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All colored particles including dynamical quarks and gluons are confined if the color confinement criterion proposed by Kugo and Ojima is satisfied. The criterion was obtained under the gauge fixing of the Lorenz type. However, it was…

High Energy Physics - Theory · Physics 2022-05-25 Kei-Ichi Kondo , Naoki Fukushima

In this paper, we present a holographic realization of spontaneous chiral symmetry breaking and confinement. The latter is realized by building a solution of 5d Einstein-dilaton gravity leading to a confining quark antiquark potential. The…

High Energy Physics - Phenomenology · Physics 2023-08-16 Alfonso Ballon-Bayona , Tobias Frederico , Luis A. H. Mamani , Wayne de Paula

We discuss the stability of strangelets -- quark droplets with strangeness -- in the Nambu--Jona-Lasinio model supplemented by a boundary condition for quark confinement. Effects of dynamical chiral symmetry breaking are considered properly…

High Energy Physics - Phenomenology · Physics 2009-11-11 S. Yasui , A. Hosaka

We start with the relation between the chiral symmetry breaking and gauge field topology. New lattice result further enhance the notion of Zero Mode Zone, a very narrow strip of states with quasizero Dirac eigenvalues. Then we move to the…

Nuclear Theory · Physics 2015-06-18 Edward Shuryak

We study the Gaussian approximation to the quantum fluctuations of the metric of the four dimensional anti-De Sitter spacetime. The associated massless scalar field has a quartic self interaction, for which we construct the generating…

General Physics · Physics 2021-10-29 H. A. Camargo , E. J. Gonzalez de Urreta , M. Socolovsky

We study the relativistic quark-antiquark system embedded in magnetic field (MF). The Hamiltonian containing confinement, color Coulomb and spin-spin interaction is derived. We analytically follow the evolution of the lowest neutral meson…

High Energy Physics - Phenomenology · Physics 2012-10-08 Yu. A. Simonov , B. O. Kerbikov , M. A. Andreichikov

The quark-antiquark potential and the chromoelectric fields generated by ``quarks'' in the adjoint representation of SU(2) color are analyzed in the scaling region of the theory. New results with interesting implications for our…

High Energy Physics - Lattice · Physics 2009-10-28 Howard D. Trottier

In this work we present the results from numerical simulations of an interacting ensemble of instanton-dyons in the $SU(3)$ gauge group with $N_f=2$ flavors of massless quarks. Dynamical quarks are included via the effective interactions…

High Energy Physics - Phenomenology · Physics 2021-12-01 Dallas DeMartini , Edward Shuryak

The partial restoration of chiral symmetry in nuclear medium is investigated in a model independent way by exploiting operator relations in QCD. An exact sum rule is derived for the quark condensate valid for all density. This sum rule is…

Nuclear Theory · Physics 2008-12-18 D. Jido , T. Hatsuda , T. Kunihiro

An effective Lagrangian for the light quark in the field of a static source is derived systematically using the exact field correlator expansion. The lowest Gaussian term is bosonized using nonlocal colorless bosonic fields and a general…

High Energy Physics - Phenomenology · Physics 2014-11-17 Yu. A. Simonov

The light quark propagation in the confining vacuum, described by an (infinite) set of gauge-invariant vacuum correlators, is studied in detail. To keep gauge invariance at each step the system of light quark and heavy antiquark is…

High Energy Physics - Phenomenology · Physics 2007-05-23 Yu. A. Simonov

The interaction between static quarks is derived by applying many-body techniques to QCD in Coulomb gauge. The result is shown to be exact in the IR and UV limits, and agrees remarkably well with lattice computations.

High Energy Physics - Phenomenology · Physics 2017-08-23 E. S. Swanson , A. P. Szczepaniak

We propose a model for the quark-antiquark interaction in Minkowski space using the Covariant Spectator Theory. We show that with an equal-weighted scalar-pseudoscalar structure for the confining part of our interaction kernel the…

High Energy Physics - Phenomenology · Physics 2016-08-08 Elmar P. Biernat , M. T. Peña , J. E. Ribeiro , A. Stadler , F. Gross

We consider the finite density, zero-temperature behaviour of quark matter in the instanton picture. Since the instanton-induced interactions are attractive in both $\bar{q}q$ and $qq$ channels, a competition ensues between phases of matter…

High Energy Physics - Phenomenology · Physics 2009-10-31 G. W. Carter , D. Diakonov

We investigate the vacuum realignment for chiral symmetry breaking and color superconductivity at finite density in Nambu-Jona-Lasinio model in a variational method. The treatment allows us to investigate simultaneous formation of…

High Energy Physics - Phenomenology · Physics 2009-11-10 Amruta Mishra , Hiranmaya Mishra

We establish that QED3 can possess a critical number of flavours, N_f^c, associated with dynamical chiral symmetry breaking if, and only if, the fermion wave function renormalisation and photon vacuum polarisation are homogeneous functions…

High Energy Physics - Phenomenology · Physics 2008-12-18 A. Bashir , A. Raya , I. C. Cloet , C. D. Roberts

In this paper we review some recent results on nonlocal interaction problems. The focus is on interaction kernels that are anisotropic variants of the classical Coulomb kernel. In other words, while preserving the same singularity at zero…

Analysis of PDEs · Mathematics 2026-01-14 Maria Giovanna Mora

In Quantum Chromodynamics (QCD) the eigenmodes of the Dirac operator with small absolute eigenvalues have a close relationship to the dynamical breaking of the chiral symmetry. In a simulation with two dynamical quarks, we study the…

High Energy Physics - Lattice · Physics 2015-03-19 C. B. Lang , Mario Schröck

At high temperatures, strongly interacting matter becomes a plasma of deconfined quarks and gluons. In statistical QCD, deconfinement and the properties of the resulting quark-gluon plasma can be investigated by studying the in-medium…

High Energy Physics - Phenomenology · Physics 2009-11-11 Helmut Satz