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In U(1) lattice gauge theory in three spacetime dimensions, the problem of confinement can be studied analytically in a semi-classical approach, in terms of a gas of monopoles with Coulomb-like interactions. In addition, this theory can be…

High Energy Physics - Lattice · Physics 2015-01-27 Michele Caselle , Marco Panero , Roberto Pellegrini , Davide Vadacchino

Merons, conjectured as a semiclassical mechanism for color confinement in QCD, are topological charge-1/2, singular solutions to the classical Yang-Mills equations of motion. I will discuss how lattice techniques can extend the study of…

High Energy Physics - Lattice · Physics 2007-05-23 James V. Steele

We observe a strong correlation between the decrease in the number of action density peaks in SU(2) Yang-Mills configurations with cooling and that of the string tension. The nature and distribution of these peaks is investigated. The…

High Energy Physics - Lattice · Physics 2008-11-26 A. Gonzalez-Arroyo , A. Montero

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

The question whether the center vortex picture of the strongly interacting vacuum can encompass the infrared dynamics of both SU(2) as well as Sp(2) Yang-Mills theory is addressed. These two theories contain the same center vortex degrees…

High Energy Physics - Lattice · Physics 2008-11-26 M. Engelhardt , B. Sperisen

The gauge-independent phenomenon of color confinement in Yang-Mills theory manifests itself differently in different gauges. Therefore, the gauge dependence of quantities related to the infrared structure of the theory becomes important for…

High Energy Physics - Lattice · Physics 2015-03-19 Axel Maas , Tereza Mendes , Stefan Olejnik

We derive an U(1) effective theory of color confinement by applying the so-called Julia-Toulouse Approach for defects condensation to the SU(2) restricted gauge theory defined by means of the Cho decomposition of the non-abelian connection.…

High Energy Physics - Theory · Physics 2011-06-27 L. S. Grigorio , M. S. Guimaraes , W. Oliveira , R. Rougemont , C. Wotzasek

We study five dimensional non critical type 0 string theory and its correspondence to non supersymmetric Yang Mills theory in four dimensions. We solve the equations of motion of the low energy effective action and identify a class of…

High Energy Physics - Theory · Physics 2009-10-31 Adi Armoni , Ehud Fuchs , Jacob Sonnenschein

We show that, starting from known exact classical solutions of the Yang-Mills theory in three dimensions, the string tension is obtained and the potential is consistent with a marginally confining theory. The potential we obtain agrees…

High Energy Physics - Theory · Physics 2017-04-26 Marco Frasca

We discuss the dependence of pure Yang-Mills equation of state on the choice of gauge algebra. In the confined phase, we generalize to an arbitrary simple gauge algebra Meyer's proposal of modelling the Yang-Mills matter by an ideal…

High Energy Physics - Phenomenology · Physics 2011-11-01 Fabien Buisseret , Gwendolyn Lacroix

We show how to construct the general action coupling (multi)instantons to gauge theories arising from branes probing arbitrary toric singularities. We give a general set of rules for how to construct such an action given the knowledge of…

High Energy Physics - Theory · Physics 2009-12-10 Riccardo Argurio , Gabriele Ferretti , Christoffer Petersson

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

We study the spatial volume dependence of electric flux energies for SU(2) Yang-Mills fields on the torus with twisted boundary conditions. The results approach smoothly the rotational invariant Confinement regime. The would-be string…

High Energy Physics - Lattice · Physics 2008-11-26 Margarita Garcia Perez , Antonio Gonzalez-Arroyo , Pablo Martinez

The binary interaction of large size instantons in a SU(2) Yang-Mills theory is obtained from the one-loop effective action for the field strength. The instanton interaction is calculated as a function of the instanton separation and in…

High Energy Physics - Phenomenology · Physics 2009-10-28 K. Langfeld , H. Reinhardt

A model for the quantum effective description of the vacuum structure of thermalized SU(3) Yang-Mills theory is proposed. The model is based on Abelian projection leading to a Ginzburg-Landau theory for the magnetic sector. The possibility…

High Energy Physics - Phenomenology · Physics 2017-08-23 Ralf Hofmann

We discuss the effective string picture for the confining regime of lattice gauge theories at zero and finite temperature. We present results of extensive Monte Carlo simulations - performed with the Luscher and Weisz algorithm - for SU(2)…

High Energy Physics - Lattice · Physics 2009-11-10 M. Caselle , M. Pepe , A. Rago

Since the inception of lattice QCD, a natural definition for the Yang-Mills instanton on lattice has been long sought for. In a recent work, one of authors showed the natural solution has to be organized in terms of bundle gerbes in higher…

High Energy Physics - Lattice · Physics 2025-06-24 Peng Zhang , Jing-Yuan Chen

In the framework of the functional renormalization group, we reexamine the stability of the Yang-Mills vacuum with a chromomagnetic condensation. We show that the Nielsen-Olesen instability of the Savvidy vacuum with a homogeneous…

High Energy Physics - Theory · Physics 2013-12-03 Kei-Ichi Kondo

Including the Haar measure we show that the effective potential of the regularized SU(2) Yang-Mills theory has a minimum at vanishing Wilson-line $W=0$ for strong coupling, whereas it develops two degenerate minima close to $W=\pm 1$ for…

High Energy Physics - Phenomenology · Physics 2016-09-01 K. Sailer , A. Schäfer , W. Greiner

This is a pedagogical introduction to the physics of confinement on $R^3 \times S^1$, using $SU(2)$ Yang-Mills with massive or massless adjoint fermions as the prime example; at the end, we also add fundamental flavours. The small-$S^1$…

High Energy Physics - Theory · Physics 2024-09-16 Erich Poppitz