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arxiv: hep-th/9808103 · v1 · pith:LKPNNPIInew · submitted 1998-08-17 · ✦ hep-th · math-ph· math.MP

Do anyons solve Heisenberg's Urgleichung in one dimension

classification ✦ hep-th math-phmath.MP
keywords solutionsalgebraicanyonschiralconstantconstructcouplingdimension
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We construct solutions to the chiral Thirring model in the framework of algebraic quantum field theory. We find that for all positive temperatures there are fermionic solutions only if the coupling constant is $\lambda = \sqrt{2(2n + 1)\pi}, n \in \bf N$.

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