Abstract
We study combined matter/gauge field gauge invariant states in terms of data living on the boundary of gauge invariant path-integrals. To get concrete results, this is done for scalar and spinor QED, for both ‘time-slice’, and ‘causal diamond’ boundaries. We discuss both the standard case where the gauge field falls off to zero at the spatial boundaries, and the case of ‘large gauge transformations’, where it remains finite at these boundaries. The path-integral naturally generates a specific dressing factor for states living on time-slices, without fixing any gauge, and we identify a universal contribution which depends only on the nature of the boundaries. We also derive the analogous dressing for states defined on null infinity, showing both its Coulombic parts as well as soft-photon parts.
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