Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Conjecture on the Minimal Size of Bound States   We conjecture that, in a renormalizable effective quantum field theory where
the heaviest stable particle has mass $m$, there are no bound states with
radius below $1/m$ (Bound State Conjecture). We are motivated by the (scalar)
Weak Gravity Conjecture, which can be read as a statement forbidding certain
bound states. As we discuss, versions for uncharged particles and their
generalizations have shortcomings. This leads us to the suggestion that one
should only constrain rather than exclude bound objects. In the gravitational
case, the resulting conjecture takes the sharp form of forbidding the adiabatic
construction of black holes smaller than $1/m$. But this minimal bound-state
radius remains non-trivial as $M_\text{P}\to \infty$, leading us to suspect a
feature of QFT rather than a quantum gravity constraint. We find support in a
number of examples which we analyze at a parametric level.

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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
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The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: physics
2
The categories of this paper are: math
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga