Lattice Gauge Theory Approach to Spontaneous Symmetry Breaking from an Extra Dimension
arXiv:hep-lat/0609045 · doi:10.1016/j.nuclphysb.2007.01.023
Abstract
We present lattice simulation results corresponding to an SU(2) pure gauge theory defined on the orbifold space E_4 x I_1, where E_4 is the four-dimensional Euclidean space and I_1 is an interval, with the gauge symmetry broken to a U(1) subgroup at the two ends of the interval by appropriate boundary conditions. We demonstrate that the U(1) gauge boson acquires a mass from a Higgs mechanism. The mechanism is driven by two of the extra-dimensional components of the five-dimensional gauge field which play respectively the role of the longitudinal component of the gauge boson and a massive real physical scalar, the Higgs particle. Despite the non-renormalizable nature of the theory, we observe only a mild cut-off dependence of the physical observables. We also show evidence that there is a region in the parameter space where the system behaves in a way consistent with dimensional reduction.
37 pages, 10 figures; references added; accepted for publication in Nucl. Phys. B
Cited by in corpus (5)
- On the generalized eigenvalue method for energies and matrix elements in lattice field theory
- A New Class of Rank Breaking Orbifolds
- New Higgs mechanism from the lattice
- Higgs mechanism in five-dimensional gauge theories
- 5-dimensional SU(2) lattice gauge theory with Z2 orbifolding and its phase structure