Pions from higher-dimensional gluons: general realizations and stringy models
arxiv(2024)
摘要
In this paper we revisit the general phenomenon that scattering amplitudes of
pions can be obtained from "dimensional reduction" of gluons in higher
dimensions in a more general context. We show that such "dimensional reduction"
operations universally turn gluons into pions regardless of details of
interactions: under such operations any amplitude that is gauge invariant and
contains only local simple poles becomes one that satisfies Adler zero in the
soft limit. As two such examples, we show that starting from gluon amplitudes
in both superstring and bosonic string theories, the operations produce
"stringy" completion of pion scattering amplitudes to all orders in α',
with leading order given by non-linear sigma model amplitudes. Via
Kawai-Lewellen-Tye relations, they give closed-stringy completion for
Born-Infeld theory and the special Galileon theory, which are directly related
to gravity amplitudes in closed-string theories. We also discuss how they
naturally produce stringy models for mixed amplitudes of pions and colored
scalars.
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