  While the longitudinal field that dominates photospheric network regions has
been studied extensively, small scale transverse fields have recently been
found to be ubiquitous in the quiet internetwork photosphere. Few observations
have captured how this field evolves. We aim to statistically characterise the
magnetic properties and observe the temporal evolution of small scale magnetic
features. We present two high spatial/temporal resolution observations that
reveal the dynamics of two disk centre internetwork regions taken by the new
GRIS/IFU (GREGOR Infrared Spectrograph Integral Field Unit) with the highly
magnetically sensitive Fe I line pair at 15648.52 {\AA} and 15652.87 {\AA}.
With the SIR code, we consider two inversion schemes: scheme 1 (S1), where a
magnetic atmosphere is embedded in a field free medium, and scheme 2 (S2), with
two magnetic models and a fixed stray light component. S1 inversions returned a
median magnetic field strength of 200 and 240 G for the two datasets,
respectively. We consider the median transverse (horizontal) component, among
pixels with Stokes Q or U, and the median unsigned longitudinal (vertical)
component, among pixels with Stokes V, above a noise threshold. We determined
the former to be 263 G and 267 G, and the latter to be 131 G and 145 G, for the
two datasets, respectively. We present three regions of interest (ROIs),
tracking the dynamics of small scale magnetic features. We apply S1 and S2
inversions to specific profiles, and find S2 produces better approximations
when there is evidence of mixed polarities. We find patches of linear
polarization with magnetic flux density between 130 and 150 G, appearing
preferentially at granule/intergranular lane (IGL) boundaries. The weak hG
magnetic field appears to be organised in terms of complex loop structures,
with transverse fields often flanked by opposite polarity longitudinal fields.
