Abstract
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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