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

2018/10/30 by Eduardo I. Bribián, Bribian, Eduardo I., Margarita Garcı́a Pérez +1
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.1810.12822

openalex publication_date 2018/10/30 · openalex created_date 2018/11/09 · openalex updated_date 2026/07/28

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.

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