A (1+1)-Dimensional Reduced Model of Mesons
F.Antonuccio & S.Dalley
TL;DR
This paper extends a two-dimensional large-N_c QCD model to include helicity and gluon degrees of freedom, providing a non-perturbative analysis of meson properties and parton structures.
Contribution
It introduces a novel 2D reduced model incorporating helicity and gluons, with non-perturbative renormalisation and solutions for meson spectra and structure functions.
Findings
Analytical solutions for meson wavefunctions
Numerical results for meson masses
Computed polarized parton structure functions
Abstract
We propose an extension of 't Hooft's large- light-front QCD in two dimensions to include helicity and physical gluon degrees of freedom, modelled on a classical dimensional reduction of four dimensional QCD. A non-perturbative renormalisation of the infinite set of coupled integral equations describing boundstates is performed. These equations are then solved, both analytically in a phase space wavefunction approximation and numerically by discretising momenta, for (hybrid) meson masses and (polarized) parton structure functions.
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