TY - JOUR

T1 - Twelve fundamental and two sextet fermion flavors

AU - Fodor, Zoltán

AU - Holland, Kieran

AU - Kuti, Julius

AU - Nógrádi, Dániel

AU - Schroeder, Chris

AU - Wong, Chik Him

N1 - Funding Information:
We are grateful to Kalman Szabo and Sandor Katz for their code development and to Anna Hasenfratz for discussions. The simulations were performed using computational resources at Fermilab and JLab, under the auspices of USQCD and SciDAC. This research is supported by the NSF under grants 0704171 and 0970137, by the DOE under grants DOE-FG03-97ER40546, DOE-FG-02-97ER25308, by the DFG under grant FO 502/1 and by SFB-TR/55, and the EU Framework Programme 7 grant (FP7/2007-2013)/ERC No 208740. Some of the simulations used allocations from the Extreme Science and Engineering Discovery Environment (XSEDE), which is supported by National Science Foundation grant number OCI-1053575.

PY - 2011

Y1 - 2011

N2 - We report extended simulation results and their new analysis in two important gauge theories with twelve fermion flavors in the fundamental SU(3) color representation and two fermions in the sextet representation. We probe the Nf = 12 model with respect to the conformal window using mass deformed finite size scaling (FSS) theory driven by the fermion mass anomalous dimension. Our results at fixed gauge coupling show problems with the conformal scenario of the Nf = 12 model. In the sextet model with two flavors, under the conformal hypothesis, we determine large values for the anomalous fermion mass dimension with γ ≥ 1. Since our sextet analysis favors the chiral symmetry breaking hypothesis without conformality, the large exponent γ could play an important role in understanding the composite Higgs mechanism. The new results discussed here include our extended data sets and exceed what was presented at the conference.

AB - We report extended simulation results and their new analysis in two important gauge theories with twelve fermion flavors in the fundamental SU(3) color representation and two fermions in the sextet representation. We probe the Nf = 12 model with respect to the conformal window using mass deformed finite size scaling (FSS) theory driven by the fermion mass anomalous dimension. Our results at fixed gauge coupling show problems with the conformal scenario of the Nf = 12 model. In the sextet model with two flavors, under the conformal hypothesis, we determine large values for the anomalous fermion mass dimension with γ ≥ 1. Since our sextet analysis favors the chiral symmetry breaking hypothesis without conformality, the large exponent γ could play an important role in understanding the composite Higgs mechanism. The new results discussed here include our extended data sets and exceed what was presented at the conference.

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M3 - Conference article

AN - SCOPUS:85053351761

SN - 1824-8039

VL - 139

JO - Proceedings of Science

JF - Proceedings of Science

T2 - 29th International Symposium on Lattice Field Theory, Lattice 2011

Y2 - 10 July 2011 through 16 July 2011

ER -