### Abstract

We present new results on chiral symmetry breaking in nearly conformal gauge theories with fermions in the fundamental representation of the SU(3) color gauge group. The number of fermion flavors is varied in an extended range below the conformal window with chiral symmetry breaking (cSB) for all flavors between Nf = 4 and Nf = 12. To identify cSB we apply several methods which include, within the framework of chiral perturbation theory, the analysis of the Goldstone spectrum in the p-regime and the spectrum of the fermion Dirac operator with eigenvalue distributions of random matrix theory in the e-regime. Chiral condensate enhancement is observed with increasing Nf when the electroweak symmetry breaking scale F is held fixed in technicolor language. Important finite-volume consistency checks from the theoretical understanding of the SU(Nf ) rotator spectrum of the d-regime are discussed. We also consider these gauge theories at Nf = 16 inside the conformal window. The importance of understanding finite volume, zero momentum gauge field dynamics inside the conformal window is pointed out. Staggered lattice fermions with supressed taste breaking are used throughout the simulations.

Original language | English |
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Journal | Proceedings of Science |

Volume | 91 |

Publication status | Published - Jan 1 2009 |

Event | 27th International Symposium on Lattice Field Theory, LAT 2009 - Beijing, China Duration: Jul 26 2009 → Jul 31 2009 |

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### ASJC Scopus subject areas

- General

### Cite this

*Proceedings of Science*,

*91*.

**Chiral symmetry breaking in nearly conformal gauge theories.** / Fodor, Z.; Holland, Kieran; Kuti, Julius; Nógrádi, Dániel; Schroeder, Chris.

Research output: Contribution to journal › Conference article

*Proceedings of Science*, vol. 91.

}

TY - JOUR

T1 - Chiral symmetry breaking in nearly conformal gauge theories

AU - Fodor, Z.

AU - Holland, Kieran

AU - Kuti, Julius

AU - Nógrádi, Dániel

AU - Schroeder, Chris

PY - 2009/1/1

Y1 - 2009/1/1

N2 - We present new results on chiral symmetry breaking in nearly conformal gauge theories with fermions in the fundamental representation of the SU(3) color gauge group. The number of fermion flavors is varied in an extended range below the conformal window with chiral symmetry breaking (cSB) for all flavors between Nf = 4 and Nf = 12. To identify cSB we apply several methods which include, within the framework of chiral perturbation theory, the analysis of the Goldstone spectrum in the p-regime and the spectrum of the fermion Dirac operator with eigenvalue distributions of random matrix theory in the e-regime. Chiral condensate enhancement is observed with increasing Nf when the electroweak symmetry breaking scale F is held fixed in technicolor language. Important finite-volume consistency checks from the theoretical understanding of the SU(Nf ) rotator spectrum of the d-regime are discussed. We also consider these gauge theories at Nf = 16 inside the conformal window. The importance of understanding finite volume, zero momentum gauge field dynamics inside the conformal window is pointed out. Staggered lattice fermions with supressed taste breaking are used throughout the simulations.

AB - We present new results on chiral symmetry breaking in nearly conformal gauge theories with fermions in the fundamental representation of the SU(3) color gauge group. The number of fermion flavors is varied in an extended range below the conformal window with chiral symmetry breaking (cSB) for all flavors between Nf = 4 and Nf = 12. To identify cSB we apply several methods which include, within the framework of chiral perturbation theory, the analysis of the Goldstone spectrum in the p-regime and the spectrum of the fermion Dirac operator with eigenvalue distributions of random matrix theory in the e-regime. Chiral condensate enhancement is observed with increasing Nf when the electroweak symmetry breaking scale F is held fixed in technicolor language. Important finite-volume consistency checks from the theoretical understanding of the SU(Nf ) rotator spectrum of the d-regime are discussed. We also consider these gauge theories at Nf = 16 inside the conformal window. The importance of understanding finite volume, zero momentum gauge field dynamics inside the conformal window is pointed out. Staggered lattice fermions with supressed taste breaking are used throughout the simulations.

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M3 - Conference article

VL - 91

JO - Proceedings of Science

JF - Proceedings of Science

SN - 1824-8039

ER -