Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topology and the Dirac Operator Spectrum in Finite-Volume Gauge Theories   The interplay between between gauge-field winding numbers, theta-vacua, and
the Dirac operator spectrum in finite-volume gauge theories is reconsidered. To
assess the weight of each topological sector, we compare the mass-dependent
chiral condensate in gauge field sectors of fixed topological index with the
answer obtained by summing over the topological charge. Also the microscopic
Dirac operator spectrum in the full finite-volume Yang-Mills theory is obtained
in this way, by summing over all topological sectors with the appropriate
weight.

9
The categories of this paper are: nlin
2
The categories of this paper are: math
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an