Construction and clustering properties of the 2-d non-linear sigma-model form factors: O(3), O(4), large n examples

Details Construction and clustering properties of the 2-d non-linear sigma-model form factors: O(3), O(4), large n examples Construction and clustering properties of the 2-d non-linear sigma-model form factors: O(3), O(4), large n examples

2007-01-22

arxiv.org/abs/hep-th/0701202v1

Nucl.Phys.B778:259-309,2007

Physics

High Energy Physics

High Energy Physics - Theory

61 pages, LaTeX

Scientific paper

10.1016/j.nuclphysb.2007.03.038

Multi-particle form factors of local operators in integrable models in two dimensions seem to have the property that they factorize when one subset of the particles in the external states are boosted by a large rapidity with respect to the others. This remarkable property, which goes under the name of form factor clustering, was first observed by Smirnov in the O(3) non-linear sigma-model and has subsequently found useful applications in integrable models without internal symmetry structure. In this paper we conjecture the nature of form factor clustering for the general O(n) sigma-model and make some tests in leading orders of the 1/n expansion and for the special cases n=3,4.

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