#### Non-perturbative Gauge-Higgs Unification

- Event time: 2:00pm
- Event date: 20th November 2013
- Speaker: Francesco Knechtli (Wuppertal)
- Location: Higgs Centre Seminar Room, James Clerk Maxwell Building (JCMB) James Clerk Maxwell Building Peter Guthrie Tait Road Edinburgh EH9 3FD GB

### Event details

Gauge-Higgs Unification models are theories where the Higgs field is identified with some of the extra-dimensional components of the gauge field. One motivation for these models is that the extra-dimensional gauge symmetry protects the Higgs potential from divergences in the ultra-violet cut-off. Perturbative studies indicate that fermions are necessary to trigger the Higgs mechanism. Given the non-renormalizability of gauge theories in dimensions higher than four, we study non-perturbatively the simplest model which is a five-dimensional SU(2) gauge theory on a orbifold. The starting point is the formulation on an anisotropic Euclidean lattice. Results for the phase diagram, the spectrum and dimensional reduction obtained using a semi-analytic mean-field expansion and Monte Carlo simulations will be presented. These results indicate that the Higgs mechanism takes place without fermions and support an alternative view of the lattice orbifold as a five-dimensional bosonic superconductor.

#### Event resources

The Particle Physics Theory seminar is a weekly series of talks reflecting the diverse interests of the group. Topics include analytic and numerical calculations based on the Standard Model of elementary particle physics, theories exploring new physics, as well as more formal developments in gauge theories and gravity..