Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Ground State Correlation Energy of the Random Phase Approximation
  from a Ring Coupled Cluster Doubles Approach   We present an analytic proof demonstrating the equivalence between the Random
Phase Approximation (RPA) to the ground state correlation energy and a
ring-diagram simplification of the Coupled Cluster Doubles (CCD) equations. In
the CCD framework, the RPA equations can be solved in $\mathcal{O}(N^4)$
computational effort, where $N$ is proportional to the number of basis
functions.

23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga