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Do anyons solve Heisenberg's Urgleichung in one dimension

  • Theoretical physics
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Abstract.

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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Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Wien, Boltzmanngasse 5, A-1090 Wien , , , , , , AT

    N. Ilieva & W. Thirring

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  1. N. Ilieva
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  2. W. Thirring
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Received: 18 May 1998 / Published online: 22 October 1998

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Ilieva, N., Thirring, W. Do anyons solve Heisenberg's Urgleichung in one dimension. Eur. Phys. J. C 6, 705–714 (1999). https://doi.org/10.1007/s100529800942

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  • DOI: https://doi.org/10.1007/s100529800942

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