Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fermions and Goldstone bosons in an asymptotically safe model   We consider a model in which Goldstone bosons, described by a SU(N) chiral
nonlinear sigma model, are coupled to an N-plet of colored fermions by means of
a Yukawa interaction. We study the one-loop renormalization group flow and show
that the non-Gaussian UV fixed point, which is present in the purely bosonic
model, is lost because of fermion loop effects unless N is sufficiently large.
We then add four-fermion contact interactions to the lagrangian and show that
in this case there exist several non-Gaussian fixed points. The strength of the
contact interactions, predicted by the requirement that the theory flows
towards a fixed point in the UV, is compared to the current experimental
bounds. This toy model could provide an important building block of an
asymptotically safe model of the weak interactions.

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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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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: hep-lat
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The categories of this paper are: chem-ph
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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: cond-mat
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
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The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: q-bio