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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

We study the gauge-invariant gaussian ansatz for the vacuum wave functional and show that it potentially possesses many desirable features of the Yang--Mills theory, like asymptotic freedom, mass generation through the transmutation of…

High Energy Physics - Theory · Physics 2015-06-26 Dmitri Diakonov

We study analytically and numerically the three-dimensional U(1) lattice gauge theory at finite temperature in the dual formulation. For an appropriate disorder operator, we obtain the renormalization group equations describing the critical…

High Energy Physics - Lattice · Physics 2015-07-06 Oleg Borisenko , Volodymyr Chelnokov , Mario Gravina , Alessandro Papa

Starting from the strong-coupling SU(2) Wilson action in D=3 dimensions, we derive an effective, semi-local action on a lattice of spacing L times the spacing of the original lattice. It is shown that beyond the adjoint color-screening…

High Energy Physics - Lattice · Physics 2009-10-31 M. Faber , J. Greensite , S. Olejnik

We investigate the relationship between colour confinement and topological structures derived from the gauge invariant Abelian (Cho-Duan-Ge) decomposition. This Abelian decomposition is made imposing an isometry on a colour field $n$ which…

High Energy Physics - Lattice · Physics 2014-01-21 Nigel Cundy , Y. M. Cho , Weonjong Lee , Jaehoon Leem

We show that in general abelian projection of lattice gluodynamics it is not only monopoles but also strings are present. Both these topological excitations may be responsible for the confinement of color. We illustrate our ideas by some…

High Energy Physics - Lattice · Physics 2010-05-27 M. N. Chernodub , M. I. Polikarpov , M. A. Zubkov

We study the three dimensional fundamental-adjoint $SU(2)$ lattice gauge theory at finite temperature by Monte Carlo simulations. We find that the finite temperature deconfinement phase transition line joins the first order bulk phase…

High Energy Physics - Lattice · Physics 2009-10-22 Rajiv V. Gavai , Michael Grady , Manu Mathur

Confinement of quarks due to the strong interaction and the deconfinement at high temperatures and high densities are a basic paradigm for understanding the nuclear matter. Their simulation, however, is very challenging for classical…

Quantum Physics · Physics 2024-02-21 Xu-Dan Xie , Xingyu Guo , Hongxi Xing , Zheng-Yuan Xue , Dan-Bo Zhang , Shi-Liang Zhu

The dual superconductivity is a promising mechanism for quark confinement. We proposed the non-Abelian dual superconductivity picture for SU(3) Yang-Mills theory, and demonstrated the restricted field dominance (called conventionally…

High Energy Physics - Lattice · Physics 2014-03-18 Akihiro Shibata , Kei-Ichi Kondo , Seikou Kato , Toru Shinohara

We investigate the finite-temperature excitation spectrum in the gluon sector of $SU(3)$ pure gauge theory through measurements of screening masses in correlations of loop operators. We develop the classification of such operators under the…

High Energy Physics - Lattice · Physics 2009-10-22 B. Grossman , Sourendu Gupta , U. M. Heller , F. Karsch

An ab initio calculation of nuclear physics from Quantum Chromodynamics (QCD), the fundamental SU(3) gauge theory of the strong interaction, remains an outstanding challenge. Here, we discuss the emergence of key elements of nuclear physics…

Quantum Gases · Physics 2018-05-17 E. Rico , M. Dalmonte , P. Zoller , D. Banerjee , M. Bogli , P. Stebler , U. -J. Wiese

We show that the Casimir effect may lead to a deconfinement phase transition induced by the presence of boundaries in confining gauge theories. Using first-principle numerical simulations we demonstrate this phenomenon in the simplest case…

High Energy Physics - Lattice · Physics 2017-11-22 M. N. Chernodub , V. A. Goy , A. V. Molochkov

In this paper we investigate the influence of a constant external magnetic field on the finite-temperature phase structure and the chiral properties of a simplified lattice model for QCD. We assume an SU(2) gauge symmetry and employ…

High Energy Physics - Lattice · Physics 2012-06-15 E. -M. Ilgenfritz , M. Kalinowski , M. Muller-Preussker , B. Petersson , A. Schreiber

We calculate the deconfining temperature of SO(N) gauge theories in 2+1 dimensions, and determine the order of the phase transition as a function of N, for various values of N in the range [4,16]. We do so by extrapolating our lattice…

High Energy Physics - Lattice · Physics 2016-04-20 Richard Lau , Michael Teper

To investigate ultracold fermionic atoms of three internal states (colors) in an optical lattice, subject to strong attractive interaction, we study the attractive three-color Hubbard model in infinite dimensions by using a variational…

Superconductivity · Physics 2008-04-24 Akos Rapp , Walter Hofstetter , Gergely Zarand

We outline the steps in a derivation of the statement that the SU(2) gauge theory is in a confining phase for all values of the coupling, $0 < \beta <\infty$, defined at lattice spacing a. The approach employed is to obtain both upper and…

High Energy Physics - Lattice · Physics 2009-11-10 E. T. Tomboulis

The Axial Magnetic Effect is the generation of an equilibrium dissipationless energy flow of chiral fermions in the direction of the axial (chiral) magnetic field. At finite temperature the dissipationless energy transfer may be realized in…

High Energy Physics - Lattice · Physics 2014-04-23 V. Braguta , M. N. Chernodub , V. A. Goy , K. Landsteiner , A. V. Molochkov , M. I. Polikarpov

We propose that, in SU(3) gauge theories with fundamental quarks, confinement can be inferred from spectral density of the Dirac operator. This stems from the proposition that its possible behaviors are exhausted by three distinct types…

High Energy Physics - Lattice · Physics 2015-09-02 Andrei Alexandru , Ivan Horváth

The free energy of U(N) and SU(N) gauge theory was recently found to be of order N^0 to all orders of a perturbative expansion about a center-symmetric orbit of vanishing curvature. Here I consider extended models for which this expansion…

High Energy Physics - Theory · Physics 2009-11-11 Martin Schaden

SU(2) Yang-Mills theory at finite extension or, equivalently, at finite temperature is probed by a homogeneous chromomagnetic field. We use a recent modified axial gauge formulation which has the novel feature of respecting the center…

High Energy Physics - Phenomenology · Physics 2009-10-30 V. L. Eletsky , A. C. Kalloniatis , F. Lenz , M. Thies
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