A Transverse Lattice QCD Model for Mesons

Details A Transverse Lattice QCD Model for Mesons A Transverse Lattice QCD Model for Mesons

2003-09-14

arxiv.org/abs/hep-lat/0309063v1

Physics

High Energy Physics

High Energy Physics - Lattice

Lattice 2003 (theory), 3 pages

Scientific paper

10.1016/S0920-5632(03)02744-0

QCD is analysed with two light-front continuum dimensions and two transverse lattice dimensions. In the limit of large number of colours and strong transverse gauge coupling, the contributions of light-front and transverse directions factorise in the dynamics, and the theory can be analytically solved in a closed form. An integral equation is obtained, describing the properties of mesons, which generalises the 't Hooft equation by including spin degrees of freedom. The meson spectrum, light-front wavefunctions and form factors can be obtained by solving this equation numerically. These results would be a good starting point to model QCD observables which only weakly depend on transverse directions, e.g. deep inelastic scattering structure functions.

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