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arXiv · 1705.09836

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

Patryk Drobiński·Jerzy Lewandowski
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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.

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Patryk Drobiński, Jerzy Lewandowski. 2017-05-27. The continuum approach to the BF vacuum: the U(1) case. https://doi.org/10.1103/physrevd.96.126011

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