Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Disordered Field Theory in $d=0$ and Distributional Zeta-Function   Recently we introduced a new technique for computing the average free energy
of a system with quenched randomness. The basic tool of this technique is a
distributional zeta-function. The distributional zeta-function is a complex
function whose derivative at the origin yields the average free energy of the
system as the sum of two contributions: the first one is a series in which all
the integer moments of the partition function of the model contribute; the
second one, which can not be written as a series of the integer moments, can be
made as small as desired. In this paper we present a mathematical rigorous
proof that the average free energy of one disordered $\lambda\varphi^{4}$ model
defined in a zero-dimensional space can be obtained using the distributional
zeta-function technique. We obtain an analytic expression for the average free
energy of the model.

29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat