2006/07/31 by Peter Orland · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #cond-mat.str-el #hep-lat #hep-th
paper · pdf · doi:10.1103/physrevd.74.085001
published as Phys.Rev.D74:085001,2006 · Now 37 pages, Section 5 moved to an appendix, more motivation given in the introduction, a few more typos corrected
arxiv created 2006/09/11 · openalex publication_date 2006/10/02 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
We generalize the (2+1)-dimensional Yang-Mills theory to an anisotropic form with two gauge coupling constants e and e^\ensuremath'. In axial gauge, a regularized version of the Hamiltonian of this gauge theory is H0+e^\ensuremath'2H1, where H0 is the Hamiltonian of a set of (1+1)-dimensional principal chiral sigma nonlinear models and H1 couples charge densities of these sigma models. We treat H1 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^\ensuremath', 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.