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• W3100197951 abstract "We show that the space of generalized fluxes - momentum space - for loop quantum gravity cannot be constructed by Fourier transforming the projective limit construction of the space of generalized connections - position space - due to the non-abelianess of the gauge group SU(2). From the abelianization of SU(2), U(1)^3, we learn that the space of generalized fluxes turns out to be an inductive limit, and we determine the consistency conditions the fluxes should satisfy under coarse-graining of the underlying graphs. We comment on the applications to loop quantum cosmology, in particular, how the characterization of the Bohr compactification of the real line as a projective limit opens the way for a similar analysis for LQC." @default.
• W3100197951 created "2020-11-23" @default.
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• W3100197951 date "2013-02-05" @default.
• W3100197951 modified "2023-09-25" @default.
• W3100197951 title "On the space of generalized fluxes for loop quantum gravity" @default.
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• W3100197951 doi "https://doi.org/10.1088/0264-9381/30/5/055008" @default.
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