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
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 .
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