2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/189638We generalize the (2+1)-dimensional Yang-Mills theory to an anisotropic form with two gauge coupling constants $e$ and $e^{\prime}$. In an axial gauge, a regularized version of the Hamiltonian of this gauge theory is $H_{0}+{e^{\prime}}^{2}H_{1}$, where $H_{0}$ is the Hamiltonian of a set of (1+1)-dimensional principal chiral nonlinear sigma models. We treat $H_{1}$ 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 $e^{\prime}$, after reviewing exact S-matrix and form-factor methods. In the anisotropic regime, the dependence of the string tension on the coupling constant is not in accord with generally-accepted dimensional arguments.Now 37 pages, Section 5 moved to an appendix, more motivation given in the introduction, a few more typos correctedHigh Energy Physics - TheoryStrongly Correlated ElectronsHigh Energy Physics - LatticeIntegrable Models and Confinement in (2+1)-Dimensional Weakly-Coupled Yang-Mills Theorytext