Computation of Structure Functions From a Lattice Hamiltonian

Details Computation of Structure Functions From a Lattice Hamiltonian Computation of Structure Functions From a Lattice Hamiltonian

1995-08-06

arxiv.org/abs/hep-lat/9508007v1

Physics

High Energy Physics

High Energy Physics - Lattice

4 pages, three figures. Submitted to Phys.Rev.Lett

Scientific paper

We compute structure functions in the Hamiltonian formalism on a momentum lattice using a physically motivated regularisation that links the maximal parton number to the lattice size. We show for the $\phi ^4 _{3+1}$ theory that our method allows to describe continuum physics. The critical line and the renormalised mass spectrum close to the critical line are computed and scaling behaviour is observed in good agreement with L{\"u}scher and Weisz' lattice results. We then compute distribution functions and find a $Q^2$ behaviour and the typical peak at $x_B\rightarrow 0$ like in $QCD$.

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