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Exact form factors of the O(N) σ-model

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Abstract

A general form factor formula for the O(N ) σ-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 ) σ-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) σ-model several low particle form factors are calculated explicitly.

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Authors and Affiliations

  1. Yerevan Physics Institute, Alikhanian Brothers 2, Yerevan, 375036, Armenia

    Hrachya M. Babujian

  2. Instituto de Física da UFRGS, Av. Bento Gonçalves 9500, Porto Alegre, RS -, Brazil

    Angela Foerster

  3. Institut für Theoretische Physik, Arnimallee 14, 14195, Berlin, Germany

    Michael Karowski

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  1. Hrachya M. Babujian
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  2. Angela Foerster
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  3. Michael Karowski
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Correspondence to Hrachya M. Babujian.

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ArXiv ePrint: 1308.1459

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Babujian, H.M., Foerster, A. & Karowski, M. Exact form factors of the O(N) σ-model. J. High Energ. Phys. 2013, 89 (2013). https://doi.org/10.1007/JHEP11(2013)089

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