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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…

高能物理 - 格点 · 物理学 2018-06-26 V. G. Bornyakov , E. -M. Ilgenfritz , B. V. Martemyanov

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…

高能物理 - 格点 · 物理学 2015-06-17 E. -M. Ilgenfritz , B. V. Martemyanov , M. Muller-Preussker

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…

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…

高能物理 - 格点 · 物理学 2015-06-23 V. G. Bornyakov , E. -M. Ilgenfritz , B. V. Martemyanov , M. Muller-Preussker

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…

高能物理 - 格点 · 物理学 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.…

高能物理 - 格点 · 物理学 2009-11-11 E. -M. Ilgenfritz , B. V. Martemyanov , M. Müller-Preussker , A. I. Veselov

In this paper, we show a comparison of different definitions of the topological charge on the lattice. We concentrate on one small-volume ensemble with 2 flavours of dynamical, maximally twisted mass fermions and use three more ensembles to…

Overlap fermions preserve a remnant of chiral symmetry on the lattice. They are a powerful tool to investigate the topological structure of the vacuum of Yang-Mills theory and full QCD. Recent results concerning the localization of…

高能物理 - 格点 · 物理学 2011-04-01 E. -M. Ilgenfritz , K. Koller , Y. Koma , G. Schierholz , V. Weinberg

Topological phenomena in gauge theories have long been recognized as the driving force for chiral symmetry breaking and confinement. These phenomena can be conveniently investigated in the semi-classical picture, in which the topological…

高能物理 - 唯象学 · 物理学 2013-04-17 Pietro Faccioli , Edward Shuryak

Using smearing of equilibrium lattice fields generated at finite temperature in the confined phase of SU(2) lattice gauge theory, we have investigated the emerging topological objects (clusters of topological charge). Analysing their…

高能物理 - 格点 · 物理学 2009-11-10 E. -M. Ilgenfritz , B. V. Martemyanov , M. Müller-Preussker , A. I. Veselov

We study the vacuum topology of 2+1 flavor QCD above the chiral crossover transition, at $T \lesssim 1.2~T_c$, on lattices of size $32^3\times 8$. Since overlap fermions have exact chiral symmetry and an index theorem even on a finite…

高能物理 - 格点 · 物理学 2020-08-12 Rasmus N. Larsen , Sayantan Sharma , Edward Shuryak

Topological lumps are known to be present in gluonic fields of SU(3) gluodynamics. Near the transition temperature they were classified either as constituents of nondissociated (anti)calorons, or as constituents of (anti)dyon pairs, or as…

高能物理 - 格点 · 物理学 2020-07-08 V. G. Bornyakov , E. -M. Ilgenfritz , B. V. Martemyanov

The topological charge density and topological susceptibility are determined by multi-probing approximation using overlap fermions in quenched SU(3) gauge theory. Then we investigate the topological structure of the quenched QCD vacuum, and…

高能物理 - 格点 · 物理学 2017-09-01 You-Hao Zou , Jian-Bo Zhang , Guang-Yi Xiong , Ying Chen , Chuan Liu , Yu-Bin Liu , Jian-Ping Ma

We delineate equilibrium phase structure and topological charge distribution of dense two-colour QCD at low temperature by using a lattice simulation with two-flavour Wilson fermions that has a chemical potential $\mu$ and a diquark source…

高能物理 - 格点 · 物理学 2020-02-19 Kei Iida , Etsuko Itou , Tong-Gyu Lee

We study the topological charge in $N_f=2$ QCD at finite temperature using M\"obius domain-wall fermions. The susceptibility $\chi_t$ of the topological charge defined either by the index of overlap Dirac operator or a gluonic operator is…

高能物理 - 格点 · 物理学 2018-04-18 S. Aoki , Y. Aoki , G. Cossu , H. Fukaya , S. Hashimoto , K. Suzuki

We study lattice QCD with $N_f=2$ Wilson fermions at nonzero imaginary chemical potential and nonzero temperature. We relate the Roberge - Weiss phase transition to the properties of dyons which are constituents of the KvBLL calorons. We…

We introduce the Dirac eigenmode filtering of topological charge density associated with Ginsparg-Wilson fermions as a tool to investigate the local structure of topological charge fluctuations in QCD. The resulting framework is used to…

高能物理 - 格点 · 物理学 2008-11-26 I. Horvath , S. J. Dong , T. Draper , F. X. Lee , K. F. Liu , J. B. Zhang , H. B. Thacker

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…

We discuss the topological phenomena in the QCD-like theories with variable number of fundamental $N_f$ or adjoint $N_a$ fermions, focusing on the temperatures at or above the critical value $T_c$ of chiral symmetry restoration. Nonzero…

高能物理 - 唯象学 · 物理学 2012-08-10 Edward Shuryak , Tin Sulejmanpasic

The topological structure of the QCD vacuum can be probed by monitoring the spatial localization of the low-lying Dirac eigenmodes. This approach can be pursued on the lattice, and unlike the traditional one requires no smoothing of the…

高能物理 - 格点 · 物理学 2008-11-26 Philippe de Forcrand
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