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Castro, E. (2018) Equivalence between the Arquès-Walsh sequence formula and the number of connected Feynman diagrams for every perturbation order in the fermionic many-body problem. Journal of Mathematical Physics, 59. 23503pp. doi:10.1063/1.4994824

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Reference TypeJournal (article/letter/editorial)
TitleEquivalence between the Arquès-Walsh sequence formula and the number of connected Feynman diagrams for every perturbation order in the fermionic many-body problem
JournalJournal of Mathematical Physics
AuthorsCastro, E.Author
Year2018 (February)Volume59
PublisherAIP Publishing
DOIdoi:10.1063/1.4994824Search in ResearchGate
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Mindat Ref. ID5771723Long-form Identifiermindat:1:5:5771723:2
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Full ReferenceCastro, E. (2018) Equivalence between the Arquès-Walsh sequence formula and the number of connected Feynman diagrams for every perturbation order in the fermionic many-body problem. Journal of Mathematical Physics, 59. 23503pp. doi:10.1063/1.4994824
Plain TextCastro, E. (2018) Equivalence between the Arquès-Walsh sequence formula and the number of connected Feynman diagrams for every perturbation order in the fermionic many-body problem. Journal of Mathematical Physics, 59. 23503pp. doi:10.1063/1.4994824
In(n.d.) Journal of Mathematical Physics Vol. 59. AIP Publishing

See Also

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Castro, E R, Roditi, I (2019) A recursive enumeration of connected Feynman diagrams with an arbitrary number of external legs in the fermionic non-relativistic interacting gas. Journal of Physics A: Mathematical and Theoretical, 52. 345401pp. doi:10.1088/1751-8121/ab31f2
Mattuck, Richard D., Chang, Howard (1969) A Guide to Feynman Diagrams in the Many-Body Problem. Physics Today, 22. 87-89 doi:10.1063/1.3035595
Castro, E R, Roditi, I (2020) An exact solution method for the enumeration of connected Feynman diagrams. Journal of Physics A: Mathematical and Theoretical, 53 (24) 245203pp. doi:10.1088/1751-8121/ab8ef5
Girardeau, M. D. (1970) Formulation of the Many‐Body Problem for Composite Particles. II. Equivalence of Physical and Ideal State Spaces. Journal of Mathematical Physics, 11. 681-683 doi:10.1063/1.1665183
Brereton, M G (1976) A Guide to Feynman Diagrams in the Many-Body Problem (2nd edn). Physics Bulletin, 27. 505 doi:10.1088/0031-9112/27/11/041
Rozansky, L. (1994) Reshetikhin’s formula for the Jones polynomial of a link: Feynman diagrams and Milnor’s linking numbers. Journal of Mathematical Physics, 35. 5219-5246 doi:10.1063/1.530749
Jacobs, A. E. (1981) Number of Feynman diagrams in arbitrary order of perturbation theory. Physical Review D, 23 (8). 1760-1763 doi:10.1103/physrevd.23.1760
Lundqvist, S. (1979) A guide to Feynman diagrams in the many-body problem. Nuclear Instruments and Methods, 160 (1). 202pp. doi:10.1016/0029-554x(79)90188-5
Rossky, P. J., Karplus, Martin (1976) The enumeration of Goldstone diagrams in many‐body perturbation theory. The Journal of Chemical Physics, 64 (4) 1596-1603 doi:10.1063/1.432387
Mahmoud, Ali Assem (2023) An asymptotic expansion for the number of two-connected chord diagrams. Journal of Mathematical Physics, 64 (12) doi:10.1063/5.0171074
Battaglia, Franco, George, Thomas F. (1984) A rule for the total number of topologically distinct Feynman diagrams. Journal of Mathematical Physics, 25. 3489-3491 doi:10.1063/1.526117
 
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