The perturbative SU(N) one-loop running coupling in the twisted gradient flow scheme
May 29, 2019
We report on our computation of the perturbative running of the ’t Hooft coupling in a pure gauge SU(N) theory with twisted boundary conditions. The coupling is defined in terms of the energy density of the flow fields at a scale given by a particular combination of the linear size of the torus and the rank of the gauge group. We present our results for the matching at one-loop order to the MS scheme in the case of a two-dimensional non-trivial twist. The ratio of Λ
parameters is determined for the case of SU(3) and for various other values of the number of colours and several choices of the magnetic flux induced by the twist.
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