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.
Volume 334 -
The 36th Annual International Symposium on Lattice Field Theory (LATTICE2018) -
Theoretical Developments
The perturbative SU(N) one-loop running coupling in the twisted gradient flow scheme
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Published on:
May 29, 2019
Abstract
DOI: https://doi.org/10.22323/1.334.0246
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Copyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.