TY - JOUR

T1 - Application of discretized light-cone quantization to a field theory of charged and neutral bosons in 1 + 1 dimensions

AU - Hiller, John R.

PY - 1991/1/1

Y1 - 1991/1/1

N2 - The numerical technique of discretized light-cone quantization (DLCQ) is used to study a theory of a charged boson that interacts with a neutral boson through a Yukawa-type coupling. The theory is a generalization of the Wick-Cutkosky model, in the sense that both bosons are massive; however, the number of spatial dimensions is restricted to 1. The charge is treated as an internal quantum number that can be proved with an external photon. The mass-eigenvalue problem is formulated and solved, with the Lanczos algorithm used as the means of matrix diagonalization. In fact, this may be viewed as a preliminary test of the utility of the Lanczos algorithm in the context of DLCQ. Eigenvectors are obtained and then used to compute structure functions, form factors, and charge radii. The instability of the vacuum is indicated by the appearance of imaginary masses.

AB - The numerical technique of discretized light-cone quantization (DLCQ) is used to study a theory of a charged boson that interacts with a neutral boson through a Yukawa-type coupling. The theory is a generalization of the Wick-Cutkosky model, in the sense that both bosons are massive; however, the number of spatial dimensions is restricted to 1. The charge is treated as an internal quantum number that can be proved with an external photon. The mass-eigenvalue problem is formulated and solved, with the Lanczos algorithm used as the means of matrix diagonalization. In fact, this may be viewed as a preliminary test of the utility of the Lanczos algorithm in the context of DLCQ. Eigenvectors are obtained and then used to compute structure functions, form factors, and charge radii. The instability of the vacuum is indicated by the appearance of imaginary masses.

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U2 - 10.1103/PhysRevD.44.2504

DO - 10.1103/PhysRevD.44.2504

M3 - Article

AN - SCOPUS:0000801470

VL - 44

SP - 2504

EP - 2523

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

SN - 1550-7998

IS - 8

ER -