Do anyons solve Heisenberg's Urgleichung in one dimension

  title={Do anyons solve Heisenberg's Urgleichung in one dimension},
  author={Nevena Ilieva and Walter Thirring},
  journal={The European Physical Journal C - Particles and Fields},
  • N. IlievaW. Thirring
  • Published 17 August 1998
  • Physics
  • The European Physical Journal C - Particles and Fields
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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