2014
DOI: 10.1103/physrevd.90.065002
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(2+1)-dimensional Yang-Mills 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 space-time 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… Show more

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Cited by 5 publications
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“…Nothing is known about form factors of the PCF model for finite N ≥ 3 except the two-particle form factor of the current operator found in [40]. At infinite N multiparticle form factors of the renormalised field operator were found in [41], and those of the current and energy-momentum tensor operators in [42,43]. Since up to a twist the SU(2)×SU(2) = O(4) model can be obtained from the SS model in a special limit p 1 , p 2 → ∞, much more is known about the N = 2 case.…”
Section: Introductionmentioning
confidence: 99%
“…Nothing is known about form factors of the PCF model for finite N ≥ 3 except the two-particle form factor of the current operator found in [40]. At infinite N multiparticle form factors of the renormalised field operator were found in [41], and those of the current and energy-momentum tensor operators in [42,43]. Since up to a twist the SU(2)×SU(2) = O(4) model can be obtained from the SS model in a special limit p 1 , p 2 → ∞, much more is known about the N = 2 case.…”
Section: Introductionmentioning
confidence: 99%