Integrable Models and Confinement in (2+1)-Dimensional Weakly-Coupled Yang-Mills Theory

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dc.creatorOrland, Peter
dc.date2006-07-03
dc.date2006-09-11
dc.date.accessioned2026-07-07T11:06:47Z
dc.date.available2026-07-07T11:06:47Z
dc.descriptionWe 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.
dc.descriptionNow 37 pages, Section 5 moved to an appendix, more motivation given in the introduction, a few more typos corrected
dc.identifierhttps://arxiv.org/abs/hep-th/0607013
dc.identifierhttp://arxiv.org/abs/hep-th/0607013
dc.identifierPhys.Rev.D74:085001,2006
dc.identifierdoi:10.1103/PhysRevD.74.085001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/189638
dc.subjectHigh Energy Physics - Theory
dc.subjectStrongly Correlated Electrons
dc.subjectHigh Energy Physics - Lattice
dc.titleIntegrable Models and Confinement in (2+1)-Dimensional Weakly-Coupled Yang-Mills Theory
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