We show that the time-continuous Hamiltonian of the two-dimensional Ashkin-Teller model is that of a massive Thirring model. This implies the existence of an infinite number of conservation laws in the critical region and enables us to determine the critical exponents of the energy, crossover, and polarization operators.

Physical review. B, Condensed matterJan 1, 198220 citations

Inverse scattering approach for massive Thirring models with integrable type-II defects

Alexis Roa Aguirre

We discuss the integrability of the Bosonic and Grassmannian massive Thirring models in the presence of defects through the inverse scattering approach. We present a general method to compute the generating functions of modified conserved quantities for any integrable field equation associated to the m x m spectral linear problem. We apply the method to derive in particular the defect contributions for the number of occupation, energy and momentum of the massive Thirring models.

arXiv:1111.5249Journal of Physics A Mathematical and TheoreticalMay 1, 201213 citations