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相关论文: Estimating $\chi_\mathrm{top}$ Lattice Artifacts f…

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Fluctuations play a key role in the study of QCD phases. Lattice QCD is a valuable tool to calculate them, but going to high orders is challenging. Up to the fourth order, continuum results are available since 2015. We present the first…

We study the parametrization of lattice spacing and thermodynamics of SU(3) gauge theory on the basis of the Yang-Mills gradient flow on fine lattices. The lattice spacing of the Wilson gauge action is determined over a wide range…

高能物理 - 格点 · 物理学 2015-11-18 Masakiyo Kitazawa , Masayuki Asakawa , Tetsuo Hatsuda , Takumi Iritani , Etsuko Itou , Hiroshi Suzuki

We perform hybrid Monte-Carlo (HMC) simulation of lattice QCD with $N_f=2+1+1$ domain-wall quarks at the physical point, on the $64^3 \times (64,20,16,12,10,8,6)$ lattices, each with three lattice spacings. The lattice spacings and the bare…

高能物理 - 格点 · 物理学 2022-10-13 Yu-Chih Chen , Ting-Wai Chiu , Tung-Han Hsieh

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…

高能物理 - 格点 · 物理学 2023-02-08 Claudio Bonanno

Using Monte Carlo simulations with overrelaxation, we have equilibrated lattices up to $\beta=2.928$, size $60^4$, for pure SU(2) lattice gauge theory with the Wilson action. We calculate topological charges with the standard cooling method…

高能物理 - 格点 · 物理学 2019-03-06 Bernd A. Berg , David A. Clarke

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…

高能物理 - 格点 · 物理学 2018-04-18 Claudio Bonati

Finite cut-off effects strongly influence the thermodynamics of lattice regularized QCD at high temperature in the standard Wilson formulation. We analyze the reduction of finite cut-off effects in formulations of the thermodynamics of…

高能物理 - 格点 · 物理学 2009-10-28 B. Beinlich , F. Karsch , E. Laermann

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,…

高能物理 - 格点 · 物理学 2016-11-29 Peter Petreczky , Hans-Peter Schadler , Sayantan Sharma

We present a precise computation of the topological susceptibility $\chi_{_\mathrm{YM}}$ of SU$(N)$ Yang-Mills theory in the large $N$ limit. The computation is done on the lattice, using high-statistics Monte Carlo simulations with $N=3,…

高能物理 - 格点 · 物理学 2016-10-28 Marco Cè , Miguel García Vera , Leonardo Giusti , Stefan Schaefer

We compute $t_0$, $w_0$ and the topological susceptibility, defined at finite gradient flow time for two-flavour QCD. The use of three lattice spacings and pion masses between 192 and 500 MeV together with a careful error analysis allow to…

高能物理 - 格点 · 物理学 2014-04-18 Mattia Bruno , Rainer Sommer

We calculate the topological susceptibility at 2.5 Tc and 4.1 Tc in SU(3) pure Yang-Mills theory. We define topology with the help of gradient flow and we largely overcome the problem of poor statistics at high temperatures by applying a…

高能物理 - 格点 · 物理学 2018-09-26 P. Thomas Jahn , Guy D. Moore , Daniel Robaina

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…

高能物理 - 格点 · 物理学 2017-11-22 Ilya O. Sandoval , Wolfgang Bietenholz , Philippe de Forcrand , Urs Gerber , Héctor Mejía-Díaz

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…

高能物理 - 格点 · 物理学 2019-11-26 Leonardo Giusti , Martin Lüscher

In order to understand the role of QCD in the early universe, we perform hybrid Monte-Carlo simulation of lattice QCD with $N_f=2+1+1$ optimal domain-wall quarks at the physical point, on the $64^3 \times (6,8,10,12,16,20,64)$ lattices,…

高能物理 - 格点 · 物理学 2022-09-21 Yu-Chih Chen , Ting-Wai Chiu , Tung-Han Hsieh

The 2d O(3) model is widely used as a toy model for ferromagnetism and for Quantum Chromodynamics. With the latter it shares --- among other basic aspects --- the property that the continuum functional integral splits into topological…

高能物理 - 格点 · 物理学 2018-12-12 Wolfgang Bietenholz , Philippe de Forcrand , Urs Gerber , Héctor Mejía-Díaz , Ilya O. Sandoval

Recent applications of machine-learned normalizing flows to sampling in lattice field theory suggest that such methods may be able to mitigate critical slowing down and topological freezing. However, these demonstrations have been at the…

We measure the topological susceptibility of quenched QCD on the lattice at two high temperatures. For this, we define topology with the help of gradient flow and mitigate the statistical problem of topology at high temperatures using a…

高能物理 - 格点 · 物理学 2018-11-01 P. Thomas Jahn , Guy D. Moore , Daniel Robaina

Using lattice QCD simulations with $O(a)$-improved Wilson quarks and physical up, down and strange quark masses, we investigate the properties of thermal QCD matter at the temperatures $T=\{128,154,192\}\mathrm{MeV}$ with a fixed lattice…

高能物理 - 格点 · 物理学 2024-07-03 Ardit Krasniqi , Marco Cè , Renwick J. Hudspith , Harvey B. Meyer

The transition temperature ($T_c$) of QCD is determined by Symanzik improved gauge and stout-link improved staggered fermionic lattice simulations. We use physical masses both for the light quarks ($m_{ud}$) and for the strange quark…

高能物理 - 格点 · 物理学 2008-11-26 Y. Aoki , Z. Fodor , S. D. Katz , K. K. Szabo

Scaling behavior is analyzed for the two-flavor QCD lattice gauge theory chiral transition. Leading scaling behavior and correction to leading scaling from lattice spacing effects are examined for the quark condensate. Scaling predictions…

高能物理 - 唯象学 · 物理学 2009-10-28 Arjun Berera