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In the deconfinement phase of quenched SU(2) Yang-Mills theory the spectrum and localization properties of the eigenmodes of the overlap Dirac operator with antiperiodic boundary conditions are strongly dependent on the sign of the average…

High Energy Physics - Lattice · Physics 2009-11-13 V. G. Bornyakov , E. -M. Ilgenfritz , B. V. Martemyanov , M. Muller-Preussker

We show that dyon and magnetic monopole can be constructed in the gauge-independent way for the $SU(2)$ Yang--Mills theory even in the absence of the scalar field. This result is derived from the recent proposal for obtaining non-trivial…

High Energy Physics - Theory · Physics 2019-03-28 Shogo Nishino , Ryutaro Matsudo , Matthias Warschinke , Kei-Ichi Kondo

In the framework of the center vortex picture of confinement, the nature of the deconfining phase transition is studied. Using recently developed techniques which allow to associate a center vortex configuration with any given lattice gauge…

High Energy Physics - Phenomenology · Physics 2010-12-13 M. Engelhardt , K. Langfeld , H. Reinhardt , O. Tennert

We describe a monopole-like order parameter for the confinement-deconfinement transition in gauge theories where dynamical charges and monopoles coexist. It has been recently proposed in a collaboration with J. Froehlich. It avoids an…

High Energy Physics - Theory · Physics 2014-11-18 Pieralberto Marchetti

In any Abelian gauge theory with an action periodic in the link variables one can perform a duality transformation not only in the partition function, but also in correlation functions including Polyakov loops. The calculation of…

High Energy Physics - Lattice · Physics 2008-11-26 Martin Zach , Manfried Faber , Peter Skala

Effective Polyakov loop theories are a useful tool for an investigation of pure Yang-Mills theory and full QCD. A systematic derivation of the effective action can be done in a spatial strong coupling expansion. Quite accurate predictions…

High Energy Physics - Lattice · Physics 2013-11-27 Georg Bergner , Jens Langelage , Owe Philipsen

Scaling behavior in the moduli space of monopole and dyon solutions in the Einstein-Yang-Mills theory in the asymptotically anti-de Sitter space is derived. The mass of monopoles and dyons scales with respect to their magnetic and electric…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Yutaka Hosotani

We reveal the center vortex content of SU(2) calorons and ensembles of them. While one part of the vortex connects the constituent dyons of a single caloron, another part is predominantly spatial and can be related to the twist that exists…

High Energy Physics - Theory · Physics 2011-08-17 Falk Bruckmann , Ernst-Michael Ilgenfritz , Boris Martemyanov , Bo Zhang

Monte-Carlo simulations of abelian projection in $T \neq 0$ pure lattice QCD show that 1)\ Polyakov loops written in terms of abelian link fields alone play a role of an order parameter of deconfinement transition 2)\ the abelian Polyakov…

High Energy Physics - Lattice · Physics 2009-10-28 Yoshimi Matsubara , Sawut Ilyar , Tsuyoshi Okude , Kenji Yotsuji , Tsuneo Suzuki

We identify an observable that could operate as a probe of the quark versus hadron content of a bath of quarks and gluons at finite temperature and chemical potential. To this purpose, we relate the Polyakov and anti-Polyakov loops, which…

High Energy Physics - Phenomenology · Physics 2026-03-04 V. Tomas Mari Surkau , Urko Reinosa

Using the renormalization group motivated smoothing technique, the large scale structure of lattice configurations at finite temperature is characterized in terms of Abelian monopoles identified in the maximally Abelian, the Laplacian…

High Energy Physics - Lattice · Physics 2009-10-31 E. -M. Ilgenfritz , H. Markum , M. Müller-Preussker , S. Thurner

The dual superconductivity is a promising mechanism of quark confinement. In the preceding works, we have given a non-Abelian dual superconductivity picture for quark confinement, and demonstrated the numerical evidences on the lattice. In…

High Energy Physics - Lattice · Physics 2019-08-20 Akihiro Shibata , Seikou Kato , Kei-Ichi Kondo

We construct dyons, and electrically charged monopole-antimonopole pairs and vortex rings in Yang-Mills-Higgs theory coupled to Einstein gravity. The solutions are stationary, axially symmetric and asymptotically flat. The dyons with…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Burkhard Kleihaus , Jutta Kunz , Ulrike Neemann

We show that the magnetic monopole promoted to the dyon due to the vacuum angle $\theta$ resolves the U(1) problem in the sense that the dyon obtained in this way gives a dominant contribution to the topological susceptibility. For this…

High Energy Physics - Theory · Physics 2009-11-10 Seikou Kato , Kei-Ichi Kondo

Recent lattice calculations performed at zero temperature and in the maximal center gauge indicate that quark confinement can be understood in this gauge as due to fluctuations in the number of magnetic vortices piercing a given Wilson…

High Energy Physics - Lattice · Physics 2009-10-31 K. Langfeld , O. Tennert , M. Engelhardt , H. Reinhardt

The purpose of this paper is to review the recent progress in understanding quark confinement. The emphasis of this review is placed on how to obtain a manifestly gauge-independent picture for quark confinement supporting the dual…

High Energy Physics - Theory · Physics 2015-06-11 Kei-Ichi Kondo , Seikou Kato , Akihiro Shibata , Toru Shinohara

We show that the presence of finite-size monopoles can lead to a number of interesting physical processes involving quantum entanglement of charges. Taking as a model the classical solution of the N=2 SU(2) Yang-Mills theory, we study…

High Energy Physics - Theory · Physics 2009-11-07 R. Iengo , J. G. Russo

Aspects of the monopole condensation picture of confinement are discussed. First, the nature of the monopole singularities in the abelian projection approach is analysed. Their apparent gauge dependence is shown to have a natural…

High Energy Physics - Theory · Physics 2016-11-03 A. J. van der Sijs

A three-dimensional effective theory of Polyakov loops has recently been derived from Wilson's Yang-Mills lattice action by means of a strong coupling expansion. It is valid in the confined phase up to the deconfinement phase transition,…

High Energy Physics - Lattice · Physics 2015-06-18 Georg Bergner , Jens Langelage , Owe Philipsen

By numerical calculations we show that the abelian monopole currents are locally correlated with the density of SU(2) lattice action. The correlations are larger by the order of magnitude in the maximal abelian projection than in the…

High Energy Physics - Lattice · Physics 2009-10-30 B. L. G. Bakker , M. N. Chernodub , M. I. Polikarpov