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Related papers: On the Dirac Structure of Confinement

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Quarkonia are the central objects to explore the non-perturbative nature of non-abelian gauge theories. We describe the confinement-deconfinement phases for heavy quarkonia in a hot QCD medium and thereby the statistical nature of the…

High Energy Physics - Theory · Physics 2012-03-22 Stefano Bellucci , Vinod Chandra , Bhupendra Nath Tiwari

This letter is about confinement in QCD. At the moment we have pictures of confinement to complete our understanding of the physics of strongly interacting particles, interaction which asks for confinement. As it is said in [1] : " In…

High Energy Physics - Theory · Physics 2025-02-19 J. L. Alonso , C. Bouthelier-Madre , J. Clemente-Gallardo , D. Martínez-Crespo

Dynamical chiral symmetry breaking is a nonperturbative phenomenon that may be studied using QCD's gap equation. Model-independent results can be obtained with a nonperturbative and symmetry preserving truncation. The gap equation yields…

Nuclear Theory · Physics 2017-08-23 C. D. Roberts

We update our numerical investigation of topological structures around static quarks in pure gauge QCD by results of the first runs including dynamical quarks. Simulations were performed on an $8^3\times4$ lattice, with $SU(3)$ Wilson…

High Energy Physics - Lattice · Physics 2008-11-26 M. Faber , H. Markum , S. Olejnik , W. Sakuler

Using the mechanism of spontaneous symmetry breaking of scale invariance obtained from the dynamics of maximal rank field strengths, it is possible to spontaneously generate confining behavior. Introducing a dilaton field, the study of non…

High Energy Physics - Theory · Physics 2008-11-26 E. I. Guendelman

We analyze the vacuum structure of SU(2) QCD with multiple massless adjoint representation fermions formulated on a small spatial $S^1 \times \R^3$. The absence of thermal fluctuations, and the fact that quantum fluctuations favoring the…

High Energy Physics - Theory · Physics 2008-11-26 Mithat Unsal

Classical conformal invariance of QCD in the chiral limit is broken explicitly by scale anomaly. As a result, the lightest scalar particle (scalar glueball, or dilaton) in QCD is not light, and cannot be described as a Goldstone boson.…

High Energy Physics - Phenomenology · Physics 2015-05-13 Dmitri Kharzeev , Eugene Levin , Kirill Tuchin

In "A Theory of Quantum Space-time" we constructed a form of field theory in which Feynman diagrams describe real particle interactions, not virtual ones. In this paper we outline a theory of discrete interactions based on hadron field…

General Physics · Physics 2007-05-23 Charles Francis

The strong interaction is the fundamental force that holds quarks and the gluon force carriers together to form protons and neutrons and also binds the atomic nucleus. The theory governing quark-gluon interactions is Quantum Chromodynamics…

High Energy Physics - Phenomenology · Physics 2026-05-04 Xiangdong Ji , Gerald A. Miller , Chen Yang

The conventional Kibble-Zurek mechanism and the finite-time scaling provide universal descriptions of the driven critical dynamics from gapped initial states based on the adiabatic-impulse scenario. Here we investigate the driven critical…

Strongly Correlated Electrons · Physics 2025-07-22 Zhi Zeng , Yin-Kai Yu , Zhi-Xuan Li , Zi-Xiang Li , Shuai Yin

We investigate the quark number density at finite imaginary chemical potential by using the Dirac-mode expansion. In the large quark mass region, it is found that the quark number density can be expressed by the Polyakov loop and its…

High Energy Physics - Lattice · Physics 2017-06-05 Takahiro M. Doi , Kouji Kashiwa

A qualitative mechanism for the emergence of domain structured background gluon fields due to singularities in gauge field configurations is considered, and a model displaying a type of mean field approximation to the QCD partition function…

High Energy Physics - Phenomenology · Physics 2009-11-07 Alex C. Kalloniatis , Sergei N. Nedelko

We estimate the strength of interaction-enhanced coherence between two graphene or topological insulator surface-state layers by solving imaginary-axis gap equations in the random phase approximation. Using a self-consistent treatment of…

Mesoscale and Nanoscale Physics · Physics 2012-05-23 Inti Sodemann , D. A. Pesin , A. H. MacDonald

At a critical temperature QCD in the chiral limit undergoes a chiral restoration phase transition. Above the phase transition the quark condensate vanishes. The Banks-Casher relation connects the quark condensate to a density of the…

High Energy Physics - Phenomenology · Physics 2016-12-28 L. Ya. Glozman

We study the confinement of charged Dirac particles in 3+1 space-time due to the presence of a constant and tilted magnetic field. We focus on the nature of the solutions of the Dirac equation and on how they depend on the choice of vector…

High Energy Physics - Theory · Physics 2022-06-22 Abdulaziz D. Alhaidari , Hocine Bahlouli , Ahmed Jellal

The properties of the ground state wavefunctional in gluodynamics responsible for confinement are considered. It is shown that confinement arises due to the generation of a mass gap in the averaging over the gauge group which is necessary…

High Energy Physics - Theory · Physics 2009-10-30 K. Zarembo

Following a recently proposed confinement generating scenario \cite{Di}, we provide a new string inspired model with a massive dilaton and a general dilaton-gluon coupling. By solving analytically the equations of motion, we derive a new…

High Energy Physics - Theory · Physics 2016-09-06 Mohamed Chabab , Latifa Sanhaji

The interquark potential is constructed by making use of the new analytic running coupling in QCD. This running coupling arises under ``analytization'' of the renormalization group equation. The rising behavior of the interquark potential…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Nesterenko

We investigate nonlinear Dirac equations on a periodic quantum graph $G$ and develop a variational approach to the existence and multiplicity of bound states. After introducing the Dirac operator on $G$ with a $\mathbb Z^{d}$-periodic…

Analysis of PDEs · Mathematics 2026-02-02 Zhipeng Yang , Ling Zhu

Generalizing a covariant framework previously developed, it is shown that confinement insures that meson $\to q+\bar{q}$ decay amplitudes vanish when both quarks are on-shell. Regularization of singularities in a covariant linear potential…

High Energy Physics - Phenomenology · Physics 2007-05-23 Cetin Savkli , Franz Gross