The perturbative SU(N) one-loop running coupling in the twisted gradient flow scheme
Abstract
We report on our computation of the perturbative running of the 't Hooft coupling in a pure gauge 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 scheme in the case of a two-dimensional non-trivial twist. The ratio of parameters is determined for the case of and for various other values of the number of colours and several choices of the magnetic flux induced by the twist.
Cite
@article{arxiv.1810.12822,
title = {The perturbative SU(N) one-loop running coupling in the twisted gradient flow scheme},
author = {Eduardo I. Bribian and Margarita Garcia Perez},
journal= {arXiv preprint arXiv:1810.12822},
year = {2018}
}
Comments
7 pages, 2 figures, contribution to the 36th International Symposium on Lattice Field Theory, 22-28 July 2018, Michigan State University, East Lansing, USA