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Large N flavor beta-functions: a recap
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abstract
$\beta$-functions for abelian and non-abelian gauge theories are studied in the regime where the large $N$ flavor expansion is applicable. The first nontrivial order in the 1/$N$ expansion is known for any value of $N\alpha$, and there are also various indications as to the nature of higher order effects. The singularity structure as a function of $N\alpha$ has implications for the existence of nontrivial fixed points.
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Probing Large $N_f$ Through Schemes
At most one renormalization scheme can keep the leading term of the large-Nf beta function dominant, so truncated large-Nf predictions of ultraviolet fixed points are not scheme-robust.
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