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We present a scheme-independent calculation of the infrared value of the anomalous dimension of the fermion bilinear, $\gamma_{\bar\psi\psi,IR}$ in an SU(3) gauge theory as a function of the number of fermions, $N_f$, via a series expansion in powers of $\Delta_f$, where $\Delta_f=(16.5-N_f)$, to order $\Delta_f^4$.
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Refs. [ 12 ] - [ 14 ] studied the IR zero in β n ℓ \beta_{n\ell} and resultant γ I R , n ℓ \gamma_{IR,n\ell} for general G G and fermion representation R R
Cited in the paper.
The anomalous dimension γ ψ ¯ ψ \gamma_{\bar{\psi}\psi} is often denoted γ m \gamma_{m} ; we use the more general notation γ ψ ¯ ψ \gamma_{\bar{\psi}\psi} here, since no mass m m is generated in the non-Abelian Coulomb phase
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P. A. Baikov, K. G. Chetyrkin, and J. H. Kühn, arXiv:1606.08659
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See, e.g., talks in the CP3 Workshop at http://cp3-origins.dk/events/meetings/mass2013; Lattice-2014 at https://www.bnl.gov/lattice2014; SCGT15 at http://www.kmi.nagoya-u.ac.jp/workshop/SCGT15; and Lattice-2015 at http://www.aics.riken.jp/sympo/lattice2015. We note that there is not yet a consensus among all lattice groups concerning the value of N f , c r N_{f,cr} for this SU(3) theory
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