Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Solidity without inhomogeneity: Perfectly homogeneous, weakly coupled,
  UV-complete solids   Solid-like behavior at low energies and long distances is usually associated
with the spontaneous breaking of spatial translations at microscopic scales, as
in the case of a lattice of atoms. We exhibit three quantum field theories that
are renormalizable, Poincar\'e invariant, and weakly coupled, and that admit
states that on the one hand are perfectly homogeneous down to arbitrarily short
scales, and on the other hand have the same infrared dynamics as isotropic
solids. All three examples presented here lead to the same peculiar solid at
low energies, featuring very constrained interactions and transverse phonons
that always propagate at the speed of light. In particular, they violate the
well known $c_L^2 > \frac{4}{3} c_T^2$ bound, thus showing that it is possible
to have a healthy renormalizable theory that at low energies exhibits a
negative bulk modulus (we discuss how the associated instabilities are absent
in the presence of suitable boundary conditions). We do not know whether such
peculiarities are unavoidable features of large scale solid-like behavior in
the absence of short scale inhomogeneities, or whether they simply reflect the
limits of our imagination.

11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph