The running coupling of 8 flavors and 3 colors

Fodor, Zoltán and Holland, K. and Kuti, J. and Mondal, Santanu and Nógrádi, Dániel (2015) The running coupling of 8 flavors and 3 colors. JOURNAL OF HIGH ENERGY PHYSICS, 2015 (6). ISSN 1126-6708

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Abstract

We compute the renormalized running coupling of SU (3) gauge theory cou- pled to Nf = 8 flavors of massless fundamental Dirac fermions. The recently proposed finite volume gradient flow scheme is used. The calculations are performed at several lattice spacings allowing for a controlled continuum extrapolation. The results for the dis- crete β-function show that it is monotonic without any sign of a fixed point in the range of couplings we cover. As a cross check the continuum results are compared with the well- known perturbative continuum β-function for small values of the renormalized coupling and perfect agreement is found.

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