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arXiv · 1810.12822

The perturbative SU(N) one-loop running coupling in the twisted gradient flow scheme

Eduardo I. Bribian·Margarita Garcia Perez
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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 $\bar{MS}$ scheme in the case of a two-dimensional non-trivial twist. The ratio of $\Lambda$ 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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Eduardo I. Bribian, Margarita Garcia Perez. 2018-10-30. The perturbative SU(N) one-loop running coupling in the twisted gradient flow scheme. https://arxiv.org/abs/1810.12822

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