Hadrons and QCD instantons: A bosonized view

Citation
M. Kacir et al., Hadrons and QCD instantons: A bosonized view, ACT PHY P B, 30(2), 1999, pp. 287-348
Citations number
54
Categorie Soggetti
Physics
Journal title
ACTA PHYSICA POLONICA B
ISSN journal
05874254 → ACNP
Volume
30
Issue
2
Year of publication
1999
Pages
287 - 348
Database
ISI
SICI code
0587-4254(199902)30:2<287:HAQIAB>2.0.ZU;2-0
Abstract
In a dilute system of instantons and antiinstantons, the U-A(1) and scale a nomalies are shown to be directly related to the bulk susceptibility and co mpressibility of the system. Using 1/N-c (where N-c is the number of colors ) as a book-keeping argument, mesonic, baryonic and gluonic correlators are worked out in p-space and Fourier transformed to x-space for a comparison with recently simulated correlators. The results are in overall agreement w ith simulations and lattice calculations, for distances up to 1.5 fm, despi te the fact that some channels lack the necessary physical singularities. W e analyze various space-like form factors of the nucleon and show that they are amenable to constituent quark form factors to leading order in 1/N-c. Issues related to the lack of confinement in the model and its consequence on the various correlation functions and form factors are also discussed.