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We study the shape of the flux tube in lattice Yang-Mills theories and in particular its intrinsic width. In the framework of the Effective String Theory description of the confining flux tube this intrinsic width has no measurable effects…

High Energy Physics - Lattice · Physics 2025-01-06 Michele Caselle , Elia Cellini , Alessandro Nada , Dario Panfalone , Lorenzo Verzichelli

We perform euclidean strong coupling expansions for Yang Mills theory on the lattice at finite temperature. After setting up the formalism for general SU(N), we compute the first few terms of the series for the free energy density and the…

High Energy Physics - Lattice · Physics 2014-11-18 Jens Langelage , Gernot Münster , Owe Philipsen

We summarize recent nonperturbative results obtained for the thermodynamics of an SU(2) and an SU(3) Yang-Mills theory being in its deconfining (electric) phase. Emphasis is put on an explanation of the concepts involved. The presentation…

High Energy Physics - Theory · Physics 2007-05-23 Ralf Hofmann

We have given a new description of the lattice Yang-Mills theory a la Cho-Faddeev-Niemi-Shabanov, which has enabled us to confirm in a gauge-independent manner "Abelian"-dominance and magnetic-monopole dominance in the Wilson loop average,…

High Energy Physics - Lattice · Physics 2010-11-05 Akihiro Shibata , Kei-Ichi Kondo , Seikou Kato , Shoichi Ito , Toru Shinohara , Nobuyui Fukui

In this article we analyze the vacuum structure of pure SU(2) Yang-Mills using non-perturbative techniques. Monte Carlo simulations are performed for the lattice gauge theory with external sources to obtain the effective potential. Evidence…

High Energy Physics - Lattice · Physics 2009-10-28 A. R. Levi , J. Polonyi

The static Coulomb potential energy between the electron and positron at rest separated by a large distance $R$ obtained from the Wilson loop in QED is same as the Coulomb potential energy obtained in the classical Maxwell theory. Since the…

General Physics · Physics 2019-12-18 Gouranga C Nayak

Although nonperturbative functional methods are often associated with low energy Quantum Chromodynamics, contemporary studies indicate that they provide reliable tools to characterize a much wider spectrum of strongly interacting many-body…

High Energy Physics - Phenomenology · Physics 2015-06-15 Carina Popovici

A quark model with general Yang-Mills $SU_3$ symmetry leads to fourth-order field equations and linear confining potential. The confining gauge bosons (`confions') are treated as off-mass-shell particles and their indefinite energies are…

General Physics · Physics 2017-07-13 Jong-Ping Hsu

We compute the equation of state in the confining phase of SU(N) Yang-Mills theories with N=2, 3, 4, 5 and 6 colors in 2+1 dimensions, via lattice simulations. At low enough temperatures, the results are accurately described by a gas of…

High Energy Physics - Lattice · Physics 2011-07-05 Michele Caselle , Luca Castagnini , Alessandra Feo , Ferdinando Gliozzi , Marco Panero

The mechanism of color confinement has been studied in the framework of SU (3) color gauge theory in terms of abelian fields and monopoles extracted by adopting magnetic symmetry. The existence of the mechanism of color confinement…

High Energy Physics - Phenomenology · Physics 2020-01-08 Garima Punetha , H. C. Chandola

I report on recent results obtained within the Hamiltonian approach to QCD in Coulomb gauge. By relating the Gribov confinement scenario to the center vortex picture of confinement it is shown that the Coulomb string tension is tied to the…

High Energy Physics - Theory · Physics 2017-04-05 H. Reinhardt , G. Burgio , D. Campagnari , E. Ebadati , J. Heffner , M. Quandt , P. Vastag , H. Vogt

We discuss thermodynamic properties of open confining strings introduced via static sources in the vacuum of Yang-Mills theory. We derive new sum rules for the chromoelectric and chromomagnetic condensates and use them to show that the…

High Energy Physics - Phenomenology · Physics 2020-11-03 M. N. Chernodub

We report on evidence that confinement is related to dual superconductivity of the vacuum in full QCD, as in quenched QCD. The vacuum is a dual superconductor in the confining phase, whilst the U(1) magnetic symmetry is realized a la Wigner…

High Energy Physics - Lattice · Physics 2008-11-26 J. M. Carmona , M. D'Elia , L. Del Debbio , A. Di Giacomo , B. Lucini , G. Paffuti

Static charges are introduced in Yang-Mills theory via coupling to heavy fermions. The states containing static color charges are constructed using integration over gauge transformations. A functional representation for interquark potential…

High Energy Physics - Theory · Physics 2009-10-31 K. Zarembo

The theory of confinement and deconfinement is discussed as based on the properties of the QCD vacuum. The latter are described by field correlators of colour-electric and colour-magnetic fields in the vacuum, which can be calculated…

High Energy Physics - Phenomenology · Physics 2015-05-13 A. V. Nefediev , Yu. A. Simonov , M. A. Trusov

We compute, in the large N limit, the quark potential for ${\cal N}=4$ supersymmetric SU(N) Yang-Mills theory broken to $SU(N_1) \times SU(N_2)$. At short distances the quarks see only the unbroken gauge symmetry and have an attractive…

High Energy Physics - Theory · Physics 2010-02-03 J. A. Minahan , N. P. Warner

The generalization of the effective action [1] of the quark--antiquark system in the confining vacuum is performed for the case of arbitrary quark masses. The interaction of quarks is described by the averaged Wilson loop for which we use…

High Energy Physics - Phenomenology · Physics 2009-10-28 E. L. Gubankova , A. Yu. Dubin

The non-perturbative part of the vacuum energy density for static configuration in pure SU(2) Y-M theory is described. The vacuum state is constructed.

High Energy Physics - Theory · Physics 2007-05-23 V. G. Ksenzov

The infrared behavior of Yang-Mills theory at finite temperature provides access to the role of confinement. In this review recent results on this topic from lattice calculations and especially Dyson-Schwinger studies are discussed. These…

High Energy Physics - Phenomenology · Physics 2009-11-11 Axel Maas

We give a short review of recently obtained results on a new lattice formulation of the non-linear change of variables which was once called the Cho--Faddeev--Niemi decomposition in SU(2) Yang-Mills theory. Based on this formulation, we…

High Energy Physics - Lattice · Physics 2016-09-01 S. Kato , S. Ito , K. -I. Kondo , T. Murakami , A. Shibata , T. Shinohara