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Related papers: Non-Integrability of Two-Dimensional QCD

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We give best covariant amplitude decompositions for two-body decay processes involving ground state hadrons ($0^-, 1^-, {1/2}^+, {3/2}^+$) and show how these are simply related to helicity amplitudes. After discussing how electromagnetic…

High Energy Physics - Phenomenology · Physics 2007-05-23 R Delbourgo , Dongsheng Liu

From a 2-parametric deformation of the harmonic oscillator algebra we construct a 4-point dual amplitude with nonlinear trajectories. The earlier versions of the q-deformed dual models are reproduced as limiting cases of the present model.

High Energy Physics - Theory · Physics 2009-10-28 L. Jenkovszky , M. Kibler , A. Mishchenko

We study the Cauchy problem for systems of cubic nonlinear Klein-Gordon equations with different masses in one space dimension. Under a suitable structural condition on the nonlinearity, we will show that the solution exists globally and…

Analysis of PDEs · Mathematics 2016-02-11 Donghyun Kim

This thesis discusses the worldsheet geometries in the (p,q) minimal model coupled to 2D euclidean Quantum Gravity with particular focus on non-compact geometries. We first calculate the FZZT-FZZT cylinder amplitudes for all pairs of Cardy…

High Energy Physics - Theory · Physics 2010-10-26 Jens A. Gesser

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…

High Energy Physics - Theory · Physics 2025-04-17 Alexey Litvinov , Pavel Meshcheriakov

We report on the calculation of the two-loop penguin amplitudes in non-leptonic B decays in the framework of QCD factorization. We discuss the computation of this genuine two-loop, two-scale problem and provide details on the matching from…

High Energy Physics - Phenomenology · Physics 2019-12-19 Guido Bell , Martin Beneke , Tobias Huber , Xin-Qiang Li

QCD sum rules are used to estimate the flavour SU(3)-symmetry violation in two-body B decays to pions and kaons. In the factorizable amplitudes the SU(3)-violation manifests itself in the ratio of the decay constants f_K/f_pi and in the…

High Energy Physics - Phenomenology · Physics 2009-11-10 Alexander Khodjamirian , Thomas Mannel , Martin Melcher

We perform a lattice QCD study of the $\rho$ meson decay from the $N_f=2+1$ full QCD configurations generated with a renormalization group improved gauge action and a non-perturbatively $O(a)$-improved Wilson fermion action. The resonance…

High Energy Physics - Lattice · Physics 2011-11-03 N. Ishizuka , for PACS-CS Collaboration

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…

High Energy Physics - Lattice · Physics 2025-12-10 Claudio Bonanno , Margarita García Pérez , Antonio González-Arroyo , Ken-Ichi Ishikawa , Masanori Okawa

We determine the QCD equation of state at nonzero temperature in the presence of an isospin asymmetry between the light quark chemical potentials on the lattice. Our simulations employ $N_f=2+1$ flavors of dynamical staggered quarks at…

High Energy Physics - Lattice · Physics 2023-08-01 Bastian B. Brandt , Francesca Cuteri , Gergely Endrodi

We review a nonlocal-condensate approach and its application in QCD sum rules for the spacelike electromagnetic pion form factor. It is shown that the nonlocality of the condensates is a key point to include nonperturbative contributions to…

High Energy Physics - Phenomenology · Physics 2010-12-24 A. V. Pimikov , A. P. Bakulev , N. G. Stefanis

We present an investigation of the pion's electromagnetic form factor F_{\pi}(Q^2) in the spacelike region utilizing two new ingredients: (i) a double-humped, endpoint-suppressed pion distribution amplitude derived before via QCD sum rules…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. P. Bakulev , K. Passek-Kumerički , W. Schroers , N. G. Stefanis

We show that, under a reasonable "smoothness" hypothesis, it is possible to extract informations on the amplitude and phase of two-body non-leptonic weak decay matrix elements from the study of Euclidean correlation functions in lattice…

High Energy Physics - Phenomenology · Physics 2009-10-28 L. Silvestrini

The self-field approach to quantum electrodynamics (QED) is used to study the bound state problem in light-front two-dimensional QED with massive matter fields. A composite matter field describing bound states is introduced and the…

High Energy Physics - Theory · Physics 2009-10-31 Fuad M. Saradzhev

We discuss the quantization of the energy levels of two-particle scattering states in a finite volume in the case of Bloch-type boundary conditions. A generalization of the Luescher quantization condition is obtained that can be used in…

High Energy Physics - Lattice · Physics 2007-05-23 Giulia M. de Divitiis , Nazario Tantalo

A bosonized action, that reproduces the structure of the 't Hooft equation for $QCD_2$ in the large-$N$ limit, up to regularization dependent terms, is derived.

High Energy Physics - Theory · Physics 2009-10-28 Marco Bochicchio

We estimate the potential size of the weak annihilation amplitudes in QCD factorization as allowed by experimental data. To achieve this goal, we establish a connection between the amplitudes in the QCD factorization and the so-called…

High Energy Physics - Phenomenology · Physics 2022-04-08 Tobias Huber , Gilberto Tetlalmatzi-Xolocotzi

Many analyses of two-body non-leptonic decays of $D$-mesons rely on flavor SU(3) symmetry relations and fits of experimental data of decays rates to extract the universal transition amplitudes. Such fits assume that the final state mesons…

High Energy Physics - Phenomenology · Physics 2025-01-03 Girish Kumar , Sudheer Muhammad , Alexey A. Petrov

Using the integrability conditions that we recently obtained in QCD$_2$ with massless fermions, we arrive at a sufficient number of conservation laws to be able to fix the scattering amplitudes involving a local version of the Wilson loop…

High Energy Physics - Theory · Physics 2009-10-28 E. Abdalla , M. C. B. Abdalla

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
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