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math-ph2020★ 2 cited
An exact solution method for the enumeration of connected Feynman diagrams
Erick Ramon Castro, Itzhak Roditi
We completely generalize previous results related to the counting of connected Feynman diagrams. We use a generating function approach, which encodes the Wick contraction combinato…
math-ph2018★ 4 cited
Equivalence between the Arquès-Walsh sequence formula and the number of connected Feynman diagrams for every perturbation order in the fermionic many-body problem
Erick Castro
From the perturbative expansion of the exact Green function, an exact counting formula is derived to determine the number of different types of connected Feynman diagrams. This for…
math-ph2018★ 4 cited
A combinatorial matrix approach for the generation of vacuum Feynman graphs multiplicities in theory
Erick Castro, Itzhak Roditi
From the standard procedure for constructing Feynman vacuum graphs in theory from the generating functional , we find a relation with sets of certain combinatorial matrice…