A Transverse Lattice QCD Model for Mesons
Abstract
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.
Cite
@article{arxiv.hep-lat/0309063,
title = {A Transverse Lattice QCD Model for Mesons},
author = {Apoorva Patel and Raghunath Ratabole},
journal= {arXiv preprint arXiv:hep-lat/0309063},
year = {2009}
}
Comments
Lattice 2003 (theory), 3 pages