English

Do anyons solve Heisenberg's Urgleichung in one dimension

High Energy Physics - Theory 2011-09-13 v1 Mathematical Physics math.MP

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 λ=2(2n+1)π,nN\lambda = \sqrt{2(2n + 1)\pi}, n \in \bf N.

Keywords

Cite

@article{arxiv.hep-th/9808103,
  title  = {Do anyons solve Heisenberg's Urgleichung in one dimension},
  author = {N. Ilieva and W. Thirring},
  journal= {arXiv preprint arXiv:hep-th/9808103},
  year   = {2011}
}

Comments

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