TY - JOUR
T1 - Chiral symmetry breaking in fundamental and sextet fermion representations of SU(3) color
AU - Fodor, Zoltán
AU - Holland, Kieran
AU - Kuti, Julius
AU - Nógrádi, Dániel
AU - Schroeder, Chris
N1 - Funding Information:
The simulations were performed using computational resources at Fermilab and JLab, under the auspices of USQCD and SciDAC, from the Teragrid structure and at Wuppertal. We are grateful to Kalman Szabo and Sandor Katz for their code development. 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. D. N. would like to thank the Aspen Center for Physics for invitation to the 2010 BSM summer program.
Publisher Copyright:
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PY - 2010
Y1 - 2010
N2 - We report new results for lattice gauge theories with twelve fermion flavors in the fundamental representation and two fermion flavors in the two-index symmetric (sextet) representation of the SU(3) color gauge group. Both models are important in searching for a viable composite Higgs mechanism in the Beyond the Standard Model (BSM) paradigm. We subject both models to opposite hypotheses inside and outside of the conformal window. In the first hypothesis we test chiral symmetry breaking (χSB) with its Goldstone spectrum, Fπ, the χSB condensate, and several composite hadron states as the fermion mass is varied in a limited range with our best effort to control finite volume effects. Supporting results for χSB from the running coupling based on the force between static sources is also presented. In the second test for the alternate hypothesis we probe conformal behavior driven by a single anomalous mass dimension under the assumption of unbroken chiral symmetry. Our results show very low level of confidence in the conformal scenario.
AB - We report new results for lattice gauge theories with twelve fermion flavors in the fundamental representation and two fermion flavors in the two-index symmetric (sextet) representation of the SU(3) color gauge group. Both models are important in searching for a viable composite Higgs mechanism in the Beyond the Standard Model (BSM) paradigm. We subject both models to opposite hypotheses inside and outside of the conformal window. In the first hypothesis we test chiral symmetry breaking (χSB) with its Goldstone spectrum, Fπ, the χSB condensate, and several composite hadron states as the fermion mass is varied in a limited range with our best effort to control finite volume effects. Supporting results for χSB from the running coupling based on the force between static sources is also presented. In the second test for the alternate hypothesis we probe conformal behavior driven by a single anomalous mass dimension under the assumption of unbroken chiral symmetry. Our results show very low level of confidence in the conformal scenario.
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M3 - Conference article
AN - SCOPUS:85055325025
SN - 1824-8039
VL - 105
JO - Proceedings of Science
JF - Proceedings of Science
T2 - 28th International Symposium on Lattice Field Theory, Lattice 2010
Y2 - 14 June 2010 through 19 June 2010
ER -