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We give new descriptions of lattice SU(N) Yang-Mills theory in terms of new lattice variables. The validity of such descriptions has already been demonstrated in the SU(2) Yang-Mills theory by our previous works from the viewpoint of…

High Energy Physics - Lattice · Physics 2008-11-26 K. -I. Kondo , A. Shibata , T. Shinohara , T. Murakami , S. Kato , S. Ito

The vortex free energy is studied in the random vortex world-surface model of the infrared sector of SU(3) Yang-Mills theory. The free energy of a center vortex extending into two spatial directions, which is introduced into Yang-Mills…

High Energy Physics - Lattice · Physics 2009-11-10 M. Quandt , H. Reinhardt , M. Engelhardt

We present a novel method for defining the topological charge contained within distinct topological objects in the nontrivial ground-state fields of SU(N) lattice gauge theory. Such an analysis has been called for by the growing number of…

High Energy Physics - Lattice · Physics 2025-04-04 Jackson A. Mickley , Waseem Kamleh , Derek B. Leinweber

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

Lattice Monte Carlo simulations are performed for the SU(2) Yang Mills gauge theory in the presence of an Abelian background with external sources to obtain information on the effective potential. The goal is to investigate the lowest…

High Energy Physics - Lattice · Physics 2009-10-22 A. R. Levi

In oder to investigate quark confinement, we give a new reformulation of the $SU(N)$ Yang-Mills theory on a lattice and present the results of the numerical simulations of the $SU(3)$ Yang-Mills theory on a lattice. The numerical…

High Energy Physics - Lattice · Physics 2014-12-30 Akihiro Shibata , Kei-Ichi Kondo , Seikou Kato , Toru Shinohara

Retaining only the `timelike' component $A_0$ of the vector potential a skelet model with explicit global center symmetry is constructed for $SU(2)$ Yang-Mills theory. It is shown that the $A_0$ gluon vacuum is equivalent with the…

High Energy Physics - Phenomenology · Physics 2007-05-23 K. Sailer

We use 't Hooft loops of maximal size on finite lattices to calculate the free energy in the sectors of SU(2) Yang-Mills theory with fixed electric flux as a function of temperature and (spatial) volume. Our results provide evidence for the…

High Energy Physics - Lattice · Physics 2013-05-29 Philippe de Forcrand , Lorenz von Smekal

We study the finite-temperature phase structure of the four-dimensional ${\rm SU(2)}$ adjoint Higgs model, focusing on a possible deconfinement-Higgs continuity: the conjecture that the high-temperature deconfined phase of Yang-Mills theory…

High Energy Physics - Theory · Physics 2025-10-20 Yui Hayashi , Masashi Kawahira , Hiromasa Watanabe

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

Nonequilibrium dynamics of quantum many-body systems is one of the main targets of quantum simulations. This focus - together with rapid advances in quantum-computing hardware - has driven increasing applications in high-energy physics,…

High Energy Physics - Lattice · Physics 2026-01-21 Tomoya Hayata , Yoshimasa Hidaka , Yuta Kikuchi

A first-order, confinement/deconfinement phase transition appears in the finite temperature behavior of many non-Abelian gauge theories. These theories play an important role in proposals for completion of the Standard Model of particle…

High Energy Physics - Lattice · Physics 2026-04-10 Ed Bennett , Biagio Lucini , David Mason , Maurizio Piai , Enrico Rinaldi , Davide Vadacchino , Fabian Zierler

We propose a novel approach to the confinement-deconfinement transition in Yang-Mills theories in the context of gauge-fixed calculations. The method is based on a background-field generalisation of the Landau gauge (to which it reduces at…

High Energy Physics - Phenomenology · Physics 2022-03-09 Duifje Maria van Egmond , Urko Reinosa , Julien Serreau , Matthieu Tissier

Based on the trace anomaly for the energy-momentum tensor, an effective theory for the thermodynamics of the deconfining phase, and by assuming the asymptotic behavior to be determined by one-loop perturbation theory we compute the…

High Energy Physics - Theory · Physics 2008-11-26 Francesco Giacosa , Ralf Hofmann

Non-abelian gauge theories play an important role in the standard model of particle physics, and unfold a partially unexplored world of exciting physical phenomena. In this letter, we suggest a realization of a non-abelian lattice gauge…

Quantum Physics · Physics 2013-03-25 Erez Zohar , J. Ignacio Cirac , Benni Reznik

We have pointed out that the $SU(3)$ Yang-Mills theory has a new way of reformulation using new field variables (minimal option), in addition to the conventional option adopted by Cho, Faddeev and Niemi (maximal option). The reformulation…

High Energy Physics - Lattice · Physics 2015-12-14 Akihiro Shibata , Kei-Ichi Kondo , Seikou Kato , Toru Shinohara

We study vacuum dynamics of SU(3) lattice gauge theory at finite temperature. Using the lattice Schr\"odinger functional, SU(3) vacuum is probed by means of an external constant Abelian chromomagnetic field. Our preliminary numerical data…

High Energy Physics - Lattice · Physics 2007-05-23 Paolo Cea , Leonardo Cosmai

Lattice Yang-Mills theories at finite temperature can be mapped onto effective 3d spin systems, thus facilitating their numerical investigation. Using strong-coupling expansions we derive effective actions for Polyakov loops in the $SU(2)$…

High Energy Physics - Lattice · Physics 2011-03-31 Jens Langelage , Stefano Lottini , Owe Philipsen

We describe a weak coupling realization of the deconfinement transition in gauge theory compactified on $R^3\times S^1$. We consider Yang-Mills theory with a single Weyl fermion of mass $m$ in the adjoint representation of the gauge group.…

High Energy Physics - Lattice · Physics 2013-10-31 Thomas Schaefer

The model of nonperturbative vacuum in SU(2) Yang-Mills theory coupled to a nonlinear spinor field is suggested. By analogy with Abelian magnetic monopole dominance in quantum chromodynamics, it is assumed that the dominant contribution to…

High Energy Physics - Theory · Physics 2022-05-31 Vladimir Dzhunushaliev , Vladimir Folomeev