Structure functions of 2d integrable asymptotically free models

J. Balog, Peter Weisz

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

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 exhibited; the structure is rather universal and is probably the same in a wide class of (integrable) asymptotically free models. Structurally similar universal formulae may also hold for the small x behavior of QCD in 4-dimensions. Structure functions in the special case of the n=3 model are accurately computed over the whole x range for -q2/M25, and some moments are compared with results from renormalized perturbation theory. Some remarks concerning the structure functions in the 1/n approximation are also made.

Original languageEnglish
Pages (from-to)141-152
Number of pages12
JournalPhysics Letters B
Volume594
Issue number1-2
DOIs
Publication statusPublished - Jul 29 2004

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perturbation theory
quantum chromodynamics
moments
matrices
approximation

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Structure functions of 2d integrable asymptotically free models. / Balog, J.; Weisz, Peter.

In: Physics Letters B, Vol. 594, No. 1-2, 29.07.2004, p. 141-152.

Research output: Contribution to journalArticle

Balog, J. ; Weisz, Peter. / Structure functions of 2d integrable asymptotically free models. In: Physics Letters B. 2004 ; Vol. 594, No. 1-2. pp. 141-152.
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