NJL model on the light cone and pion structure function

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.

48 pages, 5 figures

Cited by in corpus (46)

• Distribution Functions of the Nucleon and Pion in the Valence Region
• Insights into the Emergence of Mass from Studies of Pion and Kaon Structure
• The Stability of Nuclear Matter in the Nambu-Jona-Lasinio Model
• The pion parton distribution function in the valence region
• Valence-quark distributions in the pion
• First direct lattice-QCD calculation of the $x$-dependence of the pion parton distribution function
• Symmetry, symmetry breaking, and pion parton distributions
• Basic features of the pion valence-quark distribution function
• Pion light-cone wave function and pion distribution amplitude in the Nambu-Jona-Lasinio model
• Pion and kaon valence-quark parton distribution functions
• Flavour dependence of the pion and kaon form factors and parton distribution functions
• Parton distribution functions in the pion from lattice QCD
• Transverse Momentum Dependent Fragmentation and Quark Distribution Functions from the NJL-jet Model
• Hadron Structure Functions in a Chiral Quark Model: Regularization, Scaling and Sum Rules
• Contact interaction analysis of pion GTMDs
• The NJL-jet model for quark fragmentation functions
• Calculating Kaon Fragmentation Functions from NJL-Jet Model
• Quark distrbutions in the nucleon based on a relativistic 3-body approach to the NJL model
• Quantifying finite-momentum effects in meson quasi-PDFs
• Axial vector diquark correlations in the nucleon: Structure functions and static properties
• Pion and kaon valence quark distribution functions from Dyson-Schwinger equations
• Pion Valence Quark Distributions from Maximum Entropy Method
• Monte Carlo Simulations of Hadronic Fragmentation Functions using NJL-Jet Model
• Pion Valence-quark Parton Distribution Function
• Exploring the Partonic Structure of Hadrons through the Drell-Yan Process
• Impact parameter dependent quark distribution of the pion
• A Model for the Pion Structure Function
• Calculating Dihadron Fragmentation Functions in the NJL-jet model
• Several Topics on Transverse Momentum-Dependent Fragmentation Functions
• Dynamical Chiral Symmetry Breaking on the Light Front.II. The Nambu--Jona-Lasinio Model
• Fragmentation functions and parton distribution functions for the pion with the nonlocal interactions
• Quark-Jet model for transverse momentum dependent fragmentation functions
• Dynamical Chiral Symmetry Breaking on the Light Front I. DLCQ Approach
• Fragmentation and quark distribution functions for the pion and kaon with explicit flavor-SU(3)-symmetry breaking
• Hadronic structure on the light-front VIII. Light scalar and vector mesons
• Hadronic structure on the light-front VII. Pions and kaons and their partonic distributions
• Light-front Nambu--Jona-Lasinio model at finite temperature and density
• Chiral Symmetry in Light-Cone Field Theory
• The Light-Cone Wave Function of the Pion
• Light Mesons on the Light Front
• Chiral Condensates in the Light-Cone Vacuum
• DSE inspired model for the pion's valence dressed-quark GPD
• The kaon off-shell generalized parton distributions and transverse momentum dependent parton distributions
• Parton distribution and fragmentation functions with massive gluons
• Vector Mesons on the Light Front
• Different scenarios of dynamical chiral symmetry breaking in the interacting instanton liquid model via flavor symmetry breaking