PoS - Proceedings of Science
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
E. Ibanez Bribian,* M. Garcia Perez
*corresponding author
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Published on: May 29, 2019
Abstract
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.
DOI: https://doi.org/10.22323/1.334.0246
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