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We present a histories version of the connection formalism of generalrelativity. Such an approach introduces a spacetime description--acharacteristic feature of the histories approach--and we discuss the extent towhich the usual loop variables are compatible with a spacetime description. Inparticular, we discuss the definability of the Barbero connection without anygauge fixing. Although it is not the pullback of a spacetime connection ontothe three-surface and it does not have a natural spacetime interpretation, thisdoes not mean that the Barbero connection is not suitable variable forquantisation; it appears naturally in the formalism even in absence of gaugefixing. It may be employed therefore, to define loop variables similar to thoseemployed in loop quantum gravity. However, the loop algebra would have to beaugmented by the introduction of additional variables.

The Barbero connection and its relation to the histories connection formalism without gauge fixing