Abstract
We generalize the -dimensional Yang-Mills theory to an anisotropic form with two gauge coupling constants and . In axial gauge, a regularized version of the Hamiltonian of this gauge theory is , where is the Hamiltonian of a set of -dimensional principal chiral sigma nonlinear models and couples charge densities of these sigma models. We treat 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 , after reviewing exact S-matrix and form-factor methods. In the anisotropic regime, the dependence of the string tension on the coupling constants is not in accord with generally-accepted dimensional arguments.
- Received 4 July 2006
DOI:https://doi.org/10.1103/PhysRevD.74.085001
©2006 American Physical Society