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



ID: 543286.0, MPI für Physik / MPI für Physik
Test of asymptotic freedom and scaling hypothesis in the 2d O(3) sigma model
Authors:Balog, J.; Weisz, P.
Date of Publication (YYYY-MM-DD):2003
Title of Journal:Nuclear Physics B
Journal Abbrev.:Nucl.Phys.B
Issue / Number:668
Start Page:506
End Page:516
Audience:Not Specified
Intended Educational Use:No
Abstract / Description:The 7--particle form factors of the fundamental spin field of the O(3) nonlinear $\sigma$--model are constructed. We calculate the corresponding contribution to the spin--spin correlation function, and compare with predictions from the spectral density scaling hypothesis. The resulting approximation to the spin--spin correlation function agrees well with that computed in renormalized (asymptotically free) perturbation theory in the expected energy range. Further we observe simple lower and upper bounds for the sum of the absolute square of the form factors which may be of use for analytic estimates.
Classification / Thesaurus:Field Theory
Comment of the Author/Creator:14 pages, 3 figures, latex
External Publication Status:published
Document Type:Article
Communicated by:N.N.
Affiliations:MPI für Physik
Identifiers:LOCALID:MPP-2003-22
URL:http://www.slac.stanford.edu/spires/find/hep/www?r...
URL:http://arXiv.org/abs/hep-th/0304214
URL:http://publications.mppmu.mpg.de/?action=search&mp...
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