Glueball Masses in (2+1)-Dimensional Anisotropic Weakly-Coupled Yang-Mills Theory

Abstract

The confinement problem has been solved in the anisotropic (2+1)-dimensional SU(N) Yang-Mills theory at weak coupling. In this paper, we find the low-lying spectrum for N=2. The lightest excitations are pairs of fundamental particles of the (1+1)-dimensional SU(2)XSU(2) principal chiral sigma model bound in a linear potential, with a specified matching condition where the particles overlap. This matching condition can be determined from the exactly-known S-matrix for the sigma model.

arXiv commentMisprints corrected, language implroved, still 11 pages, 1 figure

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• The robustness of the vacuum wave function and other matters for Yang-Mills theory
• Multiparticle Form Factors of the Principal Chiral Model At Large N
• Summing Planar Diagrams by an Integrable Bootstrap II
• Summing Planar Diagrams by an Integrable Bootstrap
• Correlation Functions of the SU(infinity) Principal Chiral Model
• Composite Strings in (2+1)-Dimensional Anisotropic Weakly-Coupled Yang-Mills Theory
• Dynamical Mass Reduction in the Massive Yang-Mills Spectrum in 1+1 dimensions
• (2+1)-Dimensional Yang-Mills Theory and Form Factor Perturbation Theory
• Longitudinal Rescaling and High-Energy Effective Actions
• On the deconfining limit in (2+1)-dimensional Yang-Mills theory
• Near-integrability and confinement for high-energy hadron-hadron collisions
• Confinement for all couplings in a ${\mathbb{Z}}_2$ lattice gauge theory
• Fluctuations Destroying Long-Range Order in SU(2) Yang-Mills Theory
• Notes on the Hamiltonian formulation of 3D Yang-Mills theory