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• W2236670268 abstract "We consider an asymptotically free vectorial SU($N_c$) gauge theory with $N_f$ fermions in the fundamental representation and analyze higher-loop contributions to the evolution of the theory from the ultraviolet to the infrared in the limit where $N_c to infty$ and $N_f to infty$ with $r=N_f/N_c$ a fixed, finite constant. We focus on the case where the $n$-loop beta function has an infrared zero, at $xi=xi_{IR,nell}$, where $xi=alpha N_c$. We give results on $xi_{IR,nell}$, the anomalous dimension of the fermion bilinear evaluated at $xi_{IR,nell}$, denoted $gamma_{IR,nell}$, and certain structural properties of the beta function, $beta_xi$. The approach to this limit is investigated, and it is shown that the leading correction terms are strongly suppressed, by the factor $1/N_c^2$. This provides an understanding of a type of approximate universality in calculations for moderate values of $N_c$ and $N_f$, namely that $alpha_{IR,nell}N_c$, $gamma_{IR,nell}$, and structural properties of the beta function are similar in theories with different values of $N_c$ and $N_f$ provided that they have similar values of $N_f/N_c$. We give results up to four loops for nonsupersymmetric theories and up to three loops for supersymmetric theories." @default.
• W2236670268 created "2016-06-24" @default.
• W2236670268 creator A5085941621 @default.
• W2236670268 date "2013-06-20" @default.
• W2236670268 modified "2023-10-03" @default.
• W2236670268 title "Higher-loop calculations of the ultraviolet to infrared evolution of a vectorial gauge theory in the limitNc→∞,Nf→∞withNf/Ncfixed" @default.
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• W2236670268 doi "https://doi.org/10.1103/physrevd.87.116007" @default.
• W2236670268 hasPublicationYear "2013" @default.
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