Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effective action and phase transitions of scalar field on the fuzzy
  sphere   Scalar field theory on the fuzzy two-sphere, represented as a hermitian
matrix model that includes kinetic, mass and quartic interaction terms, is
studied. The effective action in the symmetric large-N regime is analyzed using
a self-consistent bootstrap method which fixes its form up to sixth order in
the eigenvalues and gives a closed expression to all orders in the quadratic
invariant of the matrix, valid close to semicircular distributions. Using this
action the eigenvalue distribution is calculated for the interacting theory in
the appropriate scaling limit and the phase transition from the disordered to
the symmetric ordered phase is identified, including nonperturbative effects.

32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org