QCD$_2$ 't Hooft model: 2-flavour mesons spectrum
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909581790150656 |
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| author | Artemev, Aleksandr Litvinov, Alexey Meshcheriakov, Pavel |
| author_facet | Artemev, Aleksandr Litvinov, Alexey Meshcheriakov, Pavel |
| contents | We continue analytical study of the meson mass spectrum in the large-$N_c$ two-dimensional QCD, known as the 't Hooft model, by addressing the most general case of quarks with unequal masses. Based on our previous work, we develop non-perturbative methods to compute spectral sums and systematically derive large-$n$ WKB expansion of the spectrum. Furthermore, we examine the behavior of these results in various asymptotic regimes, including the chiral, heavy quark, and heavy-light limits, and establish a precise coincidence with known analytical and numerical results obtained through alternative approaches. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_12081 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | QCD$_2$ 't Hooft model: 2-flavour mesons spectrum Artemev, Aleksandr Litvinov, Alexey Meshcheriakov, Pavel High Energy Physics - Theory High Energy Physics - Phenomenology Mathematical Physics We continue analytical study of the meson mass spectrum in the large-$N_c$ two-dimensional QCD, known as the 't Hooft model, by addressing the most general case of quarks with unequal masses. Based on our previous work, we develop non-perturbative methods to compute spectral sums and systematically derive large-$n$ WKB expansion of the spectrum. Furthermore, we examine the behavior of these results in various asymptotic regimes, including the chiral, heavy quark, and heavy-light limits, and establish a precise coincidence with known analytical and numerical results obtained through alternative approaches. |
| title | QCD$_2$ 't Hooft model: 2-flavour mesons spectrum |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology Mathematical Physics |
| url | https://arxiv.org/abs/2504.12081 |