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The structure of the hadron spectrum is discussed in connection with the main phenomena of nonperturbative QCD: confinement and chiral symmetry breaking (CSB). For the higher part of the spectrum ($M \ge 2 GeV$) spin and chiral effects are…

High Energy Physics - Phenomenology · Physics 2009-07-28 Yu. A. Simonov

Recently, an approximate $SU(4)$ chiral spin-flavour symmetry was observed in multiplet patterns of QCD meson correlation functions, in a temperature range above the chiral crossover. This symmetry is larger than the chiral symmetry of…

High Energy Physics - Lattice · Physics 2022-12-01 Owe Philipsen , Leonid Ya. Glozman , Peter Lowdon , Robert D. Pisarski

Dynamics of a light quark in the field of static source (heavy-light meson) is studied using the nonlinear Dirac equation, derived recently. Special attention is paid to the contribution of magnetic correlators and it is found that it…

High Energy Physics - Phenomenology · Physics 2009-10-31 Yu. A. Simonov , J. A. Tjon

We introduce a generalization of 1+1 dimensional large Nc QCD, which we refer to as ``reduced'' QCD, or rQCD. In this model gluons and quark momenta live in 1+1 dimensions only, but the quark spin and all other particles (leptons, and the…

Nuclear Theory · Physics 2009-11-10 Zoltan Batiz , Franz Gross

A simple translation between a standard representation of $\mathfrak{sl}_2\mathbb{C}$ and the complex-quaternions ($\mathbb{H}\otimes_\mathbb{R}\mathbb{C}$) is established and exploited to construct a novel hyper-complex description of the…

Quantum Physics · Physics 2026-04-21 James Henry Atwater , David Lambert , Yuri Rostovtsev

We present first evidence for the Landau level structure of Dirac eigenmodes in full QCD for nonzero background magnetic fields, based on first principles lattice simulations using staggered quarks. Our approach involves the identification…

High Energy Physics - Lattice · Physics 2017-10-25 F. Bruckmann , G. Endrodi , M. Giordano , S. D. Katz , T. G. Kovacs , F. Pittler , J. Wellnhofer

In his recent Comments E. Shuryak reiterates old, unfortunately misleading arguments in favor of deconfined Quark-Gluon Plasma (QGP) immediately above the chiral restoration pseudocritical temperature. In a Comment devoted to our view of…

High Energy Physics - Phenomenology · Physics 2019-09-17 L. Ya. Glozman

We perform a study of the non-perturbative dynamics of the light-quark sector of QCD, based on some recent results of lattice simulations with chiral fermions. We analyze some correlators that are designed to probe the Dirac structure of…

High Energy Physics - Phenomenology · Physics 2009-11-10 Pietro Faccioli , Thomas A. DeGrand

The structure of spin and isospin is analyzed. Although both spin and isospin are related to the same SU(2) group, they represent different dynamical effects. The Wigner-Racah algebra is used for providing a description of bound states of…

General Physics · Physics 2011-07-26 E. Comay

The axially symmetric $U(1)$ gauged self-interacting Q-balls are shown to support normalizable fermionic bound state, minimally coupled to the electromagnetic field of the Q-ball. It is shown that the effects of the backreaction of the…

High Energy Physics - Theory · Physics 2025-02-11 Vladimir Dzhunushaliev , Vladimir Folomeev , Yakov Shnir

Quantum Chromodynamics (QCD) is the fundamental theory describing quark interactions, and various quark models based on QCD have been widely used to study the properties of hadrons, including their structures and mass spectra. However,…

High Energy Physics - Phenomenology · Physics 2026-01-13 ZhiGuang Tan , YouNeng Guo , ShengJie Wang , Hua Zheng

Field distributions generated by static quark-antiquark and QQQ sources are calculated analytically in the framework of Gaussian (bilocal) approximation of Field Correlator Method (FCM). Special attention is paid to the QQQ system and…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. S. Kuzmenko , Yu. A. Simonov

We discus the role of QCD (Quantum Chromodynamics) to low energy phenomena involving the color-spin symmetry of the quark model. We then combine it with orbital and isospin symmetry to obtain wave functions with the proper permutation…

High Energy Physics - Phenomenology · Physics 2019-05-01 J. D. Vergados , D. Strottman

In the context of some deformed canonical commutation relations leading to isotropic nonzero minimal uncertainties in the position coordinates, a Dirac equation is exactly solved for the first time, namely that corresponding to the Dirac…

Mathematical Physics · Physics 2009-11-10 C. Quesne , V. M. Tkachuk

We present a study of the QCD interactions which do not conserve the chirality of quarks. These non-perturbative forces are responsible for the violation of the U_A(1) charge conservation and for the breaking of chiral symmetry. From a…

High Energy Physics - Phenomenology · Physics 2007-05-23 P. Faccioli

We calculate the dynamically generated up quark mass in some QCD-like theories with $F=3$ light flavors, obtained from supersymmetric QCD perturbed via anomaly mediated supersymmetry breaking. We match the low-energy effective theory to the…

High Energy Physics - Phenomenology · Physics 2025-05-14 Csaba Csáki , Tuhin S. Roy , Maximilian Ruhdorfer , Taewook Youn

The non-perturbative quark-gluon interaction depends significantly on the value of the quark mass. In particular, in the light quark mass regime, correlations are strongly influenced by dynamics associated to chiral symmetry breaking. We…

High Energy Physics - Lattice · Physics 2008-11-26 M. Cristoforetti , P. Faccioli , M. Traini , J. W. Negele

We present simulation results for lattice QCD with chiral fermions in small volumes, where the epsilon-expansion of chiral perturbation theory applies. Our data for the low lying Dirac eigenvalues, as well as mesonic correlation functions,…

High Energy Physics - Lattice · Physics 2009-11-11 W. Bietenholz , T. Chiarappa , K. Jansen , K. -I. Nagai , S. Shcheredin

For a complete description of the physical properties of low-energy QCD, it might be advantageous to first reformulate QCD in terms of gauge-invariant dynamical variables, before applying any approximation schemes. Using a canonical…

High Energy Physics - Theory · Physics 2013-03-18 Hans-Peter Pavel

We have computed the low energy quantum states and low frequency dynamical susceptibility of complex quantum spin systems in the limit of strong interactions, obtaining exact results for system sizes enormously larger than accessible…

Statistical Mechanics · Physics 2007-05-23 J. W. Landry , S. N. Coppersmith
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