A Computer Model of Quantum Field Theory

This paper describes a computer model of Quantum Field Theory (QFT), referred to in this paper as QTModel. After specifying the initial configuration for a QFT process (e.g. scattering) the model generates the possible applicable processes in terms of Feynman diagrams, the equations for the scattering matrix, and evaluates probability amplitudes for the scattering matrix and cross sections. The computations of probability amplitudes are performed numerically. The equations generated by QTModel are provided for demonstration purposes only. They are not directly used as the base for the computations of probability amplitudes. The computer model supports two modes for the computation of the probability amplitudes: (1) computation according to standard QFT, and (2) computation according to a proposed functional interpretation of quantum theory.

• Hans H. Diel

• Computational Modeling
• Simulation of Quantum Theory
• Quantum Field Theory
• Quantum Electrodynamics

<p>[1] H .Diel, On the Computability of Quantum Theory, International Journal of Computational Physical Sciences. ISSN 0976-5875 Volume 4, Number 1 (2013), [2] F. J. Dyson, Advanced Quantum Mechanics, arXiv:quant-ph/0608140v1, 2006 [3] F. Mandl,G. Shaw, Quantenfeldtheorie, AULA Verlag, 1993 [4] D. McMahon, Quantum Field Theory Demystified, Mc Graw Hill, 2008 [5] D. Griffiths, Einfuehrung in die Elementarteilchenphysik, Wiley-VCH, 1999 [6] H. Diel, A Functional Interpretation of Quantum Theory, Proceedings ICCQMNP Barcelona, 2013</p>