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Combinatorial physics, normal order and model Feynman graphs

Solomon, A.I.; Blasiak, P.; Duchamp, G.; Horzela, A. and Penson, K.A. (2003). Combinatorial physics, normal order and model Feynman graphs. In: Symmetries in Science XIII, 2003, Bregenz, Austria.

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The general normal ordering problem for boson strings is a combinatorial problem. In this note we restrict ourselves to single-mode boson monomials. This problem leads to elegant generalisations of well-known combinatorial numbers, such as Bell and Stirling numbers. We explicitly give the generating functions for some classes of these numbers. Finally we show that a graphical representation of these combinatorial numbers leads to sets of model field theories, for which the graphs may be interpreted as Feynman diagrams corresponding to the bosons of the theory. The generating functions are the generators of the classes of Feynman diagrams.

Item Type: Conference Item
Academic Unit/Department: Science > Physical Sciences
Item ID: 4888
Depositing User: Users 6041 not found.
Date Deposited: 14 Jul 2006
Last Modified: 14 Jan 2016 16:10
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