  The use of artificial gauge fields enables systems of uncharged particles to
behave as if affected by external fields. Generated by geometry or external
modulation, artificial gauge fields have been instrumental in demonstrating
topological phenomena in many physical systems, including photonics, cold atoms
and acoustic waves. Here, we demonstrate experimentally for the first time
waveguiding by means of artificial gauge fields. To this end, we construct
artificial gauge fields in a photonic waveguide array, by using waveguides with
nontrivial trajectories. First, we show that tilting the waveguide arrays gives
rise to gauge fields that are different in the core and the cladding, shifting
their respective dispersion curves, and in turn confining the light to the
core. In a more advanced setting, we demonstrate waveguiding in a medium with
the same artificial gauge field and the same dispersion everywhere, but with a
phase-shift in the gauge as the only difference between the core and the
cladding. The phase-shifted sinusoidal trajectories of the waveguides give rise
to waveguiding via bound states in the continuum. Creating waveguiding and
bound states in the continuum by means of artificial gauge fields is relevant
to a wide range of physical systems, ranging from photonics and microwaves to
cold atoms and acoustics.
