The continuum approach to the BF vacuum: the U(1) case

Abstract

A quantum representation of holonomies and exponentiated fluxes of a $U(1)$ gauge theory that contains the Pullin-Dittrich-Geiller (DG) vacuum is presented and discussed. Our quantization is performed manifestly in a continuum theory, without any discretization. The discretness emerges on the quantum level as a property of the spectrum of the quantum holonomy operators. The new type of a cylindrical consistency present in the DG approach, now follows easily and naturally. A generalization to the non--Abelian case seems possible.

13 pages

References in corpus (2)

• Flux formulation of loop quantum gravity: Classical framework
• Loop quantum gravity coupled to a scalar field

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