Discretized Light-Cone Quantization: Solving a 1+1 dimensional field theory (QED)

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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16 pages, LaTeX, a4 and epsf macro used

Scientific paper

We describe the programming method for generating the spectrum of bound states for relativistic quantum field theories using the nonperturbative Hamiltonian approach of Discretized Light-Cone Quantization. The method is intended for eventual application to quantum chromodynamics in 3+1 dimensions. Here the fundamental principles are illustrated concretely by treatment of QED in two dimensions. The code is intended as a basis for extensions to include more complicated gauge symmetry groups, such as SU(3) color, and other quantum numbers. The code was written in Fortran 77 and implemented on a DEC 5000-260 workstation with a typical runtime of 0.2s at total momentum 10.

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