Application of Pauli-Villars regularization and discretized light-cone quantization to a(3+1)-dimensional model

Abstract

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.