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Topological objects of $SU(3)$ gluodynamics are studied at the infrared scale near the transition temperature with the help of zero and near-zero modes of the overlap Dirac operator. We construct UV filtered topological charge densities…

High Energy Physics - Lattice · Physics 2015-06-17 E. -M. Ilgenfritz , B. V. Martemyanov , M. Muller-Preussker

We study the topological structure of $SU(3)$ lattice gluodynamics by cluster analysis. This methodological study is meant as preparation for full QCD. The topological charge density is becoming visible in the process of overimproved…

High Energy Physics - Lattice · Physics 2018-06-26 V. G. Bornyakov , E. -M. Ilgenfritz , B. V. Martemyanov

By cooling of equilibrium lattice fields at finite temperature in SU(2) gauge theory it has been shown that topological objects (calorons) observed on the lattice in the confined phase possess a dyonic substructure which becomes visible…

High Energy Physics - Lattice · Physics 2009-11-10 E. -M. Ilgenfritz , B. V. Martemyanov , M. Müller-Preussker , A. I. Veselov

In a pilot study, we use the topological charge density defined by the eigenmodes of the overlap Dirac operator (with ultraviolet filtering by mode-truncation) to search for lumps of topological charge in SU(2) pure gauge theory. Augmenting…

High Energy Physics - Lattice · Physics 2008-11-26 V. G. Bornyakov , E. -M. Ilgenfritz , B. V. Martemyanov , S. M. Morozov , M. Müller-Preussker , A. I. Veselov

Finite temperature Euclidean SU(2) lattice gauge fields generated in the confinement phase close to the deconfinement phase transition are subjected to cooling. The aim is to identify long-living, almost-classical local excitations which…

High Energy Physics - Lattice · Physics 2009-11-07 E. -M. Ilgenfritz , B. V. Martemyanov , M. Müller-Preussker , S. Shcheredin , A. I. Veselov

In equilibrium, at finite temperature below and above the deconfining phase transition, we have generated lattice SU(2) gauge fields and have exposed them to smearing in order to investigate the emerging clusters of topological charge.…

High Energy Physics - Lattice · Physics 2009-11-11 E. -M. Ilgenfritz , B. V. Martemyanov , M. Müller-Preussker , A. I. Veselov

We study SU(2) gluodynamics at finite temperature near the deconfining phase transition. We create the lattice ensembles using the tadpole improved Luscher-Weisz action. The overlap Dirac operator is used to determine the following three…

High Energy Physics - Lattice · Physics 2008-11-26 V. G. Bornyakov , E. V. Luschevskaya , S. M. Morozov , M. I. Polikarpov , E. M. Ilgenfritz , M. Muller-Preussker

We study the topological structure of QCD by cluster analysis. The fermionic topological charge density is constructed from low lying modes of overlap Dirac operator for three types of temporal boundary conditions for fermion field. This…

High Energy Physics - Lattice · Physics 2016-04-27 V. G. Bornyakov , E. -M. Ilgenfritz , B. V. Martemyanov , M. Müller-Preussker

The properties of the thermal Abelian color-magnetic monopoles in the maximally Abelian gauge are studied in the vicinity of the confinement-deconfinement phase transition in the lattice $SU(3)$ gluodynamics and lattice QCD. We compute the…

High Energy Physics - Lattice · Physics 2013-12-17 V. G. Bornyakov , A. G. Kononenko , V. K. Mitrjushkin

We report on our recent study of equilibrium thermodynamic observables in SU(N) gauge theories with N=3, 4, 5, 6 and 8 colors at temperatures T in the range from 0.8 T_c to 3.4 T_c (where T_c denotes the critical deconfinement temperature).…

High Energy Physics - Lattice · Physics 2010-11-05 Marco Panero

We report the observation of calorons with nontrivial holonomy and fractional topological charge objects in cooled lattice samples derived from SU(2) equilibrium ensembles at $T<T_c$.

High Energy Physics - Lattice · Physics 2017-08-23 E. -M. Ilgenfritz , B. V. Martemyanov , M. Müller-Preussker , S. Shcheredin , A. I. Veselov

We show that the nature of the topological fluctuations in $SU(3)$ gauge theory changes drastically at the finite temperature phase transition. Starting from temperatures right above the phase transition topological fluctuations come in…

High Energy Physics - Lattice · Physics 2022-02-01 Reka A. Vig , Tamas G. Kovacs

We study SU(2) gluodynamics at finite temperature on both sides of the deconfining phase transition. We create the lattice ensembles using the tree-level tadpole-improved Symanzik action. The Neuberger overlap Dirac operator is used to…

High Energy Physics - Lattice · Physics 2009-11-05 V. G. Bornyakov , E. V. Luschevskaya , S. M. Morozov , M. I. Polikarpov , E. -M. Ilgenfritz , M. Müller-Preussker

Motivated by the recent high-precision lattice data on Yang-Mills equations of state, we propose an effective theory of SU(3) gluonic matter. The theory is constructed based on the center and scale symmetries and their dynamical breaking,…

High Energy Physics - Phenomenology · Physics 2015-06-16 Chihiro Sasaki , Igor Mishustin , Krzysztof Redlich

Recent efforts in lattice evaluation of the topological susceptibility had shown that at high temperatures it is given by well-separated instantons (even in QCD with light fermions, where those are highly suppressed). Recent development of…

High Energy Physics - Lattice · Physics 2017-01-30 Edward Shuryak

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 analyze topological objects in pure gluonic $SU(2)$ lattice gauge theory and compute correlation functions between instantons and monopoles. Concerning the instantons we use geometric and field theoretic definitions of the topological…

High Energy Physics - Lattice · Physics 2009-10-28 M. Feurstein , H. Markum , St. Thurner

We study on the lattice the topology of SU(2) and SU(3) Yang-Mills theories at zero temperature and of QCD at temperatures around the phase transition. To smooth out dislocations and the UV noise we cool the configurations with an action…

High Energy Physics - Lattice · Physics 2009-09-25 Philippe de Forcrand , Margarita Garcia Perez , James E. Hetrick , Ion-Olimpiu Stamatescu

We study correlations between low-lying modes of the overlap Dirac operator and vacuum defects, center vortices and three-dimensional volumes, in lattice SU(2) gluodynamics. The low-lying modes are apparently sensitive to topological…

High Energy Physics - Lattice · Physics 2008-11-26 A. V. Kovalenko , S. M. Morozov , M. I. Polikarpov , V. I. Zakharov

The topological structure of lattice gluodynamics is studied at intermediate resolution scale in the deconfining phase with the help of a cluster analysis. UV filtered topological charge densities are determined from a fixed number of…

High Energy Physics - Lattice · Physics 2015-06-23 V. G. Bornyakov , E. -M. Ilgenfritz , B. V. Martemyanov , M. Muller-Preussker
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