Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Low-temperature breakdown of many-body perturbation theory for
  thermodynamics   It is shown analytically and numerically that the finite-temperature
many-body perturbation theory in the grand canonical ensemble has zero radius
of convergence at zero temperature when the energy ordering or degree of
degeneracy for the ground state changes with the perturbation strength. When
the degeneracy of the reference state is partially or fully lifted at the
first-order Hirschfelder-Certain degenerate perturbation theory, the grand
potential and internal energy diverge as $T \to 0$. Contrary to earlier
suggestions of renormalizability by the chemical potential $\mu$, this
nonconvergence, first suspected by W. Kohn and J. M. Luttinger, is caused by
the nonanalytic nature of the Boltzmann factor $e^{-E/k_\text{B}T}$ at $T=0$,
also plaguing the canonical ensemble, which does not involve $\mu$. The finding
reveals a fundamental flaw in perturbation theory, which is deeply rooted in
the mathematical limitation of power-series expansions and is unlikely to be
removed within its framework.

23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex