## Integrable models and confinement in (2+1)-dimensional weakly-coupled Yang-Mills theory

We generalize the (2+1)-dimensional Yang-Mills theory to an anisotropic form with two gauge coupling constants e and e{sup '}. In axial gauge, a regularized version of the Hamiltonian of this gauge theory is H{sub 0}+e{sup '2}H{sub 1}, where H{sub 0} is the Hamiltonian of a set of (1+1)-dimensional principal chiral sigma nonlinear models and H{sub 1} couples charge densities of these sigma models. We treat H{sub 1} as the interaction Hamiltonian. For gauge group SU(2), we use form factors of the currents of the principal chiral sigma models to compute the string tension for small e{sup '}, after reviewing exactmore »