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Automatic generation of essentially distinct Hugenholtz diagrams

M. A. Tag and S. Khène ()
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M. A. Tag: Department of Material Sciences, SESNV-Faculty, Tebessa University, Tebessa 12002, Algeria
S. Khène: Department of Physics, Faculty of Sciences, LPR-Laboratory, Badji Mokhtar University, Annaba 23000, Algeria

International Journal of Modern Physics C (IJMPC), 2017, vol. 28, issue 09, 1-10

Abstract: A new automatic C/C++ program which generates all linked and essentially distinct vacuum Hugenholtz-type diagrams of many-body perturbation series up to arbitrary order is presented. The output results are shown as lists of integers which present the sites of suitable vertex of each diagram with its symmetry factor. The analysis results up to 10-order are displayed.

Keywords: Hugenholtz diagrams; perturbation theory; group theory (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1142/S0129183117501133

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