Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inhomogeneous Chiral Phase in Quark Matter   Recent development of inhomogeneous chiral phase in Kyoto group is briefly
reviewed. First, the nesting effect of the Fermi surface is emphasized as a key
mechanism leading to inhomogeneous chiral phase. After introduction of
inhomogeneous chiral phase, some topological aspect is discussed in 1+1
dimensions and in the presence of the magnetic field in 1+3 dimensions.
Spectral asymmetry gives rise to anomalous quark number and is closely related
to chiral anomaly. It may induce spontaneous magnetization and a novel Lifshitz
point may appear on the line $\mu=0$. Some astronomical implications are
briefly discussed. Finally, the effects of the fluctuations around the order
parameter are discussed; the propagator of the fluctuations exhibits a
singularity at finite momentum and changes the properties of the phase
transition through loop diagrams.

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The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
3
The categories of this paper are: physics
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci