Effective hamiltonians for 1/N expansion in two-dimensional QCD

Details Effective hamiltonians for 1/N expansion in two-dimensional QCD Effective hamiltonians for 1/N expansion in two-dimensional QCD

1994-06-08

arxiv.org/abs/hep-th/9406046v1

Nucl.Phys. B434 (1995) 109-138

Physics

High Energy Physics

High Energy Physics - Theory

35 pages, uses harvmac.tex and epsf.tex, 5 figures included

Scientific paper

10.1016/0550-3213(94)00442-H

We discuss the general structure of effective hamiltonians for systematic 1/N expansion in QCD using the light-cone quantization. These are second-quantized hamiltonians acting on the Fock space of mesons and glueballs defined by the solution of the $N=\infty$ problem. In the two-dimensional case we find only cubic and quartic interaction terms, and give explicit expressions for the vertex functions as integrals of solutions of 't Hooft equation. As examples of possible applications of our formalism, we study 1/N corrections to meson mass and form factors for decays of $Q\bar{q}$ states, recently discussed by Grinstein and Mende in the large-N limit. We find that 1/N is a good small expansion parameter.

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