Meson mass spectrum in QCD2 't Hooft's model

We study the spectrum of meson masses in large Nc QCD2 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 m1=m2. Our results include analytical expressions for spec...

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Main Authors: Alexey Litvinov, Pavel Meshcheriakov
Format: Article
Language:English
Published: Elsevier 2025-01-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321324003328
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author Alexey Litvinov
Pavel Meshcheriakov
author_facet Alexey Litvinov
Pavel Meshcheriakov
author_sort Alexey Litvinov
collection DOAJ
description We study the spectrum of meson masses in large Nc QCD2 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 m1=m2. 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.
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issn 0550-3213
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publishDate 2025-01-01
publisher Elsevier
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series Nuclear Physics B
spelling doaj-art-368a1ddfc8a048beb1a124fd69f5b5a52025-08-20T02:46:47ZengElsevierNuclear Physics B0550-32132025-01-01101011676610.1016/j.nuclphysb.2024.116766Meson mass spectrum in QCD2 't Hooft's modelAlexey Litvinov0Pavel Meshcheriakov1Krichever Center, Skolkovo Institute of Science and Technology, 121205 Moscow, Russia; Landau Institute for Theoretical Physics, 142432 Chernogolovka, Russia; Corresponding author.Krichever Center, Skolkovo Institute of Science and Technology, 121205 Moscow, Russia; Landau Institute for Theoretical Physics, 142432 Chernogolovka, Russia; Moscow Institute of Physics and Technology, 141700 Dolgoprudny, RussiaWe study the spectrum of meson masses in large Nc QCD2 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 m1=m2. 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.http://www.sciencedirect.com/science/article/pii/S0550321324003328
spellingShingle Alexey Litvinov
Pavel Meshcheriakov
Meson mass spectrum in QCD2 't Hooft's model
Nuclear Physics B
title Meson mass spectrum in QCD2 't Hooft's model
title_full Meson mass spectrum in QCD2 't Hooft's model
title_fullStr Meson mass spectrum in QCD2 't Hooft's model
title_full_unstemmed Meson mass spectrum in QCD2 't Hooft's model
title_short Meson mass spectrum in QCD2 't Hooft's model
title_sort meson mass spectrum in qcd2 t hooft s model
url http://www.sciencedirect.com/science/article/pii/S0550321324003328
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