Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Numerical Evidence Invalidating Finite-Temperature Many-Body
  Perturbation Theory   Low-order perturbation corrections to the electronic grand potential,
internal energy, chemical potential, and entropy of a gas of noninteracting,
identical molecules at a nonzero temperature are determined numerically as the
$\lambda$-derivatives of the respective quantity calculated exactly (by thermal
full configuration interaction) with a perturbation-scaled Hamiltonian,
$\hat{H}_0 + \lambda\hat{V}$. The data thus obtained from the core definition
of any perturbation theory serve as a benchmark against which analytical
formulas can be validated. The first- and second-order corrections from
finite-temperature many-body perturbation theory disagree with these benchmark
data. This is because the theory neglects the variation of chemical potential
with $\lambda$, thereby failing to converge at the exact, full-interaction
($\lambda=1$) limit, unless the exact chemical potential is known in advance.
The renormalized finite-temperature perturbation theory [S. Hirata and X. He,
J. Chem. Phys., 138, 204112 (2013)] is also found to be incorrect.

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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: cs
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The categories of this paper are: math
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The categories of this paper are: astro-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th