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

On the mass spectrum in 't Hooft's 2D model of mesons
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关于 t Hooft 介子二维模型中的质谱

DOI:
10.1088/1751-8113/42/30/304012
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发表时间:
2009
期刊:
Journal of Physics A: Mathematical and Theoretical
影响因子:
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通讯作者:
A. Zamolodchikov
A. Zamolodchikov
中科院分区:
--
文献类型:
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作者:
Vladimir Fateev;Vladimir Fateev;S. Lukyanov;S. Lukyanov;A. Zamolodchikov;A. Zamolodchikov

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我们研究了确定多色 QCD2 中介子质量 Mn 的 't Hooft 积分方程。在本文中,我们专注于开发一种分析方法,并将我们的注意力限制在夸克质量的特殊情况上。 Among our results is the systematic large-n expansion, and exact sum rules for Mn.虽然我们明确只讨论特殊情况,但该方法适用于夸克质量的一般情况,并且我们宣布了 m1 = m2 的一些初步结果(方程(6.1)和(6.3))。
We study 't Hooft's integral equation determining the meson masses Mn in multicolor QCD2. In this paper we concentrate on developing an analytic method, and restrict our attention to the special case of quark masses . Among our results is the systematic large-n expansion, and exact sum rules for Mn. Although we explicitly discuss only the special case, the method applies to the general case of quark masses, and we announce some preliminary results for m1 = m2 (equations (6.1) and (6.3)).