The Thirring model 40 years later

Details The Thirring model 40 years later The Thirring model 40 years later

1998-08-19

arxiv.org/abs/hep-th/9808118v1

in: Problems of QFT, Eds. B.M. Barbashov, G.V. Efimov, A.V. Efremov (Dubna, 1999, E2-99-35), p.167.

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, LaTeX, Invited talk at the XI International Conference on Problems of QFT (Dubna, Russia, July 1998), to appear in t

Scientific paper

Solutions to the Thirring model are constructed in the framework of algebraic QFT. It is shown that for all positive temperatures there are fermionic solutions only if the coupling constant is $\lambda = \sqrt{2(2n+1)\pi}, n\in \bf N$, otherwise solutions are anyons. Different anyons (which are uncountably many) live in orthogonal spaces, so the whole Hilbert space becomes non-separable and in each of its sectors a different Urgleichung holds. This feature certainly cannot be seen by any power expansion in $\lambda$. Moreover, if the statistic parameter is tied to the coupling constant it is clear that such an expansion is doomed to failure and will never reveal the true structure of the theory. On the basis of the model in question, it is not possible to decide whether fermions or bosons are more fundamental since dressed fermions can be constructed either from bare fermions or directly from the current algebra.

Affiliated with

Also associated with

No associations

Rating

The Thirring model 40 years later does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Thirring model 40 years later, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Thirring model 40 years later will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-610917