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

被引:22
作者
Fateev, V. A. [1 ,3 ]
Lukyanov, S. L. [2 ,3 ]
Zamolodchikov, A. B. [2 ,3 ]
机构
[1] Univ Montpellier 2, Lab Phys Theor & Astroparticules, CNRS, UMR5207,UM2, F-34095 Montpellier, France
[2] Rutgers State Univ, Dept Phys & Astron, NHETC, Piscataway, NJ 08855 USA
[3] LD Landau Theoret Phys Inst, Chernogolovka 142432, Russia
关键词
D O I
10.1088/1751-8113/42/30/304012
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study 't Hooft's integral equation determining the meson masses M-n in multicolor QCD(2). In this paper we concentrate on developing an analytic method, and restrict our attention to the special case of quark masses m(1) = m(2) = g/root pi. Among our results is the 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 quark masses, and we announce some preliminary results for m(1) = m(2) (equations (6.1) and (6.3)).
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页数:23
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