### 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 -q^{2}/M^{2}5, 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 language | English |
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Pages (from-to) | 141-152 |

Number of pages | 12 |

Journal | Physics Letters B |

Volume | 594 |

Issue number | 1-2 |

DOIs | |

Publication status | Published - Jul 29 2004 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Physics Letters B*,

*594*(1-2), 141-152. https://doi.org/10.1016/j.physletb.2004.05.018

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

Research output: Contribution to journal › Article

*Physics Letters B*, vol. 594, no. 1-2, pp. 141-152. https://doi.org/10.1016/j.physletb.2004.05.018

}

TY - JOUR

T1 - Structure functions of 2d integrable asymptotically free models

AU - Balog, J.

AU - Weisz, Peter

PY - 2004/7/29

Y1 - 2004/7/29

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=3042656499&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=3042656499&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2004.05.018

DO - 10.1016/j.physletb.2004.05.018

M3 - Article

VL - 594

SP - 141

EP - 152

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 1-2

ER -