On mass spectrum in 't Hooft's 2D model of mesons

Details On mass spectrum in 't Hooft's 2D model of mesons On mass spectrum in 't Hooft's 2D model of mesons

2009-05-14

arxiv.org/abs/0905.2280v2

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, 4 figures; v2: refs added, typos corrected

Scientific paper

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.

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