This is the unique model of (1+1)-dimensional, Dirac fermions with a local (self-)interaction.
The massless Thirring model is exactly solvable in the sense that a formula for the
After it was introduced by Walter Thirring,[1] many authors tried to solve the massless case, with confusing outcomes.
The correct formula for the two and four point correlation was finally found by K. Johnson;[2] then C. R. Hagen [3] and B. Klaiber [4] extended the explicit solution to any multipoint correlation function of the fields.
The mass spectrum of the model and the scattering matrix was explicitly evaluated by Bethe ansatz.
J. I. Cirac, P. Maraner and J. K. Pachos applied the massive Thirring model to the description of optical lattices.
This helps one calculate exactly the mass spectrum and scattering matrix.
Calculation of the scattering matrix reproduces the results published earlier by Alexander Zamolodchikov.
The paper with the exact solution of Massive Thirring model by Bethe ansatz was first published in Russian.
The fractional charge appears in the model during renormalization as a repulsion beyond the cutoff.