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Title: Fock representations from U(1) holonomy algebras
Authors: Varadarajan, Madhavan
Issue Date: 15-May-2000
Publisher: The American Physical Society
Citation: Physical Review D, 2000, Vol.61, 104001
Abstract: We examine the quantization of U(1) holonomy algebras using the Abelian C* algebra based techniques which form the mathematical underpinnings of current efforts to construct loop quantum gravity. In particular, we clarify the role of “smeared loops” and of Poincaré invariance in the construction of Fock representations of these algebras. This enables us to critically reexamine early pioneering efforts to construct Fock space representations of linearized gravity and free Maxwell theory from holonomy algebras through an application of the (then current) techniques of loop quantum gravity.
ISSN: 1550-2368 (online)
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Copyright: (2000) by the American Physical Society
Appears in Collections:Research Papers (TP)

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