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|Title:||Role of the U(1) ghost beyond leading order in a large-Nc expansion|
|Citation:||Journal of Physics G-Nuclear and Particle Physics, 2008; 35(11):1-11|
|Publisher:||IOP Publishing Ltd|
|Hrayr H Matevosyan and Anthony W Thomas|
|Abstract:||The 1/Nc expansion is one of the very few methods we have for generating a systematic expansion of QCD at the energy scale relevant to hadron structure. The present formulation of this theory relies on the double-line notation for calculating the leading order of a diagram in the 1/Nc expansion, where the local SU(Nc) gauge symmetry is substituted by a U(Nc) symmetry and the associated U(1) ghost field is ignored. In the current work we demonstrate the insufficiency of this formulation for describing certain non-planar diagrams of interest in current attempts to model QCD. We derive a more complete set of Feynman rules that include the U(1) ghost field and provide a useful tool for calculating both color factors and 1/Nc orders of all color-singlet diagrams.|
|Rights:||© 2008 IOP Publishing Ltd|
|Appears in Collections:||Physics publications|
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