Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Renormalization Group Approach to the Beam-Beam Interaction in Circular
  Colliders   Building on the Renormalization Group (RG) method the beam-beam interaction
in circular colliders is studied. A regularized symplectic RG beam-beam map,
that describes successfully the long-time asymptotic behavior of the original
system has been obtained. The integral of motion possessed by the regularized
RG map has been used to construct the invariant phase space density (stationary
distribution function), and a coupled set of nonlinear integral equations for
the distributions of the two colliding beams has been derived.

19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
2
The categories of this paper are: math