Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Characteristics of the eigenvalue distribution of the Dirac operator in
  dense two-color QCD   We exposit the eigenvalue distribution of the lattice Dirac operator in
Quantum Chromodynamics with two colors (i.e. two-color QCD). We explicitly
calculate all the eigenvalues in the presence of finite quark chemical
potential \mu for a given gauge configuration on the finite-volume lattice.
First, we elaborate the Banks-Casher relations in the complex plane extended
for the diquark condensate as well as the chiral condensate to relate the
eigenvalue spectral density to the physical observable. Next, we evaluate the
condensates and clarify the characteristic spectral change corresponding to the
phase transition. Assuming the strong coupling limit, we exhibit the numerical
results for a random gauge configuration in two-color QCD implemented by the
staggered fermion formalism and confirm that our results agree well with the
known estimate quantitatively. We then exploit our method in the case of the
Wilson fermion formalism with two flavors. Also we elucidate the possibility of
the Aoki (parity-flavor broken) phase and conclude from the point of view of
the spectral density that the artificial pion condensation is not induced by
the density effect in strong-coupling two-color QCD.

16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin