Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2009-11-12
PoS LAT2009:055,2009
Physics
High Energy Physics
High Energy Physics - Lattice
21 pages, 9 figures. Presented at the XXVII International Symposium on Lattice Field Theory, July 26-31, 2009, Peking Universi
Scientific paper
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 ($\chi{\rm SB}$) for all flavors between $N_f=4$ and $N_f=12$. To identify $\chi{\rm SB}$ 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 $\eps$-regime. Chiral condensate enhancement is observed with increasing $N_f$ 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 $\delta$-regime are discussed. We also consider these gauge theories at $N_f=16$ 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.
Fodor Zoltan
Holland Kieran
Kuti Julius
Nogradi Daniel
Schroeder Chris
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