Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vertex renormalization in weak decays of Cooper pairs and cooling
  compact stars   At temperatures below the critical temperature of superfluid phase transition
baryonic matter emits neutrinos by breaking and recombination of Cooper pairs
formed in the condensate. The strong interactions in the nuclear medium modify
the weak interaction vertices and the associated neutrino loss rates. We study
these modifications non-perturbatively by summing infinite series of
particle-hole loops in the S-wave superfluid neutron matter. The pairing and
particle-hole interactions in neutron matter are described in the framework of
the BCS and Fermi-liquid theories derived from microscopic interactions.
Consistent with the f-sum rule, the leading order contribution to the
polarization tensor arises at O(q^2) in the small momentum transfer, q,
expansion. The associated neutrino emission rate is parametrically suppressed
compared to its one-loop counterpart by a factor of the order of 5\times
10^{-3}, the parameter being the baryon recoil in units of temperature.

1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org