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We consider two fundamental long-standing problems in quantum chromodynamics (QCD): the origin of color confinement and structure of a true vacuum and color singlet quantum states. There is a common belief that resolution to these problems…

High Energy Physics - Theory · Physics 2020-12-21 D. G. Pak , Rong-Gen Cai , Takuya Tsukioka , Pengming Zhang , Yu-Feng Zhou

We have recently pointed out that color magnetic field is generated in dense quark matter, i.e. color ferromagnetic phase of quark matter. Using light cone quantization, we show that gluons occupying the lowest Landau level under the color…

High Energy Physics - Phenomenology · Physics 2007-05-23 Aiichi Iwazaki

We examine the phenomena of the chromomagnetic gluon condensation in the Yang-Mills theory and the problem of stability of the chromomagnetic vacuum fields. The apparent instability of the chromomagnetic vacuum fields is a result of…

High Energy Physics - Theory · Physics 2023-05-03 George Savvidy

The quark production in classical color fields is investigated with a focus on the induction of an electromagnetic current by produced quarks. We show that the color SU(2) and the SU(3) theories lead significantly different results for the…

High Energy Physics - Phenomenology · Physics 2016-01-20 Naoto Tanji

We investigate the distribution of energy-momentum tensor (EMT) around a static quark in the deconfined phase of SU(3) Yang-Mills theory. The EMT defined through the gradient-flow formalism is used for the numerical analysis of the EMT…

High Energy Physics - Lattice · Physics 2021-12-01 Masakiyo Kitazawa , Ryosuke Yanagihara , Masayuki Asakawa , Tetsuo Hatsuda

A multi-component electron model on a lattice is constructed whose ground state exhibits a spontaneous ordering which follows the rule of map-coloring used in the solution of the four color problem. The number of components is determined by…

Strongly Correlated Electrons · Physics 2007-05-23 Masanori Yamanaka , Akinori Tanaka

Artificial gauge fields, simulating real phenomenologies that unfold in a vast variety of systems, offer extraordinary possibilities to study extreme physical effects in many different environments, from high energy physics to quantum…

Color confinement is the most puzzling phenomenon in the theory of strong interaction based on a quantum SU(3) Yang-Mills theory. The origin of color confinement supposed to be intimately related to non-perturbative features of the…

High Energy Physics - Theory · Physics 2020-12-29 D. G. Pak , Takuya Tsukioka

In the present paper it is shown that the Yang-Mills equation can be represented as the equation of the non-linear electromagnetic waves superposition. The research of the topological characteristics of this representation allows us to…

High Energy Physics - Theory · Physics 2007-05-23 Alexander G. Kyriakos

The vacuum of Yang-Mills theory contains singular stringlike objects identified with center (magnetic) vortices. Percolation of magnetic vortices is known to be responsible for the color confinement in the low-temperature phase of the…

High Energy Physics - Lattice · Physics 2009-09-11 M. N. Chernodub , Atsushi Nakamura , V. I. Zakharov

Energy momentum tensor (EMT) characterizes the response of the vacuum as well as the thermal medium under the color electromagnetic fields. We define the EMT by means of the gradient flow formalism and study its spatial distribution around…

High Energy Physics - Lattice · Physics 2021-01-04 Ryosuke Yanagihara , Masakiyo Kitazawa , Masayuki Asakawa , Tetsuo Hatsuda

Starting with a Dirac operator on a configuration space of $SU(2)$ gauge connections we consider its fluctuations with inner automorphisms. We show that a certain type of twisted inner fluctuations leads to a Dirac operator whose square…

High Energy Physics - Theory · Physics 2025-01-03 Johannes Aastrup , Jesper M. Grimstrup

We extend a previous numerical study of SU(3) Yang-Mills theory in which we measured the spatial distribution of all components of the color fields surrounding a static quark-antiquark pair for a wide range of quark-antiquark separations,…

High Energy Physics - Lattice · Physics 2020-07-15 M. Baker , P. Cea , V. Chelnokov , L. Cosmai , F. Cuteri , A. Papa

In a classical field model involving extended dual electromagnetic fields quark-like particles are shown to have fractional charges and a confining energy that provides an asymptotically free spherical surface. A suggestion is made for…

High Energy Physics - Theory · Physics 2008-07-22 Harry Schiff

We derive supersymmetric quantum chromodynamics from a noncommutative manifold, using the spectral action principle of Chamseddine and Connes. After a review of the Einstein-Yang-Mills system in noncommutative geometry, we establish in full…

High Energy Physics - Theory · Physics 2011-03-22 Thijs van den Broek , Walter D. van Suijlekom

We obtain static gauge field configurations for SU(2) Yang-Mills gauge theory in the absence of chromo-magnetic field. We also present a systematic way to obtain such configurations for SU(3) and SU(4) YM gauge theories by realizing their…

High Energy Physics - Theory · Physics 2007-07-23 Vinod Chandra , Ravindra Kumar

We consider N = 2 super Yang-Mills theory with SU(2) gauge group and a single quark hypermultiplet in the fundamental representation. For a specific value of the quark bare mass and at a certain point in the moduli space of vacua, the…

High Energy Physics - Theory · Physics 2009-10-31 Andreas Gustavsson , Mans Henningson

The potential between a static quark and antiquark in pure SU(3) Yang-Mills theory is evaluated non-perturbatively through computations on the lattice in the region from short to intermediate distances (0.05 fm < r < 0.8 fm). In the high…

High Energy Physics - Lattice · Physics 2016-09-01 Silvia Necco

The time evolution of a system where a uniform and classical SU(3) color electric field and quantum fields of quarks are dynamically coupled with each other is studied focusing on non-perturbative pair creation and its back reaction. We…

High Energy Physics - Phenomenology · Physics 2014-11-20 Naoto Tanji

The Coulomb branch of the potential between two static colored sources is calculated for the Yang-Mills theory using the electric Schroedinger representation.

High Energy Physics - Theory · Physics 2009-10-31 Jiannis Pachos