/ 94 11 01 1 v 1 2 N ov 1 99 4 Lattice electrons in constant magnetic field : Bethe like ansatz

ar X iv : h ep - t h / 96 11 00 5 v 1 1 N ov 1 99 6 SU ( N ) Matrix Difference Equations and a Nested Bethe Ansatz

A system of SU(N)-matrix difference equations is solved by means of a nested version of a generalized Bethe Ansatz, also called ”off shell” Bethe Ansatz [1]. The highest weight property of the solutions is proved.

ar X iv : h ep - t h / 94 10 11 8 v 2 2 2 N ov 1 99 4 WILSON LOOPS , qq̄ and 3 q POTENTIALS , BETHE – SALPETER EQUATION

/ 96 11 00 6 v 1 1 N ov 1 99 6 U ( N ) Matrix Difference Equations and a Nested Bethe Ansatz

A system of U(N)-matrix difference equations is solved by means of a nested version of a generalized Bethe Ansatz. The highest weight property of the solutions is proved and some examples of solutions are calculated explicitly.

1 4 N ov 1 99 6 3 - Dimensional MULTI - LAYERED 6 - VERTEX STATISTICAL MODEL : EXACT SOLUTION

Solvable via Bethe Ansatz (BA) anisotropic statistical model on cubic lattice consisting of locally interacting 6-vertex planes, is studied. Symmetries of BA lead to infinite hierarchy of possible phases, which is further restricted by numerical simulations. The model is solved for arbitrary value of the interlayer coupling constant. Resulting is the phase diagram in general 3-parameter space. ...

ar X iv : h ep - t h / 92 11 12 4 v 1 2 6 N ov 1 99 2 Chiral Symmetry Breaking with the Curtis - Pennington Vertex

We study chiral symmetry breaking in quenched QED 4 , using a vertex Ansatz recently proposed by Curtis and Pennington. Bifurcation analysis is employed to establish the existence of a critical coupling and to estimate its value. The main results are in qualitative agreement with the ladder approximation, the numerical changes being minor.