2021 Impact factor 4.991
Particles and Fields
Eur. Phys. J. C 6, 705-714
DOI 10.1007/s100529800942

Do anyons solve Heisenberg's Urgleichung in one dimension

N. Ilieva1,2,3 - W. Thirring1,4

1 Institut für Theoretische Physik, Universität Wien, Boltzmanngasse 5, A-1090 Wien
2 Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Boul.Tzarigradsko Chaussee 72, 1784 Sofia, Bulgaria
E-mail address: ilieva@pap.univie.ac.at
Erwin Schrödinger International Institute for Mathematical Physics

Received: 18 May 1998 / Published online: 22 October 1998

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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