We construct a lattice gauge theory using reduced staggered fermions and gauge fields which provides a nonperturbative realization of a complete technicolor model; one which treats both strong and weakly coupled gauge sectors on an equal footing. We show that the model is capable of developing a Higgs phase at nonzero lattice spacing via the formation of fermion condensates. We show further that while the broken symmetry associated with this phase has a vector character in the lattice theory it is realized as an axial symmetry in the continuum limit in agreement with the Vafa-Witten theorem. We discuss our result in the context of universality.
- dynamical gauge symmetry breaking
- Higgs mechanism
- lattice gauge theory
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics
- Astronomy and Astrophysics
- Nuclear and High Energy Physics