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New results on the topology of the SU(2) Yang-Mills theory are presented. At zero temperature we obtain the value of the topological susceptibility by using the recently introduced smeared operators as well as a properly renormalized…

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

We study topological properties of SU(3) gauge theory using improved cooling. In the absence of fermions, we measure a topological susceptibility of $(182(8) MeV)^4$ and an instanton size $\sim 0.6$ fm. In the presence of light staggered…

High Energy Physics - Lattice · Physics 2016-09-01 Ph. de Forcrand , M. Garcia Perez , J. E. Hetrick , I. -O. Stamatescu

We investigate recently proposed HP1 sigma-model embedding method aimed to study the topology of SU(2) gauge fields. The HP1 based topological charge is shown to be fairly compatible with various known definitions. We study the…

High Energy Physics - Lattice · Physics 2009-11-11 P. Yu. Boyko , F. V. Gubarev , S. M. Morozov

In QCD simulations at small lattice spacings, the topological charge Q evolves very slowly and, if this quantity is not properly equilibrated, we could get incorrect results for physical quantities, or incorrect estimates of their errors.…

High Energy Physics - Lattice · Physics 2016-11-15 Claude Bernard , Doug Toussaint

We study a number of different ingredients related to $\theta$ dependence, the non-dispersive contribution in topological susceptibility with the "wrong" sign, topological sectors in gauge theories, and related subjects using a simple…

High Energy Physics - Theory · Physics 2012-12-21 Evan Thomas , Ariel R. Zhitnitsky

We show that, if the formula for the topological charge density operator suggested by fermions obeying the Ginsparg-Wilson relation is employed, it is possible to give a precise and unambiguous definition of the topological susceptibility…

High Energy Physics - Lattice · Physics 2009-11-10 L. Giusti , G. C. Rossi , M. Testa

We study the topological charge fluctuations of an SU(2) lattice gauge theory containing both N_f=2 and 4 flavors of Wilson fermion, at low temperature with non-zero chemical potential $\mu$. The topological susceptibility, chi_T, is used…

High Energy Physics - Lattice · Physics 2015-05-27 Simon Hands , Philip Kenny

The 2d Heisenberg model --- or 2d O(3) model --- is popular in condensed matter physics, and in particle physics as a toy model for QCD. Along with other analogies, it shares with 4d Yang-Mills theories, and with QCD, the property that the…

High Energy Physics - Lattice · Physics 2017-11-22 Ilya O. Sandoval , Wolfgang Bietenholz , Philippe de Forcrand , Urs Gerber , Héctor Mejía-Díaz

We present a theoretically consistent definition of the topological charge operator based on renormalization group arguments. Results of the measurement of the topological susceptibility at zero and finite temperature for SU(2) gauge theory…

High Energy Physics - Lattice · Physics 2016-09-01 Thomas A. DeGrand , Anna Hasenfratz , Decai Zhu

The anomalous scaling behavior of the topological susceptibility $\chi_t$ in two-dimensional $CP^{N-1}$ sigma models for $N\leq 3$ is studied using the overlap Dirac operator construction of the lattice topological charge density. The…

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

The chiral symmetry at finite lattice spacing of Ginsparg-Wilson fermionic actions constrains the renormalization of the lattice operators; in particular, the topological susceptibility does not require any renormalization, when using a…

High Energy Physics - Lattice · Physics 2009-11-10 Luigi Del Debbio , Claudio Pica

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

We investigate the topological properties of $N_f = 2+1$ QCD with physical quark masses, at temperatures around 500 MeV. With the aim of obtaining a reliable sampling of topological modes in a regime where the fluctuations of the…

High Energy Physics - Lattice · Physics 2018-12-12 Claudio Bonati , Massimo D'Elia , Guido Martinelli , Francesco Negro , Francesco Sanfilippo , Antonino Todaro

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

We investigate the large-N behavior of the topological susceptibility in four-dimensional SU(N) gauge theories at finite temperature, and in particular across the finite-temperature transition at Tc. For this purpose, we consider the…

High Energy Physics - Theory · Physics 2008-11-26 Luigi Del Debbio , Haralambos Panagopoulos , Ettore Vicari

We study the topological feature in the QCD vacuum based on the hypothesis of abelian dominance. The topological charge $Q_{\rm SU(2)}$ can be explicitly represented in terms of the monopole current in the abelian dominated system. To…

High Energy Physics - Lattice · Physics 2009-10-31 Shoichi Sasaki , Osamu Miyamura

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

The topological susceptibility of the SU(3) random vortex world-surface ensemble, an effective model of infrared Yang-Mills dynamics, is investigated. The model is implemented by composing vortex world-surfaces of elementary squares on a…

High Energy Physics - Lattice · Physics 2011-02-01 Michael Engelhardt

We determine the topological susceptibility of the gauge configurations generated by lattice simulations using two flavors of optimal domain-wall fermion on the $ 16^3 \times 32 $ lattice with length 16 in the fifth dimension, at the…

High Energy Physics - Lattice · Physics 2015-03-19 Ting-Wai Chiu , Tung-Han Hsieh , Yao-Yuan Mao

Within the framework of SU(2) chiral perturbation theory, we derive the general solution of the QCD $\theta$-vacuum for an arbitrary vacuum phase, explicitly incorporating isospin-breaking effects from the light quark mass difference, and…

High Energy Physics - Phenomenology · Physics 2026-03-05 Zhen-Yan Lu , Quan Tang , Shu-Peng Wang , Yang Huang , Zhen Zhang , Bonan Zhang
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