Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic nonlocality   We construct a theory of real scalar fields that interpolates between two
different theories: a Lee-Wick theory with $N$ propagator poles, including
$N-1$ Lee-Wick partners, and a nonlocal infinite-derivative theory with kinetic
terms modified by an entire function of derivatives with only one propagator
pole. Since the latter description arises when taking the $N\rightarrow\infty$
limit, we refer to the theory as "asymptotically nonlocal." Introducing an
auxiliary-field formulation of the theory allows one to recover either the
higher-derivative form (for any $N$) or the Lee-Wick form of the Lagrangian,
depending on which auxiliary fields are integrated out. The effective scale
that regulates quadratic divergences in the large-$N$ theory is the would-be
nonlocal scale, which can be hierarchically lower than the mass of the lightest
Lee-Wick resonance. We comment on the possible utility of this construction in
addressing the hierarchy problem.

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The categories of this paper are: nlin
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The categories of this paper are: q-fin
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The categories of this paper are: physics
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The categories of this paper are: q-bio
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The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
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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: supr-con
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The categories of this paper are: ao-sci
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The categories of this paper are: stat
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The categories of this paper are: quant-ph
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas