Speaker
Philippe de Forcrand
(ETH Zurich)
Description
We study the Hosotani mechanism on the lattice and show with the use of
gauge invariant observables that SU(3) can break either to SU(2)xU(1) or
U(1)xU(1). The novelty in this study is the strict gauge invariance of
the observables used.
We take advantage of the inability of a U(1) flux to decay in the continuum
limit. One interesting consequence is that the SU(2) and U(1) subgroups
rotate locally in representations space but the introduced flux always
follows the U(1) subgroup. We also investigate the stability of U(1)
monopoles when the gauge symmetry is broken.
Primary author
Philippe de Forcrand
(ETH Zurich)
Co-author
Mr
Oscar Akerlund
(ETH Zurich)
