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We calculate the lattice two-point function of topological charge density in pure-glue QCD using the discretization of the operator based on the overlap Dirac matrix. Utilizing data at three lattice spacings it is shown that the continuum…

High Energy Physics - Lattice · Physics 2008-11-26 I. Horvath , A. Alexandru , J. B. Zhang , Y. Chen , S. J. Dong , T. Draper , K. F. Liu , N. Mathur , S. Tamhankar , H. B. Thacker

We present selected recent results of the QCDSF collaboration on the localization and dimensionality of low overlap eigenmodes and of the topological density in the quenched SU(3) vacuum. We discuss the correlations between the topological…

High Energy Physics - Lattice · Physics 2008-11-26 E. -M. Ilgenfritz , K. Koller , Y. Koma , G. Schierholz , T. Streuer , V. Weinberg , M. Quandt

In this paper, we analyze the dependence of the topological charge density from the overlap operator on the Wilson mass parameter in the overlap kernel by the symmetric multi-probing source (SMP) method. We observe that the non-trivial…

High Energy Physics - Lattice · Physics 2021-09-01 Zhen Cheng , Jian-bo Zhang

Recently, we have pointed out that sign-coherent 4-dimensional structures can not dominate topological charge fluctuations in QCD vacuum at all scales. Here we show that an enhanced lower-dimensional coherence is possible. In pure SU(3)…

High Energy Physics - Lattice · Physics 2017-08-23 I. Horvath , S. J. Dong , T. Draper , K. F. Liu , N. Mathur , F. X. Lee , H. B. Thacker , J. B. Zhang

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 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…

High Energy Physics - Lattice · Physics 2020-08-12 Rasmus N. Larsen , Sayantan Sharma , Edward Shuryak

Long-range order of a specific kind has recently been found directly in configurations dominating the regularized QCD path integral. In particular, a low-dimensional global structure was identified in typical space-time distributions of…

High Energy Physics - Lattice · Physics 2009-11-11 A. Alexandru , I. Horvath , J. B. Zhang

In an effort to clarify the significance of the recent observation of long-range topological charge coherence in QCD gauge configurations, we study the local topological charge distributions in two-dimensional $CP^{N-1}$ sigma models, using…

High Energy Physics - Lattice · Physics 2009-11-11 Saeed Ahmad , Jonathan T. Lenaghan , H. B. Thacker

We investigate how the topological charge density in lattice QCD simulations is affected by violations of chiral symmetry in different fermion actions. To this end we compare lattice configurations generated with a number of different…

High Energy Physics - Lattice · Physics 2012-01-10 Falk Bruckmann , Nigel Cundy , Florian Gruber , Thomas Lippert , Andreas Schäfer

We analyze the topological structure of quenched QCD in the presence of static color sources. Distributions of the topological charge density around static quarks and mesons are computed in both phases of QCD. We observe a suppression of…

High Energy Physics - Lattice · Physics 2008-11-26 Manfried Faber , Harald Markum , Stefan Olejnik , Wolfgang Sakuler

Lattice topological charge associated with Ginsparg-Wilson fermions exhibits generic topological stability over quantum ensemble of configurations contributing to the QCD path integral. Moreover, the underlying chiral symmetry leads to the…

High Energy Physics - Lattice · Physics 2008-11-26 I. Horvath , S. J. Dong , T. Draper , F. X. Lee , K. F. Liu , N. Mathur , J. B. Zhang , H. B. Thacker

We smear quenched lattice QCD ensembles with lattice volume $32^3\times 8$ by using Wilson flow. Six ensembles at temperature near the critical temperature $T_c$ corresponding to the critical inverse coupling $\beta_c=6.06173(49)$ are used…

High Energy Physics - Lattice · Physics 2018-07-12 You-Hao Zou , Jian-Bo Zhang , Guang-Yi Xiong

We investigate how the topological charge density in lattice QCD simulations is affected by violations of chiral symmetry caused by the fermion action. To this end we compare lattice configurations generated with a number of different…

High Energy Physics - Lattice · Physics 2012-01-10 Falk Bruckmann , Nigel Cundy , Florian Gruber , Thomas Lippert , Andreas Schäfer

Monte Carlo studies of pure glue SU(3) gauge theory using the overlap-based topological charge operator have revealed a laminar structure in the QCD vacuum consisting of extended, thin, coherent, locally 3-dimensional sheets of topological…

High Energy Physics - Lattice · Physics 2008-11-26 H. B. Thacker

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

Grain boundaries in extremely confined colloidal smectics possess a topological fine structure with coexisting nematic and tetratic symmetry of the director field. An alternative way to approach the problem of smectic topology is via the…

Soft Condensed Matter · Physics 2024-04-24 René Wittmann

Using a reweighting technique combined with a low-mode truncation of the fermionic determinant, we estimate the quark-mass dependence of the QCD topological susceptibility with overlap fermions. In contrast to previous lattice simulations…

High Energy Physics - Lattice · Physics 2009-09-25 Tamas G. Kovacs

Local topological charge structure in the 2D CP(N-1) sigma models is studied using the overlap Dirac operator. Long-range coherence of topological charge along locally 1D regions in 2D space-time is observed. We discuss the connection…

High Energy Physics - Lattice · Physics 2009-11-10 H. Thacker , S. Ahmad , J. Lenaghan

We discuss the utility of low-lying Dirac eigenmodes for studying the nature of topological charge fluctuations in QCD. The implications of previous results using the local chirality histogram method are discussed, and the new results using…

High Energy Physics - Lattice · Physics 2008-11-26 S. J. Dong , T. Draper , I. Horvath , N. Isgur , F. X. Lee , J. McCune , J. B. Zhang , H. B. Thacker

We have recently presented evidence that in configurations dominating the regularized pure-glue QCD path integral, the topological charge density constructed from overlap Dirac operator organizes into an ordered space-time structure. It was…

High Energy Physics - Lattice · Physics 2008-11-26 I. Horvath , A. Alexandru , J. B. Zhang , Y. Chen , S. J. Dong , T. Draper , F. X. Lee , K. F. Liu , N. Mathur , S. Tamhankar , H. B. Thacker