Chiral symmetry breaking in nearly conformal gauge theories

Zoltán Fodor, Kieran Holland, Julius Kuti, Dániel Nógrádi, Chris Schroeder

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3 Scopus citations

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 languageEnglish (US)
JournalProceedings of Science
Volume91
StatePublished - 2009
Event27th International Symposium on Lattice Field Theory, LAT 2009 - Beijing, China
Duration: Jul 26 2009Jul 31 2009

All Science Journal Classification (ASJC) codes

  • General

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