NJL model on the light cone and pion structure function

Details NJL model on the light cone and pion structure function NJL model on the light cone and pion structure function

1999-01-22

arxiv.org/abs/hep-ph/9901377v1

Nucl.Phys. A651 (1999) 143-173

Physics

High Energy Physics

High Energy Physics - Phenomenology

48 pages, 5 figures

Scientific paper

10.1016/S0375-9474(99)00130-X

The NJL model is formulated on the light cone. Using the 1/N expansion to solve the fermionic constraint, an effective 4-fermi lagrangian is derived. Pionic properties are investigated using this lagrangian, and the formal equivalence to the equal-time formulation is demonstrated. Two regularization schemes in terms of light-cone variables are discussed: An extension of the 'invariant mass cut-off scheme', and a transverse momentum cut-off scheme. It is shown that the first one is equivalent to the covariant 3-momentum cut-off (dispersion cut-off) scheme in the equal-time formulation. As an application the structure function of the pion is studied in both regularization schemes.

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