Structure functions of the 2d O(n) non-linear sigma models

Janos Balog, Peter Weisz

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We investigate structure functions in the 2-dimensional (asymptotically free) non-linear O(n) σ-models using the non-perturbative S-matrix bootstrap program. In particular, the exact small (Bjorken) x behavior is derived. Structure functions in the special case of the n = 3 model are accurately computed over the whole x range for -q2/M2 < 105, and some moments are compared with results from renormalized perturbation theory. Some results concerning the structure functions in the 1/n approximation are also presented.

Original languageEnglish
Pages (from-to)329-380
Number of pages52
JournalNuclear Physics B
Issue number1-2
Publication statusPublished - Mar 7 2005


ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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