Exact form factors of the O(N) $\sigma$-model

Abstract

A general form factor formula for the $O(N)\sigma$-model is constructed and applied to several operators. The large N limits of these form factors are computed and compared with the 1/N expansion of the $O(N)\sigma$-model in terms of Feynman graphs and full agreement is found. In particular, O(3) and O(4) form factors are discussed. For the $O(3)\sigma$-model several low particle form factors are calculated explicitly.

51 pages, additional text and references

References in corpus (4)

• Exact form factors of the SU(N) Gross-Neveu model and 1/N expansion
• The nested SU(N) off-shell Bethe ansatz and exact form factors
• Construction and clustering properties of the 2-d non-linear sigma-model form factors: O(3), O(4), large n examples
• The Nested Off-shell Bethe ansatz and O(N) Matrix Difference Equations

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