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

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/\sqrtπ. 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.

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

References in corpus (2)

• The quark mass dependence of the pion mass at infinite N
• Deep inelastic scattering and factorization in the 't Hooft Model

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