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We measure the topological charge of the gauge configurations generated by lattice simulations of 2 flavors QCD on a $ 16^3 \times 32 $ lattice, with Optimal Domain-Wall Fermion (ODWF) at $ N_s = 16 $ and plaquette gauge action at $ \beta =…

High Energy Physics - Lattice · Physics 2011-02-16 Tung-Han Hsieh , Ting-Wai Chiu , Yao-Yuan Mao

We explore gauge actions for lattice QCD, which are constructed such that the occurrence of small plaquette values is strongly suppressed. Such actions originate from the admissibility condition in order to conserve the topological charge.…

High Energy Physics - Lattice · Physics 2016-09-01 K. -i. Nagai , K. Jansen , W. Bietenholz , L. Scorzato , S. Necco , S. Shcheredin

The status of topology on the lattice is reviewed. Recent results show that the topological susceptibility chi can be unambigously determined. Different methods, if properly implemented, give results consistent with each other. For SU(3)…

High Energy Physics - Lattice · Physics 2007-05-23 A. Di Giacomo

Lattice QCD simulations tend to become stuck in a single topological sector at fine lattice spacing or when using chirally symmetric overlap quarks. In such cases physical observables differ from their full QCD counterparts by finite volume…

High Energy Physics - Lattice · Physics 2014-10-16 Arthur Dromard , Marc Wagner

We investigate topology in lattice simulations of QCD with two flavours of dynamical Wilson fermions. At various sea quark masses we find reasonable agreement between results for the topological charge from fermionic and gluonic…

High Energy Physics - Lattice · Physics 2008-11-26 Gunnar S. Bali , Norbert Eicker , Thomas Lippert , Hartmut Neff , Boris Orth , Klaus Schilling , Thorsten Struckmann , Jochen Viehoff

We study the impact of the Gradient Flow on the topology in various models of lattice field theory. The topological susceptibility $\chi_{\rm t}$ is measured directly, and by the slab method, which is based on the topological content of…

Lattice QCD simulations tend to get stuck in a single topological sector at fine lattice spacing, or when using chirally symmetric quarks. In such cases computed observables differ from their full QCD counterparts by finite volume…

High Energy Physics - Lattice · Physics 2015-05-14 Arthur Dromard , Wolfgang Bietenholz , Urs Gerber , Héctor Mejía-Díaz , Marc Wagner

We study the critical slowing down towards the continuum limit of lattice QCD simulations with Hybrid Monte Carlo type algorithms. In particular for the squared topological charge we find it to be very severe with an effective dynamical…

High Energy Physics - Lattice · Physics 2011-01-04 Stefan Schaefer , Rainer Sommer , Francesco Virotta

We perform dynamical QCD simulations with $n_f=2$ overlap fermions by hybrid Monte-Carlo method on $6^4$ to $8^3\times 16$ lattices. We study the problem of topological sector changing. A new method is proposed which works without…

High Energy Physics - Lattice · Physics 2009-11-11 G. I. Egri , Z. Fodor , S. D. Katz , K. K. Szabo

In a previous paper \cite{Jahn:2018dke} we presented a methodology for computing the topological susceptibility of QCD at temperatures where it is small and standard methods fail. Here we improve on this methodology by removing two barriers…

High Energy Physics - Lattice · Physics 2020-02-05 P. Thomas Jahn , Guy D. Moore , Daniel Robaina

Standard sampling algorithms for lattice QCD suffer from topology freezing (or critical slowing down) when approaching the continuum limit, thus leading to poor sampling of the distinct topological sectors. I will present a modified…

High Energy Physics - Lattice · Physics 2021-11-11 David Albandea , Pilar Hernández , Alberto Ramos , Fernando Romero-López

We discuss properties of thermal Quantum Chromodynamics obtained by means of lattice simulations with overlap fermions. This fermion discretisation preserves chiral symmetry at finite lattice spacing. We present details of the formulation…

High Energy Physics - Lattice · Physics 2025-10-30 Z. Fodor , A. Yu. Kotov , T. G. Kovacs , K. K. Szabo

Chiral perturbation theory predicts that in quantum chromodymamics light dynamical quarks suppress the topological (instanton) susceptibility. We investigate this suppression through direct numerical simulation using the Asqtad improved…

High Energy Physics - Lattice · Physics 2008-11-26 C. Bernard , T. DeGrand , C. DeTar , Steven Gottlieb , E. Gregory , A. Hart , A. Hasenfratz , Urs Heller , J. Hetrick , J. Osborn , R. Sugar , D. Toussaint

The topological charge is constructed for SU(3) center vortex world-surfaces composed of elementary squares on a hypercubic lattice. In distinction to the SU(2) case investigated previously, it is necessary to devise a proper treatment of…

High Energy Physics - Lattice · Physics 2009-08-25 Michael Engelhardt

We survey recent lattice results on QCD topological properties. The behaviour of the topological susceptibility at the deconfining phase transition has been determined. This advance has been made possible by an i) an improvement of the…

High Energy Physics - Lattice · Physics 2007-05-23 B. Alles , G. Boyd , M. D'Elia , A. Di Giacomo

At small lattice spacing, or when using overlap fermions, lattice QCD simulations tend to become stuck in a single topological sector. Physical observables, e.g.\ hadron masses, then differ from their full QCD counterparts by $1/V$…

High Energy Physics - Lattice · Physics 2014-10-03 Christopher Czaban , Arthur Dromard , Marc Wagner

We compute the topological susceptibility $\chi_t$ of lattice QCD with $2+1$ dynamical quark flavors described by the M\"obius domain wall fermion. Violation of chiral symmetry as measured by the residual mass is kept at $\sim$1 MeV or…

High Energy Physics - Lattice · Physics 2019-12-06 S. Aoki , G. Cossu , H. Fukaya , S. Hashimoto , T. Kaneko

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

The topological susceptibility is one of the quantities that has a large discretization error, and the error can be sensitive to the choice of fermion action. We report on our results from physical point simulations with 2+1 flavor M\"obius…

High Energy Physics - Lattice · Physics 2026-03-25 Issaku Kanamori , Yasumichi Aoki , Hidenori Fukaya , Jishnu Goswami , Shoji Hashimotod , Yu Zhang

We review the method developed in Pisa to determine the topological susceptibility in lattice QCD and present a collection of new and old results obtained by the method.

High Energy Physics - Lattice · Physics 2007-05-23 B. Alles , M. D'Elia