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相关论文: Meson spectrum and low-energy constants in large-$…

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We provide first-principles non-perturbative determinations of the low-lying meson mass spectrum of large-$N$ QCD in the 't Hooft limit $N_{\scriptscriptstyle{\rm f}}/N\to 0$, as well as of three low-energy constants appearing in the QCD…

We present the results of a systematic, first-principles study of the spectrum and decay constants of mesons for different numbers of color charges N, via lattice computations. We restrict our attention to states in the non-zero isospin…

高能物理 - 格点 · 物理学 2013-06-25 Gunnar S. Bali , Francis Bursa , Luca Castagnini , Sara Collins , Luigi Del Debbio , Biagio Lucini , Marco Panero

The low energy mass spectrum of QCD in the large $N_C$ limit is computed. The low-lying states in the meson spectrum are explicitly evaluated up to the fourth order in the strong coupling perturbative expansion. The 't Hooft limit is smooth…

高能物理 - 格点 · 物理学 2009-11-10 G. Grignani , D. Marmottini , P. Sodano

We compute the low energy mass spectrum of lattice QCD in the large $N_C$ limit. Expanding around a gauge-invariant ground state, which spontaneously breaks the discrete chiral symmetry, we derive an improved strong-coupling expansion and…

高能物理 - 格点 · 物理学 2009-11-10 G. Grignani , D. Marmottini , P. Sodano

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…

高能物理 - 理论 · 物理学 2025-04-17 Aleksandr Artemev , Alexey Litvinov , Pavel Meshcheriakov

We present lattice results on the meson spectrum and decay constants in large-N QCD. The results are obtained in the quenched approximation for N = 2, 3, 4, 5, 6, 7 and 17 and extrapolated to infinite N.

高能物理 - 格点 · 物理学 2013-03-21 Gunnar S. Bali , Francis Bursa , Luca Castagnini , Sara Collins , Luigi Del Debbio , Biagio Lucini , Marco Panero

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…

高能物理 - 理论 · 物理学 2025-04-17 Alexey Litvinov , Pavel Meshcheriakov

We report on the computation of the scaling of QCD observables with the number of colours, $N_c$. For this, we use dynamical configurations with four active flavours, $N_f=4$, and values of $N_c=3-6$. We study the meson masses and decay…

高能物理 - 格点 · 物理学 2019-10-24 Fernando Romero-López , Andrea Donini , Pilar Hernández , Carlos Pena

In this paper we investigate $1/N$ corrections to mesonic spectrum in $1+1$-dimensional Quantum Chromodynamics ($\text{QCD}_2$) with fundamental quarks using effective Hamiltonian method. We express the corrections in terms of 't Hooft…

高能物理 - 理论 · 物理学 2025-02-24 Ilia V. Kochergin

We had previously obtained an integral equation for mesons in transverse lattice QCD, in the limit of large number of colours and strong transverse lattice gauge coupling [1]. This equation is a generalisation of the 't Hooft equation [2],…

高能物理 - 格点 · 物理学 2007-05-23 Apoorva D. Patel , Raghunath Ratabole

We present an update of our project of computing the meson spectrum and decay constants in large-N QCD. The results are obtained in the quenched approximation with the Wilson fermion action for N = 2, 3, 4, 5, 6, 7 and 17 and extrapolated…

高能物理 - 格点 · 物理学 2014-05-02 Gunnar S. Bali , Luca Castagnini , Biagio Lucini , Marco Panero

Mesons in large-N QCD are analysed in light-front coordinates with a transverse lattice at strong coupling. In this limit, their properties can be expressed as simple renormalisations of the 't Hooft model results. The integral eigenvalue…

高能物理 - 格点 · 物理学 2007-05-23 Apoorva Patel

Recently it has been shown that in two dimensions is possible to add new Lorentz invariant terms built with fractions containing the null vector $n= (1, 1)$. In this work, we have computed the meson spectrum following the 't Hooft model in…

高能物理 - 理论 · 物理学 2019-10-02 Jorge Alfaro , Alex Soto

Lattice results are presented for the meson spectrum of 1+1 dimensional gauge theory at large $N$, using the Twisted Eguchi-Kawai model. Comparison is made to the results obtained by `t Hooft in the light cone gauge.

高能物理 - 格点 · 物理学 2016-12-23 Margarita García Pérez , Antonio González-Arroyo , Liam Keegan , Masanori Okawa

The spectra of masses and decay constants for non-strange meson resonances in the energy range 0--2.5 GeV is analyzed. It is known from meson phenomenology that for given quantum numbers these spectra approximately follow linear…

高能物理 - 唯象学 · 物理学 2010-02-03 S. S. Afonin , A. A. Andrianov , V. A. Andrianov , D. Espriu

We studied meson-meson interactions using the 't Hooft model, which represents QCD in 1+1 dimensions and assumes a large number of colors ($N_c$). The dominant interactions in this large $N_c$ limit are generated by quark exchange. Our…

核理论 · 物理学 2009-11-10 Z. Batiz , M. T. Pena , A. Stadler

We extend the formalism pioneered by Callan, Coote and Gross to investigate the meson-meson scattering within the framework of 't Hooft model, i.e., the two-dimensional QCD in the $N_c\to \infty$ limit. We derive the analytic expressions…

高能物理 - 唯象学 · 物理学 2019-05-02 Guo-Ying Chen , Yingsheng Huang , Yu Jia , Rui Yu

We calculate the threshold $T$ matrices of the meson and baryon processes that have no annihilation diagrams: $\pi^{+}\Sigma^{+}$, $\pi^{+}\Xi^0$, $K^+p$, $K^+n$, and $\bar{K}^0\Xi^0$ to the fourth order in heavy baryon chiral perturbation…

高能物理 - 唯象学 · 物理学 2025-10-10 Jing Ou-Yang , Ke Wang , Bo-Lin Huang

We study 't Hooft's equation for bound states in 2d multicolor QCD. We consider the case of quarks with equal masses. We derive asymptotic expansions for the spectrum of mesons in different regimes and study their properties.

高能物理 - 理论 · 物理学 2010-08-25 Iskander Ziyatdinov

Meson masses and decay constants in the large $N$ limit of SU($N$) gauge theory are determined using the twisted Eguchi-Kawai reduced model. To this end, we make use of a recently defined smearing method valid on the one-point lattice. This…

高能物理 - 格点 · 物理学 2016-11-15 Margarita García Pérez , Antonio González-Arroyo , Masanori Okawa
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