Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2010-06-10
Phys.Lett.B694:74-79,2010
Physics
High Energy Physics
High Energy Physics - Phenomenology
12 pages, 8 figures, now matches published version
Scientific paper
10.1016/j.physletb.2010.09.037
$\beta$-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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