Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: From short to long scales in the QCD vacuum   We study approximate decimations in SU(N) LGT that connect the short to long
distance regimes, and provide both upper and lower bounds on the exact
partition function. This leads to a representation of the exact partition
function in terms of successive decimations. The implications for a derivation
of confinement from first principles are discussed.

32
The categories of this paper are: atom-ph
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int