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Quantum confinement is studied by numerically solving time-dependent Schr\"odinger equation. An imaginary-time evolution technique is employed in conjunction with the minimization of an expectation value, to reach the global minimum.…

Quantum Physics · Physics 2018-01-31 Amlan K. Roy

Grid states form a discrete set of mixed quantum states that can be described by graphs. We characterize the entanglement properties of these states and provide methods to evaluate entanglement criteria for grid states in a graphical way.…

Quantum Physics · Physics 2018-08-28 Joshua Lockhart , Otfried Gühne , Simone Severini

Observations of new charmonium(-like) and bottomonium(-like) states (sometimes refered to as "XYZ" states) at e+e- colliders have changed our picture of quarkonia systems as QCD bound states. Potential models with a linear confinement…

High Energy Physics - Experiment · Physics 2015-03-20 Jens Soeren Lange

Two-dimensional QED with $N$ flavor fermions is solved at zero and finite temperature with arbitrary fermion masses to explore QCD physics such as chiral condensate and string tension. The problem is reduced to solving a Schr\"odinger…

High Energy Physics - Theory · Physics 2007-05-23 Y. Hosotani , R. Rodriguez , J. E. Hetrick , S. Iso

We study the equilibrium thermodynamics of a simple, confining, DSE-model of 2-flavour QCD at finite temperature and chemical potential. The model has two phases: one characterised by confinement and dynamical chiral symmetry breaking; and…

Nuclear Theory · Physics 2010-03-04 D. Blaschke , C. D. Roberts , S. Schmidt

We show that confinement of spinless heavy quarks in fundamental representation of $SU(N_{c})$ gauge group can be treated as decoherence of pure colour state into a white mixture of states. Decoherence rate is found to be proportional to…

High Energy Physics - Theory · Physics 2007-05-23 P. V. Buividovich , V. I. Kuvshinov

Bound states of heavy $\bar{q}q$ quarks are reviewed within the context of QCD, paying attention to what can be derived from the theory with a reasonable degree of rigour. This is compared with the results of semiclassical arguments. Among…

High Energy Physics - Phenomenology · Physics 2011-01-25 F. J. Yndurain

We discuss the spectrum of the three dimensional phi^4 theory in the broken symmetry phase. In this phase the effective potential between the elementary quanta of the model is attractive and bound states of two or more of them may exist. We…

High Energy Physics - Theory · Physics 2009-10-31 M. Caselle , M. Hasenbusch , P. Provero , K. Zarembo

We discuss a model for the relativistic bound states of 3-quark baryons based on confining quantum chromoynamics (QCD) with general Yang-Mills symmetry. The model postulates that 3-quark states are formed by consecutive 2-body collisions.…

General Physics · Physics 2025-05-19 Jong-Ping Hsu , Leonardo Hsu

We discuss the bound states of the massive Thirring model. Here, the periodic boundary condition equations for the Bethe ansatz solutions are numerically solved. It is found that the massive Thirring model has only one bound state and the…

High Energy Physics - Theory · Physics 2007-05-23 Takehisa Fujita , Makoto Hiramoto , Hidenori Takahashi

The quark potential model and resonating group method are used to investigate the $\bar{K}N$ bound states and/or resonances. The model potential consists of the t-channel and s-channel one-gluon exchange potentials and the confining…

High Energy Physics - Phenomenology · Physics 2009-11-11 Hai-Jhun Wanng , Jun-Chen Su

The role of edge states in phenomena like the quantum Hall effect is well known. In this paper we show how the choice of boundary conditions for a one-particle Schr\"odinger equation can give rise to states localized at the edge of the…

High Energy Physics - Theory · Physics 2009-10-28 V. John , G. Jungman , S. Vaidya

QCD-like theories can be engineered to remain in a confined phase when compactified on an arbitrarily small circle, where their features may be studied quantitatively in a controlled fashion. Previous work has elucidated the generation of a…

High Energy Physics - Theory · Physics 2017-12-06 Kyle Aitken , Aleksey Cherman , Erich Poppitz , Laurence G. Yaffe

We suggest a physical definition of the confinement mass scale in QCD in the framework of non-perturbative, gauge invariant QCD, where all possible gluons exchanged between any pair of quark lines are included; and we insist that a stable,…

High Energy Physics - Phenomenology · Physics 2015-11-19 H. M. Fried , P. H. Tsang

In this study, the spectroscopic parameters of the exotic molecular states composed of mesons containing two heavy quarks (scalar-axial and pseudoscalar-axial meson combinations) are investigated within QCD sum rules. Our findings reveal…

High Energy Physics - Phenomenology · Physics 2024-03-05 T. M. Aliev , S. Bilmis , M. Savci

We construct an effective model for the QCD equation of state, taking into account chiral symmetry restoration as well as the deconfinement phase transition. The correct asymptotic degrees of freedom at the high and low temperature limits…

High Energy Physics - Phenomenology · Physics 2011-01-28 J. Steinheimer , S. Schramm , H. Stöcker

We solve the one-dimensional Schr\"odinger equation for the bound states of two potential models with a rich structure as shown by their "spectral phase diagram". These potentials do not belong to the well-known class of exactly solvable…

Quantum Physics · Physics 2022-09-09 A. D. Alhaidari , I. A. Assi

We briefly review some examples of confinement which arise in condensed matter physics. We focus on two instructive cases: the off-critical Ising model in a magnetic field, and an array of weakly coupled (extended) Hubbard chains in the…

Strongly Correlated Electrons · Physics 2016-11-23 M. J. Bhaseen , A. M. Tsvelik

We study an extended QCD model in 2D obtained from QCD in 4D by compactifying two spatial dimensions and projecting onto the zero-mode subspace. This system is found to induce a dynamical mass for transverse gluons -- adjoint scalars in…

High Energy Physics - Theory · Physics 2007-05-23 Pedro Labrana , Jorge Alfaro , Alexander A. Andrianov

We study aspects of confinement in the M theory fivebrane version of QCD (MQCD). We show heavy quarks are confined in hadrons (which take the form of membrane-fivebrane bound states) for N=1 and softly broken N=2 SU(Nc) MQCD. We explore and…

High Energy Physics - Theory · Physics 2014-11-18 Amihay Hanany , Matthew J. Strassler , Alberto Zaffaroni