Abstract:
The definition of reducihility of a connected diagram is introduced, which makes
it possible to extend the definition of reducibility of a diagram [1] to the n>4,
and also to formulate the definition of dressed n-tail vertex with n arbitrarily large.
Some theorems about topological properties of diagrams with vertices of arbitrarily
high order are proved.
Citation:
Yu. M. Pis'mak, “Combinatorial analysis of the overlapping problem for vertices with more than four legs”, TMF, 24:1 (1975), 34–48; Theoret. and Math. Phys., 24:1 (1975), 649–658
\Bibitem{Pis75}
\by Yu.~M.~Pis'mak
\paper Combinatorial analysis of the overlapping problem for vertices with more than four legs
\jour TMF
\yr 1975
\vol 24
\issue 1
\pages 34--48
\mathnet{http://mi.mathnet.ru/tmf3964}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=489437}
\zmath{https://zbmath.org/?q=an:0321.05125}
\transl
\jour Theoret. and Math. Phys.
\yr 1975
\vol 24
\issue 1
\pages 649--658
\crossref{https://doi.org/10.1007/BF01036624}
This publication is cited in the following 6 articles:
A. L. Pismenskii, Yu. M. Pis'mak, “Scaling violation and the appearance of mass in scalar quantum field theories”, Theoret. and Math. Phys., 217:1 (2023), 1495–1504
Bagaev A.A. Pis'mak Yu.M., “The 0D Quantum Field Theory: Multiple Integrals Via Background Field Formalism”, Proceedings of the International Conference on Days on Diffraction 2016 (Dd), ed. Motygin O. Kiselev A. Kapitanova P. Goray L. Kazakov A. Kirpichnikova A., IEEE, 2016, 41–45
Aleksei A. Bagaev, Yuri M. Pis'mak, 2016 Days on Diffraction (DD), 2016, 41
Bagaev A.A., “Effektivnoe deistvie v formalizme fonovogo polya”, Vestnik sankt-peterburgskogo universiteta. seriya 4: fizika. khimiya, 2012, no. 3, 56–65
An effective action in the background field formalism /
Christian Brouder, Quantum Field Theory, 2009, 163
Yu. M. Pis'mak, “Combinational analysis of the overlapping problem for vertices with more than four legs. II. Higher Legendre transforms”, Theoret. and Math. Phys., 24:2 (1975), 755–767
Citation in format AMSBIB
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