arXiv:0905.2280·v2·High Energy Physics — Theory
On mass spectrum in 't Hooft's 2D model of mesons
V. A. Fateev🇫🇷 · S. L. Lukyanov🇺🇸 · A. B. Zamolodchikov🇺🇸
Abstract
We study 't Hooft's integral equation determining the meson masses M_n in multicolor QCD_2. In this note we concentrate on developing an analytic method, and restrict our attention to the special case of quark masses m_1=m_2=g/\sqrt{\pi}. Among our results is systematic large-n expansion, and exact sum rules for M_n. Although we explicitly discuss only the special case, the method applies to the general case of the quark masses, and we announce some preliminary results for m_1=m_2.
Comments: 26 pages, 4 figures; v2: refs added, typos corrected