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Related papers: QCD$_2$ 't Hooft model: 2-flavour mesons spectrum

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The 't Hooft model (two-dimensional QCD in the limit of large number of colors) is used as a laboratory for exploring various aspects of the heavy quark expansions in the nonleptonic and semileptonic decays of heavy flavors. We perform a…

High Energy Physics - Phenomenology · Physics 2014-11-17 I. Bigi , M. Shifman , N. Uraltsev , A. Vainshtein

Explicit quark-hadron duality in the limit of heavy quark mass is studied using the 't Hooft model, where both partonic and hadronic amplitudes may be computed exactly. Results for weak decays of heavy mesons are presented for both standard…

High Energy Physics - Phenomenology · Physics 2007-05-23 Richard F. Lebed

The large mass limit of QCD uncovers symmetries that are not present in the QCD lagrangian. These symmetries have been applied to physical (finite mass) systems, such as B and D mesons. We explore the validity of this approximation in the…

High Energy Physics - Phenomenology · Physics 2010-11-01 Benjamin Grinstein , Paul F. Mende

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…

Nuclear Theory · Physics 2009-11-10 Z. Batiz , M. T. Pena , A. Stadler

In this note we calculate the spectrum of two-dimensional QCD. We formulate the theory with SU(N_c) currents rather than with fermionic operators. We construct the Hamiltonian matrix in DLCQ formulation as a function of the harmonic…

High Energy Physics - Theory · Physics 2008-11-26 U. Trittmann

We study large-$N_c$ scalar QCD$_2$, a $1+1$-dimensional confining gauge theory with fundamental scalar quarks, whose meson spectrum is governed by a Bethe-Salpeter equation structurally parallel to the 't Hooft equation. Exploiting this…

High Energy Physics - Theory · Physics 2025-09-24 Pavel Meshcheriakov

We discuss the issue of the local quark-hadron duality at high energies in two- and four-dimensional QCD. A mechanism of the dynamical realization of the quark-hadron duality in two- dimensional QCD in the limit of large number of colors,…

High Energy Physics - Phenomenology · Physics 2014-11-17 B. Blok , M. Shifman , Da-Xin Zhang

The generalization of QCD to many colors is not unique; each distinct choice corresponds to a distinct 1/N_c expansion. The familiar 't Hooft N_c -> \infty limit places quarks in the fundamental representation of SU(N_c), while an…

High Energy Physics - Phenomenology · Physics 2009-09-02 Aleksey Cherman , Thomas D. Cohen , Richard F. Lebed

We consider the 3d dual of 1+1 dimensional large-N_c QCD with quarks in the fundamental representation, also known as the 't Hooft model. 't Hooft solved this model by deriving a Schroedinger equation for the wavefunction of a parton inside…

High Energy Physics - Theory · Physics 2010-10-27 Emanuel Katz , Takemichi Okui

We pursue the issue of the local quark-hadron duality at high energies in two- and four-dimensional QCD. A mechanism of the dynamical realization of the quark-hadron duality in two-dimensional QCD in the limit of large number of colors,…

High Energy Physics - Phenomenology · Physics 2009-10-30 B. Blok

We address nonperturbative power corrections to inclusive decay widths of heavy flavor hadrons in the context of the 't Hooft model (two-dimensional QCD at N_c->oo), with the emphasis on the spectator-dependent effects sensitive to the…

High Energy Physics - Phenomenology · Physics 2014-11-17 Ikaros Bigi , Nikolai Uraltsev

We propose an extension of 't Hooft's large-$N_c$ light-front QCD in two dimensions to include helicity and physical gluon degrees of freedom, modelled on a classical dimensional reduction of four dimensional QCD. A non-perturbative…

High Energy Physics - Theory · Physics 2009-10-28 F. Antonuccio , S. Dalley

CP-PACS and JLQCD collaborations are carrying out a joint project of the 2+1 flavor full QCD simulation. Gauge configurations are generated for the non-perturbatively $O(a)$-improved Wilson quark action and the Iwasaki gauge action using…

The 't Hooft model (two-dimensional QCD in the limit of large number of colors) is used as a testground for calculations of nonleptonic and semileptonic inclusive widths of heavy flavors based on the operator product expansion (OPE). The…

High Energy Physics - Phenomenology · Physics 2007-05-23 Arkady Vainshtein

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],…

High Energy Physics - Lattice · Physics 2007-05-23 Apoorva D. Patel , Raghunath Ratabole

In this second report on our recent numerical simulations of two-flavour QCD, we provide further technical details on the simulations and describe the methods we used to extract the meson masses and decay constants from the generated…

High Energy Physics - Lattice · Physics 2010-10-27 L. Del Debbio , L. Giusti , M. Lüscher , R. Petronzio , N. Tantalo

We present results for the spectrum of light and strange mesons on configurations with two flavors of mass-degenerate Chirally Improved sea quarks. The calculations are performed on seven ensembles of lattice size 16^3x32 at three different…

High Energy Physics - Lattice · Physics 2015-06-03 Georg P. Engel , C. B. Lang , Markus Limmer , Daniel Mohler , Andreas Schaefer

We study two $1/N_c$ effects on the meson spectra by using the AdS/CFT correspondence where the $1/N_c$ corrections from the chiral condensate and the quark density are controlled by the gravitational backreaction of the massive scalar…

High Energy Physics - Theory · Physics 2013-05-30 Chanyong Park , Bum-Hoon Lee , Sunyoung Shin

We use the AdS/CFT correspondence to compute the energy spectrum of heavy-light mesons in a N=2 SU(N) super Yang-Mills theory with two massive hypermultiplets. In the heavy quark limit, similar to QCD, we find that the excitation energies…

High Energy Physics - Theory · Physics 2009-01-06 Christopher P. Herzog , Stefan A. Stricker , Aleksi Vuorinen

This work is driven by our curiosity towards some basic questions in QCD: how is the energy of a moving hadron partitioned among different gauge-invariant sectors in QCD Hamiltonian? How is the energy of an massless pion separated between…

High Energy Physics - Phenomenology · Physics 2018-10-31 Yu Jia , Rui Yu , Xiaonu Xiong