Nearly conformal gauge theories on the lattice

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

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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 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.

Original languageEnglish
Title of host publicationGRIBOV-80 Memorial Volume
Subtitle of host publicationQuantum Chromodynamics and Beyond - Proceedings of the Memorial Workshop Devoted to the 80th Birthday of V N Gribov
PublisherWorld Scientific Publishing Co. Pte Ltd
Pages512-526
Number of pages15
ISBN (Print)9814350184, 9789814350181
DOIs
Publication statusPublished - Jan 1 2011
EventMemorial Workshop Devoted to the 80th Birthday of V N Gribov on Quantum Chromodynamics and Beyond - Trieste, Italy
Duration: May 26 2010May 28 2010

Publication series

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

Other

OtherMemorial Workshop Devoted to the 80th Birthday of V N Gribov on Quantum Chromodynamics and Beyond
CountryItaly
CityTrieste
Period5/26/105/28/10

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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  • Cite this

    Fodor, Z., Holland, K., Kuti, J., Nógrádi, D., & Schroeder, C. (2011). Nearly conformal gauge theories on the lattice. In 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). (GRIBOV-80 Memorial Volume: Quantum Chromodynamics and Beyond - Proceedings of the Memorial Workshop Devoted to the 80th Birthday of V N Gribov). World Scientific Publishing Co. Pte Ltd. https://doi.org/10.1142/9789814350198_0046