Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Correlation functions in the holographic replica method   Disorder has long been a difficult subject in condensed matter systems and
the The replica method is a well-known tool in this field. Implementing the
replica method the AdS/CFT correspondence has been proposed and discussed in
literatures. We point out, for any CFT that has a holographic dual and to the
leading order of the large-N expansion, the corrections due to the presence of
random disorder to any connected correlation functions vanish identically,
provided that the disorder strength is normalized as discussed in literatures
and that the symmetry among replicas is unbroken. Same must hold true to any
observables that are determined by the connected correlation functions through
a linear relation. This behavior resembles strongly that of a free theory where
disorder is coupled to the fundamental field. We demonstrate this by both the
means of holographic principle and field theory analysis in a toy model. We
also propose ways of evaluating the non-zero sub-leading effects perturbatively
in terms of the disorder strength and discuss a novel possibility of defining a
new holographic dual if we adopt a different normalization for the disorder
strength.

31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
2
The categories of this paper are: math
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an