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arxiv: hep-ph/9903388 · v1 · submitted 1999-03-17 · ✦ hep-ph

Application of Pauli-Villars Regularization and Discretized Light-Cone Quantization to a (3+1)-Dimensional Model

classification ✦ hep-ph
keywords averagedimensionallight-conemodelpauli-villarsquantizationregularizationalgorithm
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We apply Pauli-Villars regularization and discrete light-cone quantization to the nonperturbative solution of a (3+1)-dimensional model field theory. The matrix eigenvalue problem is solved for the lowest-mass state with use of the complex symmetric Lanczos algorithm. This permits the calculation of each Fock-sector wave function, and from these we obtain values for various quantities, such as average multiplicities and average momenta of constituents, structure functions, and a form factor slope.

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