QCD$_2$ 't Hooft's 模型中的介子质量谱

arXiv - MATH - Mathematical Physics Pub Date : 2024-09-17 DOI:arxiv-2409.11324

Alexey Litvinov, Pavel Meshcheriakov

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引用次数: 0

摘要

我们研究了受著名的't Hooft积分方程支配的大 $N_c$ QCD$_2$ 中介子质量谱。我们将法捷耶夫、卢基亚诺夫和扎莫洛奇科夫提出的分析方法推广到任意但质量相等的夸克质量 $m_1=m_2 的情况。

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Meson mass spectrum in QCD$_2$ 't Hooft's model

We study the spectrum of meson masses in large $N_c$ QCD$_2$ governed by celebrated 't Hooft's integral equation. We generalize analytical methods proposed by Fateev, Lukyanov and Zamolodchikov to the case of arbitrary, but equal quark masses $m_1=m_2.$ Our results include analytical expressions for spectral sums and systematic large-$n$ expansion.

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arXiv - MATH - Mathematical Physics

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