### Abstract

We present selected new results on chiral symmetry breaking in nearly conformal gauge theories with fermions in the fundamental representation of the SU(3) color gauge group. We found chiral symmetry breaking (χSB) for all flavors between N_{f} = 4 and N_{f} = 12 with most of the results discussed here for N_{f} = 4, 8, 12 as we approach the conformal window. To identify χSB 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 δ-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(N_{f}) rotator spectrum of the δ-regime are discussed. We also consider these gauge theories at N_{f} = 16 inside the conformal window.

Original language | English |
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Title of host publication | GRIBOV-80 Memorial Volume: Quantum Chromodynamics and Beyond - Proceedings of the Memorial Workshop Devoted to the 80th Birthday of V N Gribov |

Pages | 512-526 |

Number of pages | 15 |

Publication status | Published - 2011 |

Event | Memorial Workshop Devoted to the 80th Birthday of V N Gribov on Quantum Chromodynamics and Beyond - Trieste, Italy Duration: May 26 2010 → May 28 2010 |

### Other

Other | Memorial Workshop Devoted to the 80th Birthday of V N Gribov on Quantum Chromodynamics and Beyond |
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Country | Italy |

City | Trieste |

Period | 5/26/10 → 5/28/10 |

### Fingerprint

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*GRIBOV-80 Memorial Volume: Quantum Chromodynamics and Beyond - Proceedings of the Memorial Workshop Devoted to the 80th Birthday of V N Gribov*(pp. 512-526)

**Nearly conformal gauge theories on the lattice.** / Fodor, Z.; Holland, Kieran; Kuti, Julius; Nógrádi, Dániel; Schroeder, Chris.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*GRIBOV-80 Memorial Volume: Quantum Chromodynamics and Beyond - Proceedings of the Memorial Workshop Devoted to the 80th Birthday of V N Gribov.*pp. 512-526, Memorial Workshop Devoted to the 80th Birthday of V N Gribov on Quantum Chromodynamics and Beyond, Trieste, Italy, 5/26/10.

}

TY - GEN

T1 - Nearly conformal gauge theories on the lattice

AU - Fodor, Z.

AU - Holland, Kieran

AU - Kuti, Julius

AU - Nógrádi, Dániel

AU - Schroeder, Chris

PY - 2011

Y1 - 2011

N2 - We present selected new results on chiral symmetry breaking in nearly conformal gauge theories with fermions in the fundamental representation of the SU(3) color gauge group. We found chiral symmetry breaking (χSB) for all flavors between Nf = 4 and Nf = 12 with most of the results discussed here for Nf = 4, 8, 12 as we approach the conformal window. To identify χSB 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 δ-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 δ-regime are discussed. We also consider these gauge theories at Nf = 16 inside the conformal window.

AB - We present selected new results on chiral symmetry breaking in nearly conformal gauge theories with fermions in the fundamental representation of the SU(3) color gauge group. We found chiral symmetry breaking (χSB) for all flavors between Nf = 4 and Nf = 12 with most of the results discussed here for Nf = 4, 8, 12 as we approach the conformal window. To identify χSB 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 δ-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 δ-regime are discussed. We also consider these gauge theories at Nf = 16 inside the conformal window.

UR - http://www.scopus.com/inward/record.url?scp=84885930651&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84885930651&partnerID=8YFLogxK

M3 - Conference contribution

SN - 9814350184

SN - 9789814350181

SP - 512

EP - 526

BT - GRIBOV-80 Memorial Volume: Quantum Chromodynamics and Beyond - Proceedings of the Memorial Workshop Devoted to the 80th Birthday of V N Gribov

ER -