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We show how the topological susceptibility in the Minkowskian theory of QCD is related to the corresponding quantity in the Euclidean theory, which is measured on the lattice. We discuss both the zero-temperature case (T = 0) and the…

High Energy Physics - Theory · Physics 2009-10-31 Enrico Meggiolaro

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 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

The topological susceptibility is computed in the SU(3) gauge theory at temperatures $T$ above the critical temperature $T_{\rm c}$ using master-field simulations of very large lattices, where the infamous topology-freezing issue is…

High Energy Physics - Lattice · Physics 2019-11-26 Leonardo Giusti , Martin Lüscher

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 compute the topological susceptibility slope $\chi^\prime$, related to the second moment of the two-point correlator of the topological charge density, of $2d$ $\mathrm{CP}^{N-1}$ models for $N=5,11,21$ and $31$ from lattice Monte Carlo…

High Energy Physics - Lattice · Physics 2023-02-08 Claudio Bonanno

We study the Euclidean two-point correlation function $G_q(x)$ of the topological charge density in QCD. A general statement based on reflection positivity tells us that $G_q(x)<0$ for $x\neq 0 $. On the other hand the topological…

High Energy Physics - Lattice · Physics 2011-08-17 Ettore Vicari

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

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 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

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

We apply a machine learning technique for identifying the topological charge of quantum gauge configurations in four-dimensional SU(3) Yang-Mills theory. The topological charge density measured on the original and smoothed gauge…

High Energy Physics - Lattice · Physics 2021-02-01 Takuya Matsumoto , Masakiyo Kitazawa , Yasuhiro Kohno

We compute the topological charge and its susceptibility in finite temperature (2+1)-flavor QCD on the lattice applying a gradient flow method. With the Iwasaki gauge action and nonperturbatively $O(a)$-improved Wilson quarks, we perform…

High Energy Physics - Lattice · Physics 2017-08-31 Yusuke Taniguchi , Kazuyuki Kanaya , Hiroshi Suzuki , Takashi Umeda

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

The temperature dependence of the topological susceptibility in QCD, chi_t, essentially determines the abundance of the QCD axion in the Universe, and is commonly estimated, based on the instanton picture, to be a certain negative power of…

High Energy Physics - Phenomenology · Physics 2015-10-22 Ryuichiro Kitano , Norikazu Yamada

We determine the pure-gauge $\mathrm{SU}(3)$ topological susceptibility slope $\chi^\prime$, related to the next-to-leading-order term of the momentum expansion of the topological charge density 2-point correlator, from numerical lattice…

High Energy Physics - Lattice · Physics 2024-01-03 Claudio Bonanno

The topological susceptibility of the SU(3) pure gauge theory is calculated in the deconfined phase at temperatures up to $10T_c$. At such large temperatures the susceptibility is suppressed, topologically non-trivial configurations are…

High Energy Physics - Lattice · Physics 2021-02-26 Szablocs Borsanyi , Dénes Sexty

We employ a machine learning technique for an estimate of the topological charge $Q$ of gauge configurations in SU(3) Yang-Mills theory in vacuum. As a first trial, we feed the four-dimensional topological charge density with and without…

High Energy Physics - Lattice · Physics 2020-01-01 Masakiyo Kitazawa , Takuya Matsumoto , Yasuhiro Kohno

We present a high-precision study of the topological susceptibility in $SU(3)$ pure gauge theory in four space-time dimensions. The result is based on ensembles at seven lattice spacings and in seven physical volumes to facilitate a…

High Energy Physics - Lattice · Physics 2026-04-17 Stephan Durr , Gianluca Fuwa

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