Walking technicolor theory attempts to realize electroweak symmetry breaking as the spontaneous chiral symmetry breakdown caused by the gauge dynamics with slowly varying gauge coupling constant and large mass anomalous dimension. Many-flavor QCD is one of the candidates owning these features. We focus on the SU(3) gauge theory with ten flavors of massless fermions in the fundamental representation, and compute the gauge coupling constant in the Schr\"odinger functional scheme. Numerical simulation is performed with O(a)-unimproved lattice action, and the continuum limit is taken in linear in lattice spacing. We observe evidence that this theory possesses an infrared fixed point.
@article{arxiv.1011.2577,
title = {Running coupling constant of ten-flavor QCD with the Schr\"odinger functional method},
author = {M. Hayakawa and K. -I. Ishikawa and Y. Osaki and S. Takeda and S. Uno and N. Yamada},
journal= {arXiv preprint arXiv:1011.2577},
year = {2011}
}
Comments
28 pages, 6 figures. v2) remarks on the continuum limit added, analysis simplified and done with more statistics, conclusion unchanged, version accepted for publication in PRD