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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
arXiv - PHYS - High Energy Physics - Lattice Pub Date : 2024-09-01 DOI: arxiv-2409.00691
I. E. Kudrov, V. G. Bornyakov
{"title":"Gribov copy effects in the maximal Abelian gauge","authors":"I. E. Kudrov, V. G. Bornyakov","doi":"arxiv-2409.00691","DOIUrl":"https://doi.org/arxiv-2409.00691","url":null,"abstract":"We study effects of Gribov copies in the Maximal Abelian gauge in $SU(3)$\u0000lattice gluodynamics. We confirm earlier results that with effective gauge\u0000fixing algorithm one finds Gribov copies of the maximal Abelian gauge which\u0000produce about 90% of the nonabelian string tension after Abelian projection.\u0000At the same time using much less effective relaxation algorithm one finds\u0000Gribov copies with nice Abelian dominance for the string tension.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"44 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142197886","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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
arXiv - PHYS - High Energy Physics - Lattice Pub Date : 2024-09-01 DOI: arxiv-2409.00776
Nikolai Husung
{"title":"Lattice artifacts of local fermion bilinears up to $mathrm{O}(a^2)$","authors":"Nikolai Husung","doi":"arxiv-2409.00776","DOIUrl":"https://doi.org/arxiv-2409.00776","url":null,"abstract":"Recently the asymptotic lattice spacing dependence of spectral quantities in\u0000lattice QCD has been computed to $mathrm{O}(a^2)$ using Symanzik Effective\u0000theory [1,2]. Here, we extend these results to matrix elements and correlators\u0000of local fermion bilinears, namely the scalar, pseudo-scalar, vector,\u0000axial-vector, and tensor. This resembles the typical current insertions for the\u0000effective Hamiltonian of electro-weak or BSM contributions, but is only a small\u0000fraction of the local fields typically considered. We again restrict\u0000considerations to lattice QCD actions with Wilson or Ginsparg-Wilson quarks and\u0000thus lattice formulations of QCD without flavour-changing interactions\u0000realising at least\u0000$mathrm{SU}(N_mathrm{f})_mathrm{V}timesmathrm{SU}(N_mathrm{b}|N_mathrm{b})_mathrm{V}$\u0000flavour symmetries for $N_mathrm{f}$ sea-quarks and $N_mathrm{b}$ quenched\u0000valence-quarks respectively in the massless limit. Overall we find only few\u0000cases $hat{Gamma}$, which worsen the asymptotic lattice spacing dependence\u0000$a^n[2b_0bar{g}^2(1/a)]^{hat{Gamma}}$ compared to the classically expected\u0000$a^n$-scaling. Other than for trivial flavour quantum numbers, only the\u0000axial-vector and much milder the tensor may cause some problems at\u0000$mathrm{O}(a)$, strongly suggesting to use at least tree-level Symanzik\u0000improvement of those local fields.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"100 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142197884","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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
arXiv - PHYS - High Energy Physics - Lattice Pub Date : 2024-08-31 DOI: arxiv-2409.00502
Evan Berkowitz, Seth Buesing, Shi Chen, Aleksey Cherman, Srimoyee Sen
{"title":"Generalized BKT Transitions and Persistent Order on the Lattice","authors":"Evan Berkowitz, Seth Buesing, Shi Chen, Aleksey Cherman, Srimoyee Sen","doi":"arxiv-2409.00502","DOIUrl":"https://doi.org/arxiv-2409.00502","url":null,"abstract":"The BKT transition in low-dimensional systems with a $U(1)$ global symmetry\u0000separates a gapless conformal phase from a trivially gapped, disordered phase,\u0000and is driven by vortex proliferation. Recent developments in modified Villain\u0000discretizations provide a class of lattice models which have a $mathbb{Z}_W$\u0000global symmetry that counts vortices mod W, mixed 't Hooft anomalies, and\u0000persistent order even at finite lattice spacing. While there is no\u0000fully-disordered phase (except in the original BKT limit $W=1$) there is still\u0000a phase boundary which separates gapped ordered phases from gapless phases.\u0000I'll describe a numerical Monte Carlo exploration of these phenomena.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"72 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142197903","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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
arXiv - PHYS - High Energy Physics - Lattice Pub Date : 2024-08-29 DOI: arxiv-2408.16590
Qi-Chao Xiao, Jin-Yi Pang, Jia-Jun Wu
{"title":"Lattice spectra of $DDK$ three-body system with Lorentz covariant kinematic","authors":"Qi-Chao Xiao, Jin-Yi Pang, Jia-Jun Wu","doi":"arxiv-2408.16590","DOIUrl":"https://doi.org/arxiv-2408.16590","url":null,"abstract":"The $DDK$ system has gain increasing attention in recent research due to its\u0000potential to contain a three-hadron bound state. This article utilizes an\u0000extension of the Non-Relativistic Effective Field Theory (NREFT) and the finite\u0000volume particle-dimer framework to derive Lorentz-invariant quantization\u0000conditions for the $DDK$ three-body system. Using current model input\u0000conditions, the finite volume energy spectrum of the $DDK$ three-body system\u0000was calculated. This new calculation incorporates relativistic kinematics,\u0000allowing it to be applicable across a broader energy range starting from the\u0000threshold. In this work, we present a comprehensive ( O(p^{2}) ) calculation.\u0000The spurious pole is effectively subtracted within the framework of\u0000relativistic kinematics. The spectra in the moving frame are also obtained.\u0000These analyses provide a broader testing ground for future lattice simulations.\u0000They are expected to reveal more detailed properties of the $DDK$ system and\u0000other three-hadron systems.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"20 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142197889","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Exploring the $ Ω^- $ spectrum in lattice QCD 探索格子 QCD 中的Ω^- $ 谱
arXiv - PHYS - High Energy Physics - Lattice Pub Date : 2024-08-29 DOI: arxiv-2408.16281
Liam Hockley, Waseem Kamleh, Derek Leinweber, Anthony Thomas
{"title":"Exploring the $ Ω^- $ spectrum in lattice QCD","authors":"Liam Hockley, Waseem Kamleh, Derek Leinweber, Anthony Thomas","doi":"arxiv-2408.16281","DOIUrl":"https://doi.org/arxiv-2408.16281","url":null,"abstract":"We present an exploratory lattice QCD analysis of the $ Omega $-baryon\u0000spectrum. Using smeared three-quark operators in a correlation matrix analysis,\u0000we report masses for the ground, first and second excited states of the $ J^P =\u00001/2^pm,, 3/2^pm $ spectra across a broad range in the light quark mass. We\u0000investigate the parity and spin quantum numbers for the states observed on the\u0000lattice, looking to reconcile these with the resonances encountered in\u0000experiment. We find that the $ Omega^-(2012) $ as reported by the Particle\u0000Data Group corresponds to two overlapping resonances with $ J^P = 1/2^- $ and $\u00003/2^- $. We also propose quantum number assignments for the higher energy\u0000resonances, and identify successive radial excitations within the spectra.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"60 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142225334","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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
arXiv - PHYS - High Energy Physics - Lattice Pub Date : 2024-08-22 DOI: arxiv-2408.13280
Lin Gao
{"title":"Estimation of the pseudoscalar glueball mass based on a modified Transformer","authors":"Lin Gao","doi":"arxiv-2408.13280","DOIUrl":"https://doi.org/arxiv-2408.13280","url":null,"abstract":"A modified Transformer model is introduced for estimating the mass of\u0000pseudoscalar glueball in lattice QCD. The model takes as input a sequence of\u0000floating-point numbers with lengths ranging from 30 to 35 and produces a\u0000two-dimensional vector output. It integrates floating-point embeddings and\u0000positional encoding, and is trained using binary cross-entropy loss. The paper\u0000provides a detailed description of the model's components and training methods,\u0000and compares the performance of the traditional least squares method, the\u0000previously used deep neural network, and the modified Transformer in mass\u0000estimation. The results show that the modified Transformer model achieves\u0000greater accuracy in mass estimation than the traditional least squares method.\u0000Additionally, compared to the deep neural network, this model utilizes\u0000positional encoding and can handle input sequences of varying lengths, offering\u0000enhanced adaptability.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"30 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142197890","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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
arXiv - PHYS - High Energy Physics - Lattice Pub Date : 2024-08-15 DOI: arxiv-2408.08042
Nils Hermansson-Truedsson
{"title":"Structure-dependent electromagnetic finite-volume effects to the hadronic vacuum polarisation","authors":"Nils Hermansson-Truedsson","doi":"arxiv-2408.08042","DOIUrl":"https://doi.org/arxiv-2408.08042","url":null,"abstract":"In this talk we present some preliminary results and discuss the prospects of\u0000determining the leading structure-dependent finite-volume effects in the\u0000hadronic vacuum polarisation associated to order $e^2$ electromagnetic\u0000corrections. In the quantum electrodynamics prescription\u0000$textrm{QED}_{textrm{L}}$ these arise at order $1/L^3$ in the large-volume\u0000expansion, which is also the leading order because of the neutrality of the\u0000currents defining the underlying correlation function. Knowing the size of the\u0000finite-volume effects in question is relevant for determinations of the leading\u0000isospin-breaking corrections to the muon anomalous magnetic moment coming from\u0000the hadronic vacuum polarisation.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"14 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142197891","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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
arXiv - PHYS - High Energy Physics - Lattice Pub Date : 2024-08-13 DOI: arxiv-2408.07062
Maxwell T. Hansen, Toby Peterken
{"title":"Discretization effects in finite-volume $2to2$ scattering","authors":"Maxwell T. Hansen, Toby Peterken","doi":"arxiv-2408.07062","DOIUrl":"https://doi.org/arxiv-2408.07062","url":null,"abstract":"We incorporate non-zero lattice-spacing effects into L\"uscher's\u0000finite-volume scattering formalism. The new quantization condition takes\u0000lattice energies as input and returns a version of the discretized scattering\u0000amplitude whose definition is transparent in the context of Symanzik Effective\u0000Theory. In contrast to the standard formalism, this approach uses single-hadron\u0000discretization effects to define modified versions of the finite-volume zeta\u0000functions. The new formalism requires two sets of angular-momentum indices,\u0000which encode the ultraviolet mixing of angular momentum states (due to the\u0000lattice spacing), in addition to the well-known infrared mixing (due to the\u0000finite volume).","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"27 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142197892","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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
arXiv - PHYS - High Energy Physics - Lattice Pub Date : 2024-08-07 DOI: arxiv-2408.04674
Xiang Gao, Jinchen He, Yushan Su, Rui Zhang, Yong Zhao
{"title":"Comments on \"Non-local Nucleon Matrix Elements in the Rest Frame\"","authors":"Xiang Gao, Jinchen He, Yushan Su, Rui Zhang, Yong Zhao","doi":"arxiv-2408.04674","DOIUrl":"https://doi.org/arxiv-2408.04674","url":null,"abstract":"In a recent paper, \"Non-local Nucleon Matrix Elements in the Rest Frame\"\u0000(arXiv: 2407.16577), it was demonstrated that the next-to-leading order\u0000perturbative theory can describe, to a few percent accuracy, the lattice QCD\u0000static nucleon matrix elements of spatial correlators with separations up to\u00000.6~fm. We argue that perturbative QCD breaks down at such a distance scale\u0000after resumming the associated large logarithms, while the ansatz used in the\u0000analysis there did not account for resummation or the leading renormalon, both\u0000of which significantly affect the convergence of perturbation theory. Besides,\u0000we provide an explanation why the ansatz appears to describe the lattice data\u0000despite the breakdown of perturbation theory at large distances.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"28 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141948981","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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
arXiv - PHYS - High Energy Physics - Lattice 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
{"title":"Charmed meson masses and decay constants in the continuum from the tadpole improved clover ensembles","authors":"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","doi":"arxiv-2408.03548","DOIUrl":"https://doi.org/arxiv-2408.03548","url":null,"abstract":"We present the determination of the charm quark mass, the masses and decay\u0000constants of charmed mesons using thirteen 2+1 flavor full-QCD gauge ensembles\u0000at five different lattice spacings $ain[0.05,0.11]$ fm, 8 pion masses\u0000$m_{pi}in(130,360)$ MeV, and several values of the strange quark mass, which\u0000facilitate us to do the chiral and continuum extrapolation. These ensembles are\u0000generated through the stout smeared clover fermion action and Symanzik gauge\u0000actions with the tadpole improvement. Using QED-subtracted $D_s$ meson mass and\u0000non-perturbative renormalization, we predict the charm quark mass in the\u0000continuum with physical light and strange quark masses to be\u0000{$m_c(m_c)=1.289(17)$} GeV in $overline{textrm{MS}}$ scheme, with the\u0000systematic uncertainties from lattice spacing determination, renormalization\u0000constant, {and fit ansatz} included. Predictions of the open and close charm\u0000mesons using this charm quark mass agree with the experimental value at 0.3%\u0000level uncertainty. We obtained {$D_{(s)}$ decay constants and also by far the\u0000most precise $D_{(s)}^*$ decay constants $f_{D^*}=0.2321(43)$ GeV and\u0000$f_{D^*_s}=0.2743(34)$ GeV}, with the charm quark improved vector current\u0000normalization.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"73 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141948979","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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