Parton distribution functions from large N-c QCD

Authors
Citation
Sg. Rajeev, Parton distribution functions from large N-c QCD, NUCL PH B-P, 86, 2000, pp. 86-89
Citations number
22
Categorie Soggetti
Physics
Journal title
NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS
ISSN journal
09205632 → ACNP
Volume
86
Year of publication
2000
Pages
86 - 89
Database
ISI
SICI code
0920-5632(200006)86:<86:PDFFLN>2.0.ZU;2-4
Abstract
In the Bjorken limit, the tranverse momenta of partons can be treated pertu rbatively. The non-perturbative part of the problem of determining Deep Ine lastic structure functions becomes then that of solving two dimensional QCD (2DQCD). We show an isomorphism of 2DQCD with a bilocal field theory of ha drons ( two dimensional Quantum HadronDynamics, 2DQHD). Baryons are topolog ical solitons of this theory. The classical limit of 2DQHD is the large N-c limit of 2DQCD; by solving its equations of motion we can determine the st ructure function of the baryon. We compare the answer with measurements in neutrino scattering and get good agreement; also we find that the anti-quar k content of the baryon is small in the limit of large N-c and small curren t quark mass.