Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inhomogeneities in the $2$-Flavor Chiral Gross-Neveu Model   We investigate the finite-temperature and -density chiral Gross-Neveu model
with an axial U$_A$(1) symmetry in $1+1$ dimensions on the lattice. In the
limit where the number of flavors $N_\mathrm{f}$ tends to infinity the
continuum model has been solved analytically and shows two phases: a symmetric
high-temperature phase with a vanishing condensate and a low-temperature phase
in which the complex condensate forms a chiral spiral which breaks translation
invariance. In the lattice simulations we employ chiral SLAC fermions with
exact axial symmetry. Similarly to $N_\mathrm{f}\to\infty$, we find for $8$
flavors, where quantum and thermal fluctuations are suppressed, two distinct
regimes in the $(T,\mu)$ phase diagram, characterized by qualitatively
different behavior of the two-point functions of the condensate fields. More
surprisingly, at $N_\mathrm{f}=2$, where fluctuations are no longer suppressed,
the model still behaves similarly to the $N_\mathrm{f}\to\infty$ model and we
conclude that the chiral spiral leaves its footprints even on systems with a
small number of flavors. For example, at low temperature the two-point
functions are still dominated by chiral spirals with pitches proportional to
the inverse chemical potential, although in contrast to large-$N_\mathrm{f}$
their amplitudes decrease with distance. We argue that these results should not
be interpreted as the spontaneous breaking of a continuous symmetry, which is
forbidden in two dimensions. Finally, using Dyson-Schwinger equations we
calculate the decay of the U$_A$(1)-invariant fermion four-point function in
search for a BKT phase at zero temperature.

17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess