Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An exact solution method for the enumeration of connected Feynman
  diagrams   We completely generalize previous results related to the counting of
connected Feynman diagrams. We use a generating function approach, which
encodes the Wick contraction combinatorics of the respective connected
diagrams. Exact solutions are found for an arbitrary number of external legs,
and a general algorithm is implemented for this calculus. From these solutions,
we calculate many asymptotics expansion terms for a simple analytical tool
(Taylor expansion theorem). Our approach offers new perspectives in the realm
of Feynman diagrams enumeration (or zero-dimensional quantum field theory).

19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys