(2+1)dimensional YangMills theory and form factor perturbation theory
Abstract
We study Yang Mills theory in 2+1 dimensions, as an array of coupled (1+1)dimensional principal chiral sigma models. This can be understood as an anisotropic limit where one of the spacetime dimensions is discrete and the others are continuous. The SU(N)×SU(N) principal chiral sigma model in 1+1 dimensions is integrable, asymptotically free and has massive excitations. New exact form factors and correlation functions of the sigma model have recently been found by the author and P. Orland. In this paper, we use these new results to calculate physical quantities in (2+1)dimensional YangMills theory, generalizing previous SU(2) results by Orland, which include the string tensions and the lowlying glueball spectrum. We also present a new approach to calculate twopoint correlation functions of operators using the light glueball states. The anisotropy of the theory yields different correlation functions for operators separated in the x^{1} and x^{2} directions.
 Publication:

Physical Review D
 Pub Date:
 September 2014
 DOI:
 10.1103/PhysRevD.90.065002
 arXiv:
 arXiv:1405.7639
 Bibcode:
 2014PhRvD..90f5002C
 Keywords:

 03.65.Ge;
 11.10.Kk;
 11.55.Bq;
 Solutions of wave equations: bound states;
 Field theories in dimensions other than four;
 Analytic properties of S matrix;
 High Energy Physics  Theory;
 Condensed Matter  Strongly Correlated Electrons;
 High Energy Physics  Lattice;
 Nonlinear Sciences  Exactly Solvable and Integrable Systems
 EPrint:
 Version published in Phys. Rev. D. Updated references