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          Institute: MPI für Physik     Collection: MPI für Physik     Display Documents



ID: 545101.0, MPI für Physik / MPI für Physik
Structure functions of $2d$ integrable asymptotically free models
Authors:Balog, J.; Weisz, P.
Date of Publication (YYYY-MM-DD):2004
Title of Journal:Physics Letters B
Journal Abbrev.:Phys.Lett.B
Issue / Number:594
Start Page:141
End Page:152
Audience:Not Specified
Intended Educational Use:No
Abstract / Description:We investigate structure functions in the 2--dimensional (asymptotically free) non--linear O$(n) \sigma$--models using the non--perturbative S--matrix bootstrap program. In particular the {\it 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 $-q^2/M^2<10^5$, 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.
Classification / Thesaurus:Field Theory
Comment of the Author/Creator:16 pages, 6 figures
External Publication Status:published
Document Type:Article
Communicated by:N.N.
Affiliations:MPI für Physik
Identifiers:LOCALID:MPP-2004-43
URL:http://www.slac.stanford.edu/spires/find/hep/www?r...
URL:http://arXiv.org/abs/hep-th/0405029
URL:http://publications.mppmu.mpg.de/?action=search&mp...
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