A transverse lattice QCD model for mesons

✍ Scribed by Apoorva D. Patel; Raghunath Ratabole

• Book ID: 104354808
• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 326 KB
• Volume: 129-130
• Category: Article
• ISSN: 0920-5632
• DOI: 10.1016/s0920-5632(03)02744-0

✦ Synopsis

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 factor&e 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.