Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The O(N) vector model in the large N limit revisited: multicritical
  points and double scaling limit   The multicritical points of the $O(N)$ invariant $N$ vector model in the
large $N$ limit are reexamined. Of particular interest are the subtleties
involved in the stability of the phase structure at critical dimensions. In the
limit $N \to \infty$ while the coupling $g \to g_c$ in a correlated manner (the
double scaling limit) a massless bound state $O(N)$ singlet is formed and
powers of $1/N$ are compensated by IR singularities. The persistence of the $N
\to \infty$ results beyond the leading order is then studied with particular
interest in the possible existence of a phase with propagating small mass
vector fields and a massless singlet bound state. We point out that under
certain conditions the double scaled theory of the singlet field is
non-interacting in critical dimensions.

25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
2
The categories of this paper are: math
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat