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

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.

preprint2009arXivOpen access
V. A. FateevS. L. LukyanovA. B. Zamolodchikov
hep-phmath-phmath.MPhep-th
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V. A. FateevS. L. LukyanovA. B. Zamolodchikov

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