Journal Article

PUBDB-2025-01381

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png 2d QCD and integrability. Part I. ’t Hooft model

Ambrosino, F. (Corresponding author)DESY* ; Komatsu, S.

2025
Springer Heidelberg

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Please use a persistent id in citations: doi:10.1007/JHEP02(2025)126  doi:10.3204/PUBDB-2025-01381

Report No.: CERN-TH-2023-197; DESY-23-155; arXiv:2312.15598

Abstract: We study analytic properties and integrable structures of the meson spectrum in large N$_{c}$ QCD$_{2}$. We show that the integral equation that determines the masses of the mesons, often called the ’t Hooft equation, is equivalent to finding solutions to a TQ-Baxter equation. Our analysis extends some of previous results by Fateev et al. to general quark masses m = m$_{1}$ = m$_{2}$, as a perturbative series of the mass parameter. This reformulation, together with its relation to an inhomogeneous Fredholm equation, makes accessible the analytic structure of the spectrum in the complex plane of the quark masses. We also comment on applications of our techniques to non-perturbative topological string partition functions.

Keyword(s): quark: mass ; string: partition function ; meson: mass ; string: topological ; expansion 1/N: color ; quantum chromodynamics ; integrability ; structure ; integral equations ; energy levels ; nonperturbative ; Baxter equation ; 1/N Expansion ; Confinement ; Field Theories in Lower Dimensions ; Gauge Symmetry

Note: 74 pages; v3: presentations improved, errors corrected, comparison with arXiv:2409.11324 included

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. DFG project G:(GEPRIS)390833306 - EXC 2121: Quantum Universe (390833306) (390833306)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2025

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Database coverage:
; ; ; ; ; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; DOAJ Seal ; Ebsco Academic Search ; Essential Science Indicators ; IF >= 5 ; JCR ; National-Konsortium ; SCOAP3 sponsored Journal ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint Ambrosino, F.DESY* ; Komatsu, S. (Corresponding author)
2d QCD and Integrability, Part I: 't Hooft model
[10.3204/PUBDB-2024-00024]     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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