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Gribov copy effects in the maximal Abelian gauge 最大阿贝尔规中的格里波夫复制效应
Pub Date : 2024-09-01 DOI: arxiv-2409.00691
I. E. Kudrov, V. G. Bornyakov
We study effects of Gribov copies in the Maximal Abelian gauge in $SU(3)$lattice gluodynamics. We confirm earlier results that with effective gaugefixing algorithm one finds Gribov copies of the maximal Abelian gauge whichproduce about 90% of the nonabelian string tension after Abelian projection.At the same time using much less effective relaxation algorithm one findsGribov copies with nice Abelian dominance for the string tension.
我们研究了最大阿贝尔规的格里波夫副本在$SU(3)$格子胶流力学中的影响。我们证实了之前的结果,即使用有效的轨距固定算法,可以找到最大阿贝尔轨距的格里波夫副本,这些副本在阿贝尔投影后产生了大约90%的非阿贝尔弦张力。
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引用次数: 0
Lattice artifacts of local fermion bilinears up to $mathrm{O}(a^2)$ 高达 $mathrm{O}(a^2)$ 的局部费米子双线性的晶格伪影
Pub Date : 2024-09-01 DOI: arxiv-2409.00776
Nikolai Husung
Recently the asymptotic lattice spacing dependence of spectral quantities inlattice QCD has been computed to $mathrm{O}(a^2)$ using Symanzik Effectivetheory [1,2]. Here, we extend these results to matrix elements and correlatorsof local fermion bilinears, namely the scalar, pseudo-scalar, vector,axial-vector, and tensor. This resembles the typical current insertions for theeffective Hamiltonian of electro-weak or BSM contributions, but is only a smallfraction of the local fields typically considered. We again restrictconsiderations to lattice QCD actions with Wilson or Ginsparg-Wilson quarks andthus lattice formulations of QCD without flavour-changing interactionsrealising at least$mathrm{SU}(N_mathrm{f})_mathrm{V}timesmathrm{SU}(N_mathrm{b}|N_mathrm{b})_mathrm{V}$flavour symmetries for $N_mathrm{f}$ sea-quarks and $N_mathrm{b}$ quenchedvalence-quarks respectively in the massless limit. Overall we find only fewcases $hat{Gamma}$, which worsen the asymptotic lattice spacing dependence$a^n[2b_0bar{g}^2(1/a)]^{hat{Gamma}}$ compared to the classically expected$a^n$-scaling. Other than for trivial flavour quantum numbers, only theaxial-vector and much milder the tensor may cause some problems at$mathrm{O}(a)$, strongly suggesting to use at least tree-level Symanzikimprovement of those local fields.
最近,我们利用Symanzik有效理论[1,2]计算了QCD晶格中谱量的渐近晶格间距依赖性,其值为$mathrm{O}(a^2)$。在这里,我们将这些结果扩展到局部费米子双线性的矩阵元素和相关子,即标量、伪标量、矢量、轴矢量和张量。这类似于弱电或 BSM 贡献的有效哈密顿的典型电流插入,但只是通常考虑的局部场的一小部分。我们再次把考虑限制在具有威尔逊或金斯帕-威尔逊夸克的 QCD 晶格作用上,因此,没有味道变化相互作用的 QCD 晶格形式至少能实现$1,000,000。(N_mathrm{f})_mathrm{V}timesmathrm{SU}(N_mathrm{b}|N_mathrm{b})_mathrm{V}$在无质量极限下分别为$N_mathrm{f}$海夸克和$N_mathrm{b}$淬火夸克实现至少$flavour对称性。总体而言,我们发现只有少数情况下$hat/{Gamma}$会恶化渐近晶格间距依赖性$a^n[2b_0bar{g}^2(1/a)]^{hat/{Gamma}}$,而不是经典预期的$a^n$缩放。除了微不足道的味道量子数之外,只有轴向矢量和温和得多的张量可能会在$mathrm{O}(a)$引起一些问题,这强烈建议对这些局部场使用至少树级的 Symanzikimprovement。
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引用次数: 0
Generalized BKT Transitions and Persistent Order on the Lattice 广义 BKT 晶体转变和晶格上的持久有序性
Pub Date : 2024-08-31 DOI: arxiv-2409.00502
Evan Berkowitz, Seth Buesing, Shi Chen, Aleksey Cherman, Srimoyee Sen
The BKT transition in low-dimensional systems with a $U(1)$ global symmetryseparates a gapless conformal phase from a trivially gapped, disordered phase,and is driven by vortex proliferation. Recent developments in modified Villaindiscretizations provide a class of lattice models which have a $mathbb{Z}_W$global symmetry that counts vortices mod W, mixed 't Hooft anomalies, andpersistent order even at finite lattice spacing. While there is nofully-disordered phase (except in the original BKT limit $W=1$) there is stilla phase boundary which separates gapped ordered phases from gapless phases.I'll describe a numerical Monte Carlo exploration of these phenomena.
在具有$U(1)$全局对称性的低维系统中,BKT转变将无间隙共形相与三间隙无序相区分开来,并且是由涡旋增殖驱动的。修正的维兰分解法的最新发展提供了一类晶格模型,它们具有$mathbb{Z}_W$全局对称性,可以计算涡旋模W、混合的't Hooft反常现象以及即使在有限晶格间距下也持续存在的有序性。虽然不存在完全无序的相位(除了在最初的 BKT 极限 $W=1$),但仍有一个相界将有序相位和无序相位分开。
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引用次数: 0
Lattice spectra of $DDK$ three-body system with Lorentz covariant kinematic 具有洛伦兹协变量运动学的 $DDK$ 三体系统的晶格光谱
Pub Date : 2024-08-29 DOI: arxiv-2408.16590
Qi-Chao Xiao, Jin-Yi Pang, Jia-Jun Wu
The $DDK$ system has gain increasing attention in recent research due to itspotential to contain a three-hadron bound state. This article utilizes anextension of the Non-Relativistic Effective Field Theory (NREFT) and the finitevolume particle-dimer framework to derive Lorentz-invariant quantizationconditions for the $DDK$ three-body system. Using current model inputconditions, the finite volume energy spectrum of the $DDK$ three-body systemwas calculated. This new calculation incorporates relativistic kinematics,allowing it to be applicable across a broader energy range starting from thethreshold. In this work, we present a comprehensive ( O(p^{2}) ) calculation.The spurious pole is effectively subtracted within the framework ofrelativistic kinematics. The spectra in the moving frame are also obtained.These analyses provide a broader testing ground for future lattice simulations.They are expected to reveal more detailed properties of the $DDK$ system andother three-hadron systems.
由于$DDK$系统有可能包含一个三重子束缚态,它在最近的研究中获得了越来越多的关注。本文利用非相对论有效场理论(NREFT)的扩展和有限体积粒子二聚体框架,推导出了$DDK$三体系统的洛伦兹不变量子化条件。利用当前模型的输入条件,计算了$DDK$三体系统的有限体积能谱。这一新计算结合了相对论运动学,使其适用于从阈值开始的更宽能量范围。在这项工作中,我们提出了一种全面的(O(p^{2}) )计算方法,在相对论运动学框架内有效地减去了杂散极点。这些分析为未来的晶格模拟提供了更广阔的试验平台,有望揭示$DDK$系统和其他三重子系统的更多细节特性。
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引用次数: 0
Exploring the $ Ω^- $ spectrum in lattice QCD 探索格子 QCD 中的Ω^- $ 谱
Pub Date : 2024-08-29 DOI: arxiv-2408.16281
Liam Hockley, Waseem Kamleh, Derek Leinweber, Anthony Thomas
We present an exploratory lattice QCD analysis of the $ Omega $-baryonspectrum. Using smeared three-quark operators in a correlation matrix analysis,we report masses for the ground, first and second excited states of the $ J^P =1/2^pm,, 3/2^pm $ spectra across a broad range in the light quark mass. Weinvestigate the parity and spin quantum numbers for the states observed on thelattice, looking to reconcile these with the resonances encountered inexperiment. We find that the $ Omega^-(2012) $ as reported by the ParticleData Group corresponds to two overlapping resonances with $ J^P = 1/2^- $ and $3/2^- $. We also propose quantum number assignments for the higher energyresonances, and identify successive radial excitations within the spectra.
我们提出了一种对 $Omega $重子谱的探索性格子QCD分析。我们在相关矩阵分析中使用了涂抹的三夸克算子,报告了$ J^P =1/2^pm,, 3/2^pm $谱的基态、第一激发态和第二激发态在轻夸克质量的宽范围内的质量。我们研究了在晶格上观测到的态的奇偶性和自旋量子数,试图将它们与实验中遇到的共振相协调。我们发现粒子数据组报告的 $ Omega^-(2012) $ 与 $ J^P = 1/2^- $ 和 $3/2^- $ 的两个重叠共振相对应。 我们还提出了更高能量共振的量子数分配,并确定了光谱内连续的径向激发。
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引用次数: 0
Estimation of the pseudoscalar glueball mass based on a modified Transformer 基于改良变压器的伪星胶球质量估算
Pub Date : 2024-08-22 DOI: arxiv-2408.13280
Lin Gao
A modified Transformer model is introduced for estimating the mass ofpseudoscalar glueball in lattice QCD. The model takes as input a sequence offloating-point numbers with lengths ranging from 30 to 35 and produces atwo-dimensional vector output. It integrates floating-point embeddings andpositional encoding, and is trained using binary cross-entropy loss. The paperprovides a detailed description of the model's components and training methods,and compares the performance of the traditional least squares method, thepreviously used deep neural network, and the modified Transformer in massestimation. The results show that the modified Transformer model achievesgreater accuracy in mass estimation than the traditional least squares method.Additionally, compared to the deep neural network, this model utilizespositional encoding and can handle input sequences of varying lengths, offeringenhanced adaptability.
本文介绍了一种改进的变换器模型,用于估计格子 QCD 中伪标星胶球的质量。该模型将长度为 30 至 35 的浮点数序列作为输入,并产生二维向量输出。它集成了浮点嵌入和位置编码,并使用二元交叉熵损失进行训练。论文详细描述了模型的组成和训练方法,并比较了传统最小二乘法、先前使用的深度神经网络和改进的 Transformer 在质量估计中的性能。结果表明,与传统的最小二乘法相比,改进的 Transformer 模型的质量估计精度更高。此外,与深度神经网络相比,该模型采用了位置编码,可以处理不同长度的输入序列,适应性更强。
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引用次数: 0
Structure-dependent electromagnetic finite-volume effects to the hadronic vacuum polarisation 结构相关电磁有限体积效应对强子真空极化的影响
Pub Date : 2024-08-15 DOI: arxiv-2408.08042
Nils Hermansson-Truedsson
In this talk we present some preliminary results and discuss the prospects ofdetermining the leading structure-dependent finite-volume effects in thehadronic vacuum polarisation associated to order $e^2$ electromagneticcorrections. In the quantum electrodynamics prescription$textrm{QED}_{textrm{L}}$ these arise at order $1/L^3$ in the large-volumeexpansion, which is also the leading order because of the neutrality of thecurrents defining the underlying correlation function. Knowing the size of thefinite-volume effects in question is relevant for determinations of the leadingisospin-breaking corrections to the muon anomalous magnetic moment coming fromthe hadronic vacuum polarisation.
在本讲座中,我们介绍了一些初步结果,并讨论了在与阶次$e^2$电磁校正相关的电子真空极化中确定与结构相关的有限体积效应的前景。在量子电动力学处方$textrm{QED}_{textrm{L}}$中,这些效应产生于大体积展开中的1/L^3$阶,由于定义底层相关函数的电流的中性,这也是前导阶。了解有关无限体积效应的大小,对于确定来自强子真空极化的μ介子反常磁矩的领先等边打破修正是有意义的。
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引用次数: 0
Discretization effects in finite-volume $2to2$ scattering 有限体积 $2to2$ 散射中的离散化效应
Pub Date : 2024-08-13 DOI: arxiv-2408.07062
Maxwell T. Hansen, Toby Peterken
We incorporate non-zero lattice-spacing effects into L"uscher'sfinite-volume scattering formalism. The new quantization condition takeslattice energies as input and returns a version of the discretized scatteringamplitude whose definition is transparent in the context of Symanzik EffectiveTheory. In contrast to the standard formalism, this approach uses single-hadrondiscretization effects to define modified versions of the finite-volume zetafunctions. The new formalism requires two sets of angular-momentum indices,which encode the ultraviolet mixing of angular momentum states (due to thelattice spacing), in addition to the well-known infrared mixing (due to thefinite volume).
我们将非零晶格间距效应纳入了L(uscher)的有限体积散射形式主义。新的量化条件将晶格能量作为输入,并返回离散化散射振幅的一个版本,其定义在西曼齐克有效理论中是透明的。与标准形式主义不同,这种方法使用单散点离散化效应来定义有限体积zet函数的修正版本。新形式主义需要两组角动量指数,除了众所周知的红外混合(由于有限体积)之外,还编码了角动量态的紫外混合(由于晶格间距)。
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引用次数: 0
Comments on "Non-local Nucleon Matrix Elements in the Rest Frame" 关于 "静止框架中的非局部核子矩阵元素 "的评论
Pub Date : 2024-08-07 DOI: arxiv-2408.04674
Xiang Gao, Jinchen He, Yushan Su, Rui Zhang, Yong Zhao
In a recent paper, "Non-local Nucleon Matrix Elements in the Rest Frame"(arXiv: 2407.16577), it was demonstrated that the next-to-leading orderperturbative theory can describe, to a few percent accuracy, the lattice QCDstatic nucleon matrix elements of spatial correlators with separations up to0.6~fm. We argue that perturbative QCD breaks down at such a distance scaleafter resumming the associated large logarithms, while the ansatz used in theanalysis there did not account for resummation or the leading renormalon, bothof which significantly affect the convergence of perturbation theory. Besides,we provide an explanation why the ansatz appears to describe the lattice datadespite the breakdown of perturbation theory at large distances.
在最近的一篇论文 "静止框架中的非局部核子矩阵元"(arXiv: 2407.16577)中,我们证明了次高阶扰动理论能够以百分之几的精度描述空间相关子的晶格QCD静态核子矩阵元,其距离可达0.6~fm。我们认为,在对相关大对数进行重和之后,扰动 QCD 会在这样的距离尺度上崩溃,而分析中使用的解析式没有考虑重和或前导正则子,而这两者都会显著影响扰动理论的收敛性。此外,我们还解释了为什么尽管在大距离上扰动理论会崩溃,但该解析似乎仍能描述晶格数据。
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引用次数: 0
Charmed meson masses and decay constants in the continuum from the tadpole improved clover ensembles 从蝌蚪改进三叶草集合看连续相中的魅力介子质量和衰变常数
Pub Date : 2024-08-07 DOI: arxiv-2408.03548
Hai-Yang Du, Bolun Hu, Ying Chen, Heng-Tong Ding, Chuan Liu, Liuming Liu, Yu Meng, Peng Sun, Ji-Hao Wang, Yi-Bo Yang, Dian-Jun Zhao
We present the determination of the charm quark mass, the masses and decayconstants of charmed mesons using thirteen 2+1 flavor full-QCD gauge ensemblesat five different lattice spacings $ain[0.05,0.11]$ fm, 8 pion masses$m_{pi}in(130,360)$ MeV, and several values of the strange quark mass, whichfacilitate us to do the chiral and continuum extrapolation. These ensembles aregenerated through the stout smeared clover fermion action and Symanzik gaugeactions with the tadpole improvement. Using QED-subtracted $D_s$ meson mass andnon-perturbative renormalization, we predict the charm quark mass in thecontinuum with physical light and strange quark masses to be{$m_c(m_c)=1.289(17)$} GeV in $overline{textrm{MS}}$ scheme, with thesystematic uncertainties from lattice spacing determination, renormalizationconstant, {and fit ansatz} included. Predictions of the open and close charmmesons using this charm quark mass agree with the experimental value at 0.3%level uncertainty. We obtained {$D_{(s)}$ decay constants and also by far themost precise $D_{(s)}^*$ decay constants $f_{D^*}=0.2321(43)$ GeV and$f_{D^*_s}=0.2743(34)$ GeV}, with the charm quark improved vector currentnormalization.
我们利用13个2+1味全QCD量规集合,在5个不同的晶格间隔$ain[0.05,0.11]$ fm,8个先驱质量$m_{pi}in(130,360)$ MeV,以及奇异夸克质量的几个值,测定了粲夸克的质量、粲介子的质量和衰变常数,这有助于我们进行手性和连续体外推。这些集合是通过蝌蚪改进的粗大抹黑三叶草费米子作用和塞曼齐克规量作用生成的。利用QED减去的$D_s$介子质量和非微扰重正化,我们预测连续相中的粲夸克质量与物理轻夸克和奇异夸克质量为{$m_c(m_c)=1.289(17)$}。在$overline{textrm{MS}}$方案中,我们预测粲夸克质量为{$m_c(m_c=1.289(17)$},其中包含了晶格间距确定、重正化常数{和拟合等式}带来的系统不确定性。利用这种粲夸克质量对开场和闭场粲子的预测与实验值一致,不确定性为0.3%。我们得到了{$D_{(s)}$衰变常数,以及迄今为止最精确的$D_{(s)}^*$衰变常数$f_{D^*}=0.2321(43)$ GeV和$f_{D^*_s}=0.2743(34)$ GeV},并对粲夸克进行了改进的矢量电流归一化。
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引用次数: 0
期刊
arXiv - PHYS - High Energy Physics - Lattice
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