Titlebook: Geometry and Quantum Physics; Proceedings of the 3 H. Gausterer,L. Pittner,Harald Grosse Conference proceedings 2000 Springer-Verlag Berlin

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Anyonic Solutions to the Thirring Model,re are fermionic solutions only if the coupling constant is ., otherwise solutions are anyons. Different anyons (which are uncountably many) live in orthogonal spaces, so the whole Hilbert space becomes non-separable and in each of its sectors a different Heisenberg’s “Ungleichung” holds. This featu

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Twisting of Quantum Differentials,ves rise to a new Hopf algebra . . (the twist of .) with the same unit, counit and coproduct, but modified product. We show that a bicovariant bimodule . over . can be made a bicovariant bimodule over . . by equipping it with the same coactions but modified actions. The new (twisted) left action is

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https://doi.org/10.1007/978-3-322-99590-2es labeled by intertwining operators. In a ‘spin foam model’ we describe states as linear combina- tions of spin networks and compute transition amplitudes as sums over spin foams. This paper aims to provide a self-contained introduction to spin foam models of quantum gravity and a simpler field theory called . theory.

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