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• W1832907958 abstract "A relation between the non-perturbative loop representation space and the semi-classical loop representation space is studied. A sector of (approximate) states and a sector of operators in the non-perturbative loop representation space are made related respectively to the physical states and the basic variables of the semi-classical loop representation space through a transformation. This transformation makes a construction of graviton states within the non-perturbative theory possible although the notion of gravitons originally emerged from semi-classical perturbative treatments. This transformation is ``exact'' in the sense that it does not contain an error term, a fact contrast to the previous construction of a similar transformation. This fact allows the interpretation that these graviton states represent free gravitons even after introducing the self-interaction of gravitons into the theory; the presence of an error term of order of possible perturbative self-interaction would spoil this interpretation. The existence of such an ``exact'' relation of the two theories supports the potential ability of the non-perturbative loop representation quantum gravity to address the physics of gravitons, namely quanta for large scale small fluctuations of gravitational field in the flat background spacetime." @default.
• W1832907958 created "2016-06-24" @default.
• W1832907958 creator A5058368821 @default.
• W1832907958 date "1998-07-06" @default.
• W1832907958 modified "2023-09-27" @default.
• W1832907958 title "Basis states for gravitons in non-perturbative loop representation space" @default.
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