Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Attractive effect of a strong electronic repulsion -- the physics of
  vertex divergences   While the breakdown of the perturbation expansion for the many-electron
problem has several formal consequences, here we unveil its physical effect:
Flipping the sign of the effective electronic interaction in specific
scattering channels. By decomposing local and uniform susceptibilities of the
Hubbard model via their spectral representations, we prove how entering the
non-perturbative regime causes an enhancement of the charge response,
ultimately responsible for the phase-separation instabilities close to the Mott
MIT. Our analysis opens a new route for understanding phase-transitions in the
non-perturbative regime and clarifies why attractive effects emerging from a
strong repulsion can induce phase-separations, but not s-wave pairing or
charge-density wave instabilities.

3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
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The categories of this paper are: math
20
The categories of this paper are: acc-phys