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The structure of the SU(3) gauge-field vacuum is explored through visualisations of centre vortices and topological charge density. Stereoscopic visualisations highlight interesting features of the vortex vacuum, especially the frequency…

High Energy Physics - Lattice · Physics 2021-02-03 James C. Biddle , Waseem Kamleh , Derek B. Leinweber

We study the continuum limit of the string-like behaviour of flux tubes formed between static quarks and anti-quarks in three dimensional SU(2) lattice gauge theory. We compare our simulation data with the predictions of both effective…

High Energy Physics - Lattice · Physics 2008-11-26 N. D. Hari Dass , Pushan Majumdar

For the four-dimensional SU(N) Euclidean Yang-Mills theory in the Landau gauge, we present two sets of gauge field configurations that satisfy the Euclidean equations of motion. These configurations generate four-dimensional chromo-field…

High Energy Physics - Theory · Physics 2015-05-30 Hiroshi Matsuoka

We obtain an exact result for the non-perturbative quark (antiquark) production rate and its p_T distribution from a constant SU(3) chromo-electric field E^a with arbitary color index $a$ by directly evaluating the path integral. Unlike the…

High Energy Physics - Phenomenology · Physics 2009-11-11 Gouranga C. Nayak

We explore the analogy between quark confinement and the Meissner effect in superconductors. We measure the response of color-magnetic "supercurrents" from Dirac magnetic monopoles to the presence of a static quark-antiquark pair in four…

High Energy Physics - Lattice · Physics 2009-10-22 Vandana Singh , Richard W. Haymaker , Dana A. Browne

Confinement in Quantum Chromodynamics (QCD), binding quarks and gluons into hadrons, is characterized by a linear potential and the Wilson loop area law. We develop an analytical framework in $\text{SU(3)}$ gauge theory, proposing a hybrid…

High Energy Physics - Theory · Physics 2025-07-16 Fidele J. Twagirayezu

We investigate the dual superconductor model of color confinement in SU(2) lattice gauge theory. We find that the transverse distribution of the longitudinal chromoelectric field between static quarks displays the dual Meissner effect. We…

High Energy Physics - Lattice · Physics 2009-10-22 P. Cea , L. Cosmai

The color fields in a system composed by two static quarks and two static antiquarks are studied. In particular, we consider the four particles in the corners of a rectangle, and two possible alignment of the particles, one in which the…

High Energy Physics - Lattice · Physics 2012-10-12 M. Cardoso , N. Cardoso , P. Bicudo

Spectra with full towers of levels are expected due to the quantization of the string vibrations, however different theoretical models exist for the excitation spectra. First principle computations are important to test the different models…

High Energy Physics - Lattice · Physics 2021-10-04 P. Bicudo , N. Cardoso , A. Sharifian

The dual formulation of the compact U(1) lattice gauge theory in three spacetime dimensions allows to finely study the squared width and the profile of the confining flux tube on a wide range of physical interquark distances. The results…

High Energy Physics - Lattice · Physics 2017-03-27 Michele Caselle , Marco Panero , Davide Vadacchino

The spatial distribution of the stress tensor around the quark--anti-quark ($Q\bar{Q}$) pair in SU(3) lattice gauge theory is studied. The Yang-Mills gradient flow plays a crucial role to make the stress tensor well-defined and derivable…

High Energy Physics - Lattice · Physics 2019-01-14 Ryosuke Yanagihara , Takumi Iritani , Masakiyo Kitazawa , Masayuki Asakawa , Tetsuo Hatsuda

In this note, we present a method to calculate the vacuum to vacuum transition amplitude in the presence of the non-abelian background field. The number of non-perturbative quark-antiquark produced per unit time, per unit volume and per…

High Energy Physics - Phenomenology · Physics 2015-06-15 Salah Hamieh

I discuss new non-perturbative solutions of the sourceless Yang-Mills equation representing the superposition of oppositely oriented chromomagnetic flux tubes (vortices) similar in their form to a lattice of superposed…

High Energy Physics - Theory · Physics 2024-12-25 George Savvidy

We study the squared width and the profile of flux tubes in compact U(1) lattice gauge theory in three spacetime dimensions. The results obtained from numerical calculations in the dual formulation of this confining theory are compared with…

High Energy Physics - Lattice · Physics 2016-03-07 Michele Caselle , Marco Panero , Davide Vadacchino

In this article we obtain the energy spectrum of colored, spinor particles in chromoelectric flux tubes. The chromoelectric field of the flux tubes considered here comes from {\em simply} constant gauge potentials rather than from…

High Energy Physics - Theory · Physics 2011-04-20 Shahin Mamedov , Douglas Singleton , Shemsettin Turkoz

We compute the effective action for covariantly constant gauge fields that are solutions of the sourceless Yang-Mills equation and have the form of magnetic flux tubes. They represent a superposition of infinite many alternating…

High Energy Physics - Theory · Physics 2026-01-09 George Savvidy

We give a pedagogical introduction to the concept that light quarks diffuse in the QCD vacuum following the spontaneous breaking of chiral symmetry. By analogy with disordered electrons in metals, we show that the diffusion constant for…

High Energy Physics - Phenomenology · Physics 2007-05-23 Romuald A. Janik , Maciej A. Nowak , Gabor Papp , Ismail Zahed

The heavy quark diffusion coefficient is encoded in the spectral functions of the chromoelectric and the chromomagnetic correlators that are calculable on the lattice. We study the chromoelectric and the chromomagnetic correlator in the…

High Energy Physics - Lattice · Physics 2021-11-22 Julian Mayer-Steudte , Nora Brambilla , Viljami Leino , Peter Petreczky

Flux-tubes in different representations of SU(2) and U(1) lattice gauge theories in three dimensions are measured. Wilson loops generate heavy ``quark-antiquark'' pairs in fundamental ($j=1/2$), adjoint ($j=1$), and quartet ($j=3/2$)…

High Energy Physics - Lattice · Physics 2009-10-22 Howard D. Trottier , R. M. Woloshyn

Field distributions generated by static quark-antiquark and QQQ sources are calculated analytically in the framework of Gaussian (bilocal) approximation of Field Correlator Method (FCM). Special attention is paid to the QQQ system and…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. S. Kuzmenko , Yu. A. Simonov
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