Logo Logo
Help
Contact
Switch Language to German
Kugler, Fabian B. (2018): Counting Feynman diagrams via many-body relations. In: Physical Review E, Vol. 98, No. 2, 23303
Full text not available from 'Open Access LMU'.

Abstract

We present an iterative algorithm to count Feynman diagrams via many-body relations. The algorithm allows us to count the number of diagrams of the exact solution for the general fermionic many-body problem at each order in the interaction. Further, we apply it to different parquet-type approximations and consider spin-resolved diagrams in the Hubbard model. Low-order results and asymptotics are explicitly discussed for various vertex functions and different two-particle channels. The algorithm can easily be implemented and generalized to many-body relations of different forms and levels of approximation.