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An old and apparently persistent problem in numerical lattice QCD is that the simulations tend to get trapped in a sector of fixed topological charge when the lattice spacing is taken to zero. The effect sets in very rapidly and may…

High Energy Physics - Lattice · Physics 2014-01-28 Martin Lüscher

We report first calculations of the topological susceptibility measured using the field theoretic method on SU(3) gauge configurations produced by the UKQCD collaboration with two flavours of dynamical, improved, Wilson fermions. Using…

High Energy Physics - Lattice · Physics 2015-06-25 A. Hart , M. Teper

At small lattice spacing QCD simulations are expected to become stuck in a single topological sector. Observables evaluated in a fixed topological sector differ from their counterparts in full QCD, i.e. at unfixed topology, by volume…

High Energy Physics - Lattice · Physics 2016-01-19 Christopher Czaban , Marc Wagner

Recent lattice data from CP-PACS, UKQCD, SESAM/TXL and the Pisa group regarding the quark mass dependence of the topological susceptibility in 2-flavour QCD are compared to each other and to theoretical expectations. The latter get…

High Energy Physics - Lattice · Physics 2009-11-07 Stephan Dürr

Axion cosmology needs the QCD topological susceptibility between 400 and 1100 MeV. In this range the bottom quark is inconvenient to include in lattice simulations, but not heavy enough to ignore. We estimate its effect on the…

High Energy Physics - Phenomenology · Physics 2025-11-07 Bruno Högl , Guy D. Moore

We present the first determination of the topological susceptibility from lattice QCD in the presence of strong background magnetic fields. Our simulations employ 2+1 flavours of stout improved staggered quarks with physical masses and…

High Energy Physics - Lattice · Physics 2025-01-22 B. B. Brandt , G. Endrődi , J. J. Hernández Hernández , G. Markó

We study the two-point Topological Charge Density Correlator (TCDC) in lattice QCD with two degenerate flavours of unimproved Wilson fermions and Wilson gauge action at two values of lattice spacings and different volumes, for a range of…

High Energy Physics - Lattice · Physics 2013-01-11 Abhishek Chowdhury , Asit K. De , A. Harindranath , Jyotirmoy Maiti , Santanu Mondal

We determine the topological susceptibility \chi_t in the topologically-trivial sector generated by lattice simulations of N_f = 2+1 QCD with overlap Dirac fermion, on a 16^3 x 48 lattice with lattice spacing ~ 0.11 fm, for five sea quark…

High Energy Physics - Lattice · Physics 2010-01-21 T. W. Chiu , S. Aoki , S. Hashimoto , T. H. Hsieh , T. Kaneko , H. Matsufuru , J. Noaki , T. Onogi , N. Yamada

We compute the topological susceptibility $\chi_t$ of 2+1-flavor lattice QCD with dynamical M\"obius domain-wall fermions, whose residual mass is kept at 1 MeV or smaller. In our analysis, we focus on the fluctuation of the topological…

High Energy Physics - Lattice · Physics 2018-04-18 Sinya Aoki , Guido Cossu , Hidenori Fukaya , Shoji Hashimoto , Takashi Kaneko

We study lattice QCD with a gauge action, which suppresses small plaquette values. Thus the MC history is confined to a single topological sector over a significant time, while other observables are decorrelated. This enables the cumulation…

High Energy Physics - Lattice · Physics 2009-11-10 S. Shcheredin , W. Bietenholz , K. Jansen , K. -I. Nagai , S. Necco , L. Scorzato

A detailed comparison is made between the field-theoretic and geometric definitions of topological charge density on the lattice. Their renormalizations with respect to continuum are analysed. The definition of the topological…

High Energy Physics - Lattice · Physics 2008-11-26 B. Alles , M. D'Elia , A. Di Giacomo , R. Kirchner

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…

High Energy Physics - Lattice · Physics 2017-09-01 You-Hao Zou , Jian-Bo Zhang , Guang-Yi Xiong , Ying Chen , Chuan Liu , Yu-Bin Liu , Jian-Ping Ma

We study the topological susceptibility in 2+1 flavor QCD above the chiral crossover transition temperature using Highly Improved Staggered Quark action and several lattice spacings, corresponding to temporal extent of the lattice,…

High Energy Physics - Lattice · Physics 2016-11-29 Peter Petreczky , Hans-Peter Schadler , Sayantan Sharma

Lattice computations are the only first principle method capable of quantitatively assessing the topological properties of QCD at high temperature, however the numerical determination of the topological properties of QCD, especially in the…

High Energy Physics - Lattice · Physics 2018-04-18 Claudio Bonati

In finite volume the partition function of QCD with a given $\theta$ is a sum of different topological sectors with a weight primarily determined by the topological susceptibility. If a physical observable is evaluated only in a fixed…

High Energy Physics - Lattice · Physics 2008-11-26 Sinya Aoki , Hidenori Fukaya , Shoji Hashimoto , Tetsuya Onogi

The topological susceptibility is one of the few physical quantities that directly measure the properties of the QCD vacuum. Chiral perturbation theory predicts that in the small quark mass limit the topological susceptibility depends…

High Energy Physics - Lattice · Physics 2009-11-07 Anna Hasenfratz

We consider models with topological sectors, and difficulties with their Monte Carlo simulation. In particular we are concerned with the situation where a simulation has an extremely long auto-correlation time with respect to the…

High Energy Physics - Lattice · Physics 2014-02-13 Irais Bautista , Wolfgang Bietenholz , Urs Gerber , Christoph P. Hofmann , Héctor Mejía-Díaz , Lilian Prado

We study topology in Quantum Chromodynamics at high temperatures by means of lattice calculations. Simulations are performed with $N_f=2+1+1$ Wilson twisted mass fermions at maximal twist with physical quark masses, and temperatures…

High Energy Physics - Lattice · Physics 2025-09-08 A. Yu. Kotov , M. P. Lombardo , A. Trunin

We study the two-point Topological Charge Density Correlator (TCDC) in lattice QCD with two degenerate flavours of naive Wilson fermions and unimproved Wilson gauge action at two values of lattice spacings and different volumes, for a range…

High Energy Physics - Lattice · Physics 2012-12-03 Abhishek Chowdhury , Asit K. De , A. Harindranath , Jyotirmoy Maiti , Santanu Mondal

In the lattice CP(N) models we studied the problems related to the measure of the topological susceptibility and the string tension . We perfomed numerical simulations at N=4 and N=10. In order to test the universality, we adopted two…

High Energy Physics - Lattice · Physics 2016-08-31 M. Campostrini , P. Rossi , E. Vicari