Nearly conformal gauge theories on the lattice

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

Research output: Contribution to journalArticle

4 Citations (Scopus)

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 -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. Our work on the running coupling is presented separately.1

Original languageEnglish
Pages (from-to)5162-5174
Number of pages13
JournalInternational Journal of Modern Physics A
Volume25
Issue number27-28
DOIs
Publication statusPublished - Nov 10 2010

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gauge theory
broken symmetry
fermions
matrix theory
condensates
eigenvalues
perturbation theory
color
operators
augmentation

Keywords

  • Beyond Standard Model
  • lattice
  • near-conformal
  • running coupling

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Astronomy and Astrophysics
  • Nuclear and High Energy Physics

Cite this

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

In: International Journal of Modern Physics A, Vol. 25, No. 27-28, 10.11.2010, p. 5162-5174.

Research output: Contribution to journalArticle

Fodor, Z, Holland, K, Kuti, J, NÓgrÁdi, D & Schroeder, C 2010, 'Nearly conformal gauge theories on the lattice', International Journal of Modern Physics A, vol. 25, no. 27-28, pp. 5162-5174. https://doi.org/10.1142/S0217751X10050937
Fodor, Z. ; Holland, Kieran ; Kuti, Julius ; NÓgrÁdi, Dániel ; Schroeder, Chris. / Nearly conformal gauge theories on the lattice. In: International Journal of Modern Physics A. 2010 ; Vol. 25, No. 27-28. pp. 5162-5174.
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