On mass spectrum in 't Hooft's 2D model of mesons
High Energy Physics - Theory
2015-05-13 v2 High Energy Physics - Phenomenology
Mathematical Physics
math.MP
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/\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.
Cite
@article{arxiv.0905.2280,
title = {On mass spectrum in 't Hooft's 2D model of mesons},
author = {V. A. Fateev and S. L. Lukyanov and A. B. Zamolodchikov},
journal= {arXiv preprint arXiv:0905.2280},
year = {2015}
}
Comments
26 pages, 4 figures; v2: refs added, typos corrected