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Related papers: On quantifying the topological charge in micromagn…

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We calculate perturbative renormalization properties of the topological charge, using the standard lattice discretization given by a product of twisted plaquettes. We use the overlap and clover action for fermions, and the Symanzik improved…

High Energy Physics - Lattice · Physics 2009-11-11 A. Skouroupathis , H. Panagopoulos

We propose a new lattice action for non-abelian gauge theories, which will reduce short-range lattice artifacts in the computation of the topological susceptibility. The standard Wilson action is replaced by the Wilson action of a gauge…

High Energy Physics - Lattice · Physics 2009-09-15 Pilar Hernandez , Raman Sundrum

We investigate the interaction dependence of the liquid-gas critical point of symmetric nuclear matter in finite-temperature lattice effective field theory. Building on the pinhole-trace algorithm, we benchmark a first-order perturbative…

Nuclear Theory · Physics 2026-04-21 Osman Agar , Zhengxue Ren , Serdar Elhatisari

We study the topological charge and the topological susceptibility in lattice QCD with two degenerate flavors of naive Wilson fermions at two values of lattice spacings and different volumes, for a range of quark masses. Configurations are…

High Energy Physics - Lattice · Physics 2011-11-09 Abhishek Chowdhury , Asit K. De , Sangita De Sarkar , A. Harindranath , Santanu Mondal , Anwesa Sarkar , Jyotirmoy Maiti

In a somewhat overlooked work by Seiberg, a definition of the topological charge for SU(N) lattice fields was given. Here, it is shown that Seibergs and L\"{u}schers charge definition are related up to the section of the bundle. With the…

High Energy Physics - Lattice · Physics 2007-05-23 M. L. Laursen

We present results on QCD with four dynamical flavors in the temperature range $0.9 \lesssim T/T_c \lesssim 2$. We have performed lattice simulations with Wilson fermions at maximal twist and measured the topological charge with gluonic and…

High Energy Physics - Lattice · Physics 2018-03-14 Florian Burger , Ernst-Michael Ilgenfritz , Maria Paola Lombardo , Michael Müller-Preussker , Anton Trunin

We report on the design, verification and performance of mumax3, an open-source GPU-accelerated micromagnetic simulation program. This software solves the time- and space dependent magnetization evolution in nano- to micro scale magnets…

Photonic computing offers a low-power, high-bandwidth paradigm for information processing; however, the analogue nature of conventional architectures means that intrinsic noise and fabrication imperfections greatly impact performance,…

Recently a new method to set the scale in lattice gauge theories, based on the gradient flow generated by the Wilson action, has been proposed, and the systematic errors of the new scales t0 and w0 have been investigated by various groups.…

High Energy Physics - Lattice · Physics 2017-02-03 Georg Bergner , Pietro Giudice , Istvan Montvay , Gernot Münster , Stefano Piemonte

An ongoing effort to compute the topological susceptibility for the SU(3) Yang-Mills theory in the continuum limit with a precison of about 2% is reported. The susceptibility is computed by using the definition of the charge suggested by…

High Energy Physics - Lattice · Physics 2010-02-03 Leonardo Giusti , Bruno Taglienti , Silvano Petrarca

Topological charge susceptibility $\chi_{t}$ for pure gauge SU(3) theory at finite temperature is studied using anisotropic lattices. The over-improved stout-link smoothing method is utilized to calculate the topological charge. Near the…

High Energy Physics - Lattice · Physics 2015-11-11 Guang-Yi Xiong , Jian-Bo Zhang , Ying Chen , Chuan Liu , Yu-Bin Liu , Jian-Ping Ma

We analyze topological charge contributions from classical SU(2) center vortices with shapes of planes and spheres using different topological charge definitions, namely the center vortex picture of topological charge, a discrete version of…

High Energy Physics - Lattice · Physics 2013-05-30 R. Höllwieser , M. Faber , U. M. Heller

Global topological charge decorrelates very slowly or even freezes in fine lattice simulations. On the other hand, its local fluctuations are expected to survive and lead to the correct physical results as long as the volume is large…

High Energy Physics - Lattice · Physics 2014-11-17 JLQCD collaboration , H. Fukaya , S. Aoki , G. Cossu , S. Hashimoto , T. Kaneko , J. Noaki

We compare lattice QCD determinations of topological susceptibility using a gluonic definition from the gradient flow and a fermionic definition from the spectral projector method. We use ensembles with dynamical light, strange and charm…

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

In this paper we present a topology optimization technique applicable to a broad range of flow design problems. We propose also a discrete adjoint formulation effective for a wide class of Lattice Boltzmann Methods (LBM). This adjoint…

Computational Engineering, Finance, and Science · Computer Science 2015-01-21 Łukasz Łaniewski-Wołłk , Jacek Rokicki

Photonic modes exhibiting a polarization winding akin to a vortex possess an integer topological charge. Lasing with topological charge 1 or 2 can be realized in periodic lattices of up to six-fold rotational symmetry. Higher order charges…

We use lattice topology as a laboratory to compare the Wilson action (WA) with the Symanzik-Weisz (SW) action constructed from a combination of (1x1) and (1x2) Wilson loops, and the estimate of the renormalization trajectory (RT) from a…

High Energy Physics - Lattice · Physics 2009-10-28 J. Grandy , G. Kilcup

We study the topological charge distribution of the SU(3) Yang--Mills theory with high precision in order to be able to detect deviations from Gaussianity. The computation is carried out on the lattice with high statistics Monte Carlo…

High Energy Physics - Lattice · Physics 2015-10-12 Marco Cè , Cristian Consonni , Georg P. Engel , Leonardo Giusti

Motivated by the connection between gauge field topology and the axial anomaly in fermion currents, I use the fourth power of the naive Dirac operator to define a local lattice measure of topological charge. For smooth gauge fields this…

High Energy Physics - Lattice · Physics 2011-03-07 Michael Creutz