Chiral symmetry breaking in fundamental and sextet fermion representations of SU(3) color

Z. Fodor, Kieran Holland, Julius Kuti, Dániel Nógrádi, Chris Schroeder

Research output: Contribution to journalConference article

Abstract

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.

Original languageEnglish
JournalProceedings of Science
Volume105
Publication statusPublished - Jan 1 2010
Event28th International Symposium on Lattice Field Theory, Lattice 2010 - Villasimius, Sardinia, Italy
Duration: Jun 14 2010Jun 19 2010

Fingerprint

broken symmetry
fermions
color
composite materials
condensates
gauge theory
confidence
probes
symmetry

ASJC Scopus subject areas

  • General

Cite this

Chiral symmetry breaking in fundamental and sextet fermion representations of SU(3) color. / Fodor, Z.; Holland, Kieran; Kuti, Julius; Nógrádi, Dániel; Schroeder, Chris.

In: Proceedings of Science, Vol. 105, 01.01.2010.

Research output: Contribution to journalConference article

Fodor, Z. ; Holland, Kieran ; Kuti, Julius ; Nógrádi, Dániel ; Schroeder, Chris. / Chiral symmetry breaking in fundamental and sextet fermion representations of SU(3) color. In: Proceedings of Science. 2010 ; Vol. 105.
@article{4ba04a8bb95e4804b127b431bd6ba801,
title = "Chiral symmetry breaking in fundamental and sextet fermion representations of SU(3) color",
abstract = "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.",
author = "Z. Fodor and Kieran Holland and Julius Kuti and D{\'a}niel N{\'o}gr{\'a}di and Chris Schroeder",
year = "2010",
month = "1",
day = "1",
language = "English",
volume = "105",
journal = "Proceedings of Science",
issn = "1824-8039",
publisher = "Sissa Medialab Srl",

}

TY - JOUR

T1 - Chiral symmetry breaking in fundamental and sextet fermion representations of SU(3) color

AU - Fodor, Z.

AU - Holland, Kieran

AU - Kuti, Julius

AU - Nógrádi, Dániel

AU - Schroeder, Chris

PY - 2010/1/1

Y1 - 2010/1/1

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.

UR - http://www.scopus.com/inward/record.url?scp=85055325025&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85055325025&partnerID=8YFLogxK

M3 - Conference article

VL - 105

JO - Proceedings of Science

JF - Proceedings of Science

SN - 1824-8039

ER -