NJL model on the light cone and pion structure function

1999/01/22 by W. Bentz, T. Hama, T. Matsuki +1 · 5 citations
Physics and Astronomy · #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #hep-ph

paper · pdf · doi:10.1016/s0375-9474(99)00130-x

published as Nucl.Phys. A651 (1999) 143-173 · 48 pages, 5 figures

arxiv created 1999/01/22 · openalex publication_date 1999/05/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Citations

• Asymptotic freedom in parton language
• Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. I
• Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. II

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