PoS - Proceedings of Science
Volume 256 - 34th annual International Symposium on Lattice Field Theory (LATTICE2016) - Poster Session
Perturbative running of the twisted Yang-Mills coupling in the gradient flow scheme
E. Ibanez Bribian,* M. Garcia Perez
*corresponding author
Full text: pdf
Pre-published on: February 23, 2017
Published on: 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.
DOI: https://doi.org/10.22323/1.256.0371
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