Abstract

The discretized light-cone quantization method is applied to study two-body relativistic bound-state problems in a self-interacting complex scalar field model in 1 + 1 dimensions. The interaction Hamiltonian is constructed in the discretized version in the light-cone formulation of quantum field theory and the problem is numerically solved by diagonalizing the invariant-mass operator in a truncated Fock-space basis in the positive-charge sector of the field. Results for binding energies, valence wave functions, structure functions, and the valence and nonvalence contributions to the momentum distribution functions are presented. Solutions of the problems in three-body and multibody states are also discussed.

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