Meson mass spectrum in QCD$_2$ 't Hooft's model
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910912277905408 |
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| author | Litvinov, Alexey Meshcheriakov, Pavel |
| author_facet | Litvinov, Alexey Meshcheriakov, Pavel |
| contents | 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. We also study the spectral sums in the chiral limit and the heavy quark limit and find a complete agreement with known results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_11324 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Meson mass spectrum in QCD$_2$ 't Hooft's model Litvinov, Alexey Meshcheriakov, Pavel High Energy Physics - Theory High Energy Physics - Phenomenology Mathematical Physics 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. We also study the spectral sums in the chiral limit and the heavy quark limit and find a complete agreement with known results. |
| title | Meson mass spectrum in QCD$_2$ 't Hooft's model |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology Mathematical Physics |
| url | https://arxiv.org/abs/2409.11324 |