We analyze the spectrum and properties of a highly deconstructed Higgsless model with only three sites. Such a model contains sufficient complexity to incorporate interesting physics issues related to fermion masses and electroweak observables, yet remains simple enough that it could be encoded in a Matrix Element Generator program for use with Monte Carlo simulations. The gauge sector of this model is equivalent to that of the Breaking Electroweak Symmetry Strongly (BESS) model; the new physics of interest here lies in the fermion sector. We analyze the form of the fermion Yukawa couplings required to produce the ideal fermion delocalization that causes tree-level precision electroweak corrections to vanish. We discuss the size of one-loop corrections to b ! s, the weak-isospin violating parameter T and the decay Z ! b b. We find that the new fermiophobic vector states (the analogs of the gauge-boson KaluzaKlein modes in a continuum model) can be reasonably light, with a mass as low as 380 GeV, while the extra (approximately vectorial) quark and lepton states (the analogs of the fermion Kaluza-Klein modes) must be heavier than 1.8 TeV.

In this note we examine the properties of deconstructed Higgsless models for the case of a fermion whose SU (2) properties arise from delocalization over many sites of the deconstructed lattice. We derive expressions for the correlation functions and use these to establish a generalized consistency relation among correlation functions. We discuss the form of the W boson wavefunction and show that if the probability distribution of the delocalized fermions is appropriately related to the W wavefunction, then deviations in precision electroweak parameters are minimized. In particular, we show that this "ideal fermion delocalization" results in the vanishing of three of the four leading zero-momentum electroweak parameters defined by Barbieri, et. al. We then discuss ideal fermion delocalization in the context of two continuum Higgsless models, one in Anti-deSitter space and one in flat space. Our results may be applied to any Higgsless linear moose model with multiple SU (2) groups, including those with only a few extra vector bosons.

We investigate chiral and conformal properties of the lattice QCD with eight flavors (N f = 8) through meson spectrum using the Highly Improved Staggered Quark (HISQ) action. We also compare our results with those of N f = 12 and N f = 4 which we study on the same systematics. We find that the decay constant Fπ of the pseudoscalar meson "pion" π is non-zero, with its mass Mπ consistent with zero, both in the chiral limit extrapolation of the chiral perturbation theory (ChPT). We also measure other quantities which we find are in accord with the π data results: The ρ meson mass is consistent with non-zero in the chiral limit, and so is the chiral condensate, with its value neatly coinciding with that from the Gell-Mann-Oakes-Renner relation in the chiral limit. Thus our data for the N f = 8 QCD are consistent with the spontaneously broken chiral symmetry. Remarkably enough, while the N f = 8 data near the chiral limit are well described by the ChPT, those for the relatively large fermion bare mass m f away from the chiral limit actually exhibit a finite-size hyperscaling relation, suggesting a large anomalous dimension γm ∼ 1. This implies that there exists a remnant of the infrared conformality, and suggests that a typical technicolor ("onefamily model") as modeled by the N f = 8 QCD can be a walking technicolor theory having an approximate scale invariance with large anomalous dimension γm ∼ 1.2