PoS - Proceedings of Science
Volume 256 - 34th annual International Symposium on Lattice Field Theory (LATTICE2016) - Physics Beyond the Standard Model
Discrete $\beta$-function of the SU(3) gauge theory with 10 massless domain-wall fermions
T.W. Chiu
Full text: pdf
Pre-published on: February 15, 2017
Published on: March 24, 2017
I present the updated results of the discrete $\beta$-function of the $SU(3)$ gauge theory with $N_f=10$ massless optimal domain-wall fermions in the fundamental representation. The renormalized coupling is obtained by the finite-volume gradient flow scheme on $L^4$ lattices, for seven lattice sizes: $L/a=8,10,12,16,20,24,32$; and each with $12$ different lattice spacings parametrized by $6/g^2$. The discrete $\beta$-function is extrapolated to the continuum limit using four lattice pairs $(L,2L)/a=(8,16),(10,20),(12,24) $ and $ (16,32) $. This provides stronger evidence of the infrared fixed point at $g_c^2 \sim 7$, which was first reported in arXiv:1603.08854, based on the continuum extrapolation of the discrete $\beta$-function obtained with three lattice pairs.
DOI: https://doi.org/10.22323/1.256.0228
How to cite

Metadata are provided both in "article" format (very similar to INSPIRE) as this helps creating very compact bibliographies which can be beneficial to authors and readers, and in "proceeding" format which is more detailed and complete.

Open Access
Creative Commons LicenseCopyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.