dorsal/arxiv
View SchemaCombinatorial Physics, Normal Order and Model Feynman Graphs
| Authors | A. I. Solomon, P. Blasiak, G. Duchamp, A. Horzela, K. A. Penson |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0310174 |
| URL | https://arxiv.org/abs/quant-ph/0310174 |
| Journal | Symmetries in Science Vol. XI,(Kluwer Academic Publishers), p. 527-536(2004) |
Abstract
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.
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"abstract": "The general normal ordering problem for boson strings is a combinatorial\nproblem. In this note we restrict ourselves to single-mode boson monomials.\nThis problem leads to elegant generalisations of well-known combinatorial\nnumbers, such as Bell and Stirling numbers. We explicitly give the generating\nfunctions for some classes of these numbers. Finally we show that a graphical\nrepresentation of these combinatorial numbers leads to sets of model field\ntheories, for which the graphs may be interpreted as Feynman diagrams\ncorresponding to the bosons of the theory. The generating functions are the\ngenerators of the classes of Feynman diagrams.",
"arxiv_id": "quant-ph/0310174",
"authors": [
"A. I. Solomon",
"P. Blasiak",
"G. Duchamp",
"A. Horzela",
"K. A. Penson"
],
"categories": [
"quant-ph",
"math.CO"
],
"journal_ref": "Symmetries in Science Vol. XI,(Kluwer Academic Publishers), p.\n 527-536(2004)",
"title": "Combinatorial Physics, Normal Order and Model Feynman Graphs",
"url": "https://arxiv.org/abs/quant-ph/0310174"
},
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