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Interquark confinement potential is calculated in the dual Monopole Nambu-Jona-Lasinio model with dual Dirac strings as a functional of a dual Dirac string length. The calculation is carried out by the explicit integration over quantum…

High Energy Physics - Theory · Physics 2008-11-26 M. Faber , A. N. Ivanov , A. Mueller , N. I. Troitskaya , M. Zach

We investigate the dependence of the Yang-Mills wave functional in Coulomb gauge on the Faddeev-Popov determinant. We use a Gaussian wave functional multiplied by an arbitrary power of the Faddeev-Popov determinant. We show, that within the…

High Energy Physics - Theory · Physics 2009-11-10 H. Reinhardt , C. Feuchter

Screening properties of the quark gluon plasma are studied from Polyakov-loop correlation in lattice QCD simulations with two flavors of improved Wilson quarks at temperatures $T/\Tpc \simeq 1$--4 where $\Tpc$ is the pseudocritical…

High Energy Physics - Lattice · Physics 2010-01-21 Y. Maezawa , S. Aoki , S. Ejiri , T. Hatsuda , N. Ishii , K. Kanaya , N. Ukita , T. Umeda

The temperature dependence of the Landau gauge ghost propagator is investigated in pure SU(3) Yang-Mills theory with lattice QCD simulations. Its behavior around the confined-deconfined phase transition temperature, $T_c \sim 270$ MeV, is…

High Energy Physics - Lattice · Physics 2023-07-18 V\'{\I}tor Paiva , Paulo J. Silva , Orlando Oliveira

We study the nature of the confinement phase transition in d=3+1 dimensions in various non-abelian gauge theories with the approach put forward in [1]. We compute an order-parameter potential associated with the Polyakov loop from the…

High Energy Physics - Phenomenology · Physics 2010-12-15 Jens Braun , Astrid Eichhorn , Holger Gies , Jan M. Pawlowski

We derive an analytic expression for point to point correlation functions of the Polyakov loop based on the transfer matrix formalism. The contributions from the eigenvalues of the transfer matrix including and beyond the mass gap are…

High Energy Physics - Lattice · Physics 2009-10-22 J. Engels , V. K. Mitrjushkin , T. Neuhaus

We solve Schr\"odinger's equation for the ground-state of {\it four}-dimensional Yang-Mills theory as an expansion in inverse powers of the coupling. Expectation values computed with the leading order approximation are reduced to a…

High Energy Physics - Theory · Physics 2008-11-26 Paul Mansfield

We simulate SU(2) gauge theory at temperatures ranging from slightly below $T_c$ to roughly $2T_c$ for two different values of the gauge coupling. Using a histogram method, we extract the effective potential for the Polyakov loop and for…

High Energy Physics - Lattice · Physics 2013-11-06 Dominik Smith , Adrian Dumitru , Robert Pisarski , Lorenz von Smekal

In the previous paper hep-th/0604112 we calculated the first of the five planar two-loop diagrams for the Lcc vertex of the general non-Abelian Yang-Mills theory, the vertex which allows us in principle to obtain all other vertices via the…

High Energy Physics - Theory · Physics 2025-09-05 Gorazd Cvetic , Igor Kondrashuk

A phenomenological description for confinement of fractionalized excitations is proposed in the gauge theory approach for doped Mott insulators. Introducing the Polyakov-loop parameter into an SU(2) gauge theory for the t-J model, we show…

Strongly Correlated Electrons · Physics 2009-12-11 Ki-Seok Kim , Hyun-Chul Kim

We study the behaviour of the flux tube in the reconfined phase of the trace deformed $\mathrm{SU}(2)$ Yang-Mills theory in (2 + 1) dimensions. In this phase the Polyakov loop has a vanishing expectation value (and center symmetry is…

High Energy Physics - Lattice · Physics 2025-01-24 Caludio Bonati , Michele Caselle , Alessio Negro , Dario Panfalone , Lorenzo Verzichelli

Inspired by the fact that both the dilaton potential encoding the trace anomalies of QCD and the Polyakov loop potential measuring the deconfinement phase transition can be expressed in the logarithmic forms, as well as the fact that the…

Nuclear Theory · Physics 2024-06-14 Bing-Kai Sheng , Yong-Liang Ma

In order to understand the confining decoupling solution of the Yang-Mills theory in the Landau gauge, we consider the massive Yang-Mills model which is defined by just adding a gluon mass term to the Yang-Mills theory with the…

High Energy Physics - Theory · Physics 2020-02-26 Kei-Ichi Kondo , Masaki Watanabe , Yui Hayashi , Ryutaro Matsudo , Yutaro Suda

An effective low energy action for Yang-Mills theories is proposed, which invokes an additional auxiliary field $H_{\mu \nu}$ for the field strength $F_{\mu \nu}$. For a particular relation between the parameters of this action a gluon…

High Energy Physics - Phenomenology · Physics 2009-10-30 Ulrich Ellwanger

Recent results obtained for the deconfinement phase transition within the Hamiltonian approach to Yang-Mills theory are reviewed. Assuming a quasiparticle picture for the grand canonical gluon ensemble the thermal equilibrium state is found…

High Energy Physics - Theory · Physics 2015-06-18 Hugo Reinhardt , Davide R. Campagnari , Jan Heffner

The connection of Gribov's confinement scenario in Coulomb gauge with the center vortex picture of confinement is investigated. For this purpose we assume a vacuum wave functional which models the infrared properties of the theory and in…

High Energy Physics - Lattice · Physics 2014-11-20 M. Quandt , H. Reinhardt , G. Burgio

We compare the predictions of the effective string description of confinement in finite temperature gauge theories to high precision Monte Carlo data for the three-dimensional Z(2) gauge theory. We show that string interaction effects…

High Energy Physics - Lattice · Physics 2009-11-07 M. Caselle , M. Hasenbusch , M. Panero , P. Provero

The Yang-Mills Schr\"odinger equation is solved in Coulomb gauge for the vacuum by the variational principle using an ansatz for the wave functional, which is strongly peaked at the Gribov horizon. We find an infrared suppressed gluon…

High Energy Physics - Theory · Physics 2009-11-10 D. Epple , C. Feuchter , H. Reinhardt

The infrared behaviour of Landau gauge QCD vertex functions is investigated employing a skeleton expansion of the Dyson-Schwinger and Renormalization Group equations. Results for the ghost-gluon, three-gluon, four-gluon and quark-gluon…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Alkofer , C. S. Fischer , F. Llanes-Estrada , K. Schwenzer

We derive a gauge-invariant low-energy effective model of the SU(2) Yang-Mills theory. We find that the effective gluon propagator belongs to the Gribov-Stingl type, irrespective of the gauge choice. In the maximally Abelian gauge,…

High Energy Physics - Theory · Physics 2011-12-22 Kei-Ichi Kondo