A unified electroweak theory is formulated using non-local field theory without including a Higgs particle. The W and Z gauge boson masses are induced from one-loop vacuum polarization graphs and the non-local weak scale is determined by the W boson mass and the Fermi constant to be Λw=424 GeV . The tree graphs for the gauge bosons are identical to those of the standard local electroweak theory, so any violation of locality occurs only at the quantum level for the finite loop graphs. The fermion masses are obtained from a four-Fermi interaction with a spontaneously broken vacuum based on the fermion condensate [Formula: see text]. The problem of severe fine tuning for the quark condensates in the standard local point field theory is avoided in our non-local field theory. The theory contains only the known particle spectrum of leptons, quarks, the anticipated top quark, the W and Z gauge bosons and the photon. The quark condensates could generate a spectrum of heavy vector bound states at an energy scale ~1−2 TeV .
Incompressible turbulence as non-local field theory
