Do anyons solve Heisenberg's Urgleichung in one dimension

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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19 pages LaTeX, to appear in Eur. Phys. J. C

Scientific paper

10.1007/s100529800942

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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