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We calculate the value of the coupling at the infrared zero of the beta function of an asymptotically free SU(3) gauge theory at the five-loop level as a function of the number of fermions.
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It is straightforward to include fermion mass terms, but if a given fermion has a mass m m , it is integrated out of the effective field theory applicable at scales μ < m \mu<m and does not affect the further evolution to the IR
Cited in the paper.
Here and elsewhere, when an expression is given for N f N_{f} that formally evaluates to a non-integral real value, it is understood implicitly that one infers an appropriate integral value from it
Cited in the paper.
Refs. [ 14 ] - [ 16 ] studied the IR zero in β \beta for general G G and fermion representation R R . Here we restrict to G = SU ( 3 ) G={\rm SU}(3) and R = R= fundamental
Cited in the paper.
2014
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J. A. Gracey and R. M. Simms, Phys. Rev. D 91
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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
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