Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2011-11-17
Physics
High Energy Physics
High Energy Physics - Lattice
22 pages, 12 figures
Scientific paper
We study the evolution of the coupling in SU(2) gauge field theory with $N_f=4$, 6 and 10 fundamental fermion flavours on the lattice. These values are chosen close to the expected edges of the conformal window, where the theory possesses an infrared fixed point. We use improved Wilson-clover action, and measure the coupling in the Schr\"odinger functional scheme. At four flavours we observe that the couping grows towards the infrared, implying QCD-like behaviour, whereas at ten flavours the results are compatible with a Banks-Zaks type infrared fixed point. The six flavour case remains inconclusive: the evolution of the coupling is seen to become slower at the infrared, but the accuracy of the results falls short from fully resolving the fate of the coupling. We also measure the mass anomalous dimension for the $N_f=6$ case.
Karavirta Tuomas
Rantaharju Jarno
Rummukainen Kari
Tuominen Kimmo
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