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In this paper we continue the development of a model for strong interactions at high energy, based on two ingredients: CGC/saturation approach and the BFKL Pomeron. In our approach, the unknown mechanism of confinement of quarks and gluons,…

High Energy Physics - Phenomenology · Physics 2015-05-20 E. Gotsman , E. Levin , U. Maor

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

We discuss how the presence of a squeezed gluon vacuum might lead to quark confinement in the framework of the global colour model of QCD. Using reduced phase space quantization of massive vector theory we construct a Lorentz invariant and…

High Energy Physics - Phenomenology · Physics 2009-10-30 H. -P. Pavel , D. Blaschke , G. Röpke , V. N. Pervushin

Using the formalism of generalized fractional derivatives, a two-dimensional non-relativistic meson system is studied. The mesons are interacting by a Cornell potential. The system is formulated in the domain of the symplectic quantum…

High Energy Physics - Phenomenology · Physics 2024-01-17 M. Abu-Shady , R. R. Luz , G. X. A. Petronilo , A. E. Santana , R. G. G. Amorim

In a QCD-like strongly coupled gauge theory at large N_c, using the AdS/CFT correspondence, we find that heavy quark deconfinement is accompanied by a coherent condensation of higher meson resonances. This is revealed in non-equilibrium…

High Energy Physics - Theory · Physics 2015-06-11 Koji Hashimoto , Shunichiro Kinoshita , Keiju Murata , Takashi Oka

The confinement of quarks is one of the enduring mysteries of modern physics. There is a longstanding physics heuristic that confinement is a consequence of `unbroken center symmetry'. This article gives mathematical confirmation of this…

Probability · Mathematics 2021-05-05 Sourav Chatterjee

We compute the magnetic susceptibility of the quark condensate and the polarization of quarks at zero temperature and in a uniform magnetic background. Our theoretical framework consists of two chiral models that allow to treat…

High Energy Physics - Phenomenology · Physics 2011-07-06 Marco Frasca , Marco Ruggieri

Chemically non-equilibrated quark-antiquark matter is studied within the Nambu-Jona-Lasinio model. The equations of state of non-strange (q=u,d) and strange (q=s) quark-antiquark systems are calculated in the mean-field approximation. The…

High Energy Physics - Phenomenology · Physics 2009-10-31 I. N. Mishustin , L. M. Satarov , H. Stoecker , W. Greiner

The quantum correlations of $N$ noninteracting spinless fermions in their ground state can be expressed in terms of a two-point function called the kernel. Here we develop a general and compact method for computing the kernel in a general…

Statistical Mechanics · Physics 2021-03-05 David S. Dean , Pierre Le Doussal , Satya N. Majumdar , Gregory Schehr , Naftali R. Smith

In QCD at high density, the color-octet quark-antiquark condensate $\langle\overline\psi\gamma_0(\lambda^A)_C (\lambda^A)_F\psi\rangle$ is generally nonzero and dynamically breaks the $\mathrm{SU}(3)_C\times…

High Energy Physics - Theory · Physics 2020-07-02 Takuya Kanazawa

The grand partition function of a model of confined quarks is exactly calculated at arbitrary temperatures and quark chemical potentials. The model is inspired by a softly BRST-broken version of QCD and possesses a quark mass function…

High Energy Physics - Phenomenology · Physics 2015-10-28 M. S. Guimaraes , B. W. Mintz , L. F. Palhares

We give a new criterion of quark confinement/deconfinement by deriving a low-energy effective theory of QCD. The effective theory can explain Abelian dominance in low-energy physics of QCD, especially, quark confinement. Finally, we apply…

High Energy Physics - Theory · Physics 2007-05-23 Kei-Ichi Kondo

The dual superconductivity is a promising mechanism for quark confinement. We have presented a new formulation of the Yang-Mills theory on the lattice that enables us to change the original non-Abelian gauge field into the new field…

High Energy Physics - Lattice · Physics 2017-01-16 Akihiro Shibata , Kei-Ichi Kondo , Seikou Kato , Toru Shinohara

We consider a five-dimensional model in which fermions are confined in a hypersurface due to an interaction with a purely geometric field. Inspired by the Rubakov-Shaposhnikov field-theoretical model, in which massless fermions can be…

General Relativity and Quantum Cosmology · Physics 2015-05-27 C. Romero , J. B. Formiga , C. Dariescu

In this work it will be shown how quark confinement appears when wave equations derived in curved spaces are considered. First, the equations and their solutions for Coulomb-like potentials will be presented, and then, how this theory leads…

High Energy Physics - Phenomenology · Physics 2009-01-07 Celso de Camargo Barros

It is usual to study confinement via quantum chromodynamics (QCD) alone. The deconfinement transition of the pure gauge theory (i.e. with static quarks) is then characterized by the breaking of center symmetry. Center vortices offer an…

High Energy Physics - Lattice · Physics 2015-03-17 Sam R. Edwards , André Sternbeck , Lorenz von Smekal

We construct a fermionic lattice model containing interacting spin-$\frac{1}{2}$ fermions with an $O(4)$ symmetry. In addition the model contains a $\mathbb{Z}_2$ chiral symmetry which prevents a fermion mass term. Our model is motivated by…

High Energy Physics - Lattice · Physics 2019-12-25 Hanqing Liu

We investigate the properties of charge-neutral $\beta$-equilibrium cold quark matter within the Nambu-Jona-Lasinio model. The calculations are carried out for different ratios of coupling constants characterizing the vector and scalar…

Astrophysics · Physics 2009-11-06 M. Hanauske , L. M. Satarov , I. N. Mishustin , H. Stoecker , W. Greiner

We show that at the leading order in the large-$N$ expansion a lattice QCD motivated linear rising confinement potential at large distances leads to a non-local four-quark interaction that realizes spontaneous breaking of chiral symmetry…

High Energy Physics - Phenomenology · Physics 2008-02-03 A. N. Ivanov , N. I. Troitskaya , M. Faber , M. Schaler , M. Nagy

We present a novel relativistic density-functional approach to modeling quark matter with a mechanism to mimic confinement. The quasiparticle treatment of quarks provides their suppression due to large quark selfenergy already at the…

Nuclear Theory · Physics 2022-04-05 Oleksii Ivanytskyi , David Blaschke , Konstantin Maslov