechanism is exhibited which justifies the quark model prescription of coupling the fermionic constituents alone already to a color singlet. As a further consequence, the effective interaction in larger clusters of quarks has a many-body structure of the flipflop type.

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The Poincaré algebra of classical electrodynamics in one spatial dimension is studied using light-cone coordinates and ordinary Minkowski coordinates. We show that it is possible to quantize the theory by a canonical quantization procedure in a Poincaré invariant manner on the light-cone. We also show that this is not possible when using ordinary coordinates. The physical reason of this anomaly is analysed.

Preliminary results are presented in our program to calculate low moments of structure functions for the proton and neutron on a 24 3 × 32 lattice at β = 6.2. A comparison is made for a variety of smeared nucleon sources and preliminary results for the calculation of the nucleon tensor charge are presented.

ever, that a judicious mixture, with some quadrupole radiation would yield satisfactory results.Of the methods used to predict the number and energy of the p rays emitted, the most successful was the equation of Strutinsky. " The assignment of a constant p-ray energy of 1.5 MeV was not successful.Kiefer' found the constant-energy p-ray assumption was adequate in fitting his experimental data. The present work extends to considerably higher excitation energies and it is at high energies that this assumption proves inadequate. The two methods used for assignment of neutron energies predicted approxi-mately the same total de-excitation and the calculation results were in good agreement.