Integrable $$\mathfrak{gl}$$(n|n) Toda Field Theory and Its Sigma-Model Dual

Lie Algebraic Structures in Integrable Models, Affine Toda Field Theory

The ultraviolet Behaviour of Integrable Quantum Field Theories , Affine Toda Field Theory

We investigate the thermodynamic Bethe ansatz (TBA) equations for a system of particles which dynamically interacts via the scattering matrix of affine Toda field theory and whose statistical interaction is of a general Haldane type. Up to the first leading order, we provide general approximated analytical expressions for the solutions of these equations from which we derive general formulae fo...

The ultraviolet Behaviour of Integrable Quantum Field Theories, Affine Toda Field Theory

Affine Toda Field Theory

We present one loop boundary reflection matrix for d (1) 4 Toda field theory defined on a half line with the Neumann boundary condition. This result demonstrates a nontrivial cancellation of non-meromorphic terms which are present when the model has a particle spectrum with more than one mass. Using this result, we determine uniquely the exact boundary reflection matrix which turns out to be ‘n...

Toda field theory

TheR-matrix of the Uq ( d (3) 4 ) algebra is constructed in the 8-dimensional fundamental representation. Using this result, an exact S-matrix is conjectured for the imaginary coupled g (1) 2 affine Toda field theory, the structure of which is found to be very similar to the previously investigated S-matrix of d (3) 4 Toda theory. It is shown that this Smatrix is consistent with the results for...