Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-Wilsonian ultraviolet completion via transseries   We study some of the implications for the perturbative renormalization
program when augmented with the Borel-Ecalle resummation. We show the emergence
of a new kind of non-perturbative fixed point for the scalar $\phi^4$ model,
representing an ultraviolet self-completion by transseries. We argue that this
completion is purely non-Wilsonian and it depends on one arbitrary constant
stemming from the transseries solution of the renormalization group equation.
On the other hand, if no fixed points are demanded through the adjustment of
this arbitrary constant, we end up with an effective theory in which the scalar
mass is quadratically-sensitive to the cut-off, even working in dimensional
regularization. Complete decoupling of the scalar mass to this energy scale can
be used to determine a physical prescription for the Borel-Laplace resummation
of the renormalons in non-asymptotically free models. We also comment on
possible orthogonal scenarios available in the literature that might play a
role when no fixed points exist.

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The categories of this paper are: ao-sci
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The categories of this paper are: nlin
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: astro-ph
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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-ex
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The categories of this paper are: cs
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int