Perturbative running of the twisted Yang-Mills coupling in the gradient flow scheme
February 23, 2017
March 24, 2017
We report on our ongoing computation of the perturbative running of the Yang-Mills coupling us-
ing gradient flow techniques. In particular, we use the gradient flow method with twisted boundary
conditions to perform a perturbative expansion of the expectation value of the Yang-Mills energy
density up to fourth order in the coupling at finite flow time. We regularise the resulting integrals
using dimensional regularisation, and reproduce the universal coefficient of the 1/ε term in the
relation between bare and renormalised couplings. The computation of the finite part leading to a
determination of the Λ parameter in this scheme is underway.
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