arXiv - PHYS - High Energy Physics - Lattice最新文献_第3页

Model Independent Tests of the Hadronic Vacuum Polarization Contribution to the Muon $g$$-$$2$ 强子真空极化对μ介子$g$$$-$$2$贡献的模型独立测试

arXiv - PHYS - High Energy Physics - Lattice Pub Date : 2024-08-02 DOI: arxiv-2408.01123

Luca Di Luzio, Alexander Keshavarzi, Antonio Masiero, Paride Paradisi

{"title":"Model Independent Tests of the Hadronic Vacuum Polarization Contribution to the Muon $g$$-$$2$","authors":"Luca Di Luzio, Alexander Keshavarzi, Antonio Masiero, Paride Paradisi","doi":"arxiv-2408.01123","DOIUrl":"https://doi.org/arxiv-2408.01123","url":null,"abstract":"The hadronic vacuum polarization (HVP) contributions to the muon $g$$-$$2$\u0000are the crucial quantity to resolve whether new physics is present or not in\u0000the comparison between the Standard Model (SM) prediction and experimental\u0000measurements at Fermilab. They are commonly and historically determined via\u0000dispersion relations using a vast catalogue of experimentally measured,\u0000low-energy $e^+e^-to ,rm{hadrons}$ cross section data as input. These\u0000dispersive estimates result in a SM prediction that exhibits a muon $g$$-$$2$\u0000discrepancy of more than $5sigma$ when compared to experiment. However, recent\u0000lattice QCD evaluations of the HVP and a new hadronic cross section measurement\u0000from the CMD-3 experiment favor a no-new-physics scenario and, therefore,\u0000exhibit a common tension with the previous $e^+e^-to ,rm{hadrons}$ data.\u0000This study explores the current and future implications of these two scenarios\u0000on other observables that are also sensitive to the HVP contributions in the\u0000hope that they may provide independent tests of the current tensions observed\u0000in the muon $g$$-$$2$.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141948980","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

SU(2) gauge theory with one and two adjoint fermions towards the continuum limit 具有一个和两个临界费米子的 SU(2) 轨则理论走向连续极限

arXiv - PHYS - High Energy Physics - Lattice Pub Date : 2024-07-31 DOI: arxiv-2408.00171

Andreas Athenodorou, Ed Bennett, Georg Bergner, Pietro Butti, Julian Lenz, Biagio Lucini

{"title":"SU(2) gauge theory with one and two adjoint fermions towards the continuum limit","authors":"Andreas Athenodorou, Ed Bennett, Georg Bergner, Pietro Butti, Julian Lenz, Biagio Lucini","doi":"arxiv-2408.00171","DOIUrl":"https://doi.org/arxiv-2408.00171","url":null,"abstract":"We provide an extended lattice study of the SU(2) gauge theory coupled to one\u0000Dirac fermion flavour ($N_{mathrm{f}} =1$) transforming in the adjoint\u0000representation as the continuum limit is approached. This investigation is\u0000supplemented by numerical results obtained for the SU(2) gauge theory with two\u0000Dirac fermion flavours ($N_{mathrm{f}} =2$) transforming in the adjoint\u0000representation, for which we perform numerical investigations at a single\u0000lattice spacing value, which is analysed together with earlier calculations.\u0000The purpose of our study is to advance the characterisation of the infrared\u0000properties of both theories, which previous investigations have concluded to be\u0000in the conformal window. For both, we determine the mass spectrum and the\u0000anomalous dimension of the fermion condensate using finite-size hyperscaling of\u0000the spectrum, mode number analysis of the Dirac operator (for which we improve\u0000on our previous proposal) and the ratio of masses of the lightest spin-2\u0000particle over the lightest scalar. All methods provide a consistent picture,\u0000with the anomalous dimension of the condensate $gamma_*$ decreasing\u0000significantly as one approaches the continuum limit for the $N_{mathrm{f}} =\u00001$ theory towards a value consistent with $gamma_* = 0.174(6)$, while for\u0000$N_{mathrm{f}} = 2$ the anomalous dimension decreases more slowly with\u0000$beta$. A chiral perturbation theory analysis show that the infrared behaviour\u0000of both theories is incompatible with the breaking of chiral symmetry.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"46 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141883758","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

Lanczos for lattice QCD matrix elements 网格 QCD 矩阵元素的 Lanczos

arXiv - PHYS - High Energy Physics - Lattice Pub Date : 2024-07-31 DOI: arxiv-2407.21777

Daniel C. Hackett, Michael L. Wagman

引用次数: 0

Confronting perturbative QCD with the hardest exclusive reactions: kaon electromagnetic form factors 用最难的排他性反应对抗微扰 QCD：Kaon 电磁形式因子

arXiv - PHYS - High Energy Physics - Lattice Pub Date : 2024-07-30 DOI: arxiv-2407.21120

Long-Bin Chen, Wen Chen, Feng Feng, Yu Jia

引用次数: 0

Loop-string-hadron approach to SU(3) lattice Yang-Mills theory: Gauge invariant Hilbert space of a trivalent vertex SU(3)晶格杨-米尔斯理论的环弦-哈德罗方法：三价顶点的量子不变希尔伯特空间

arXiv - PHYS - High Energy Physics - Lattice Pub Date : 2024-07-27 DOI: arxiv-2407.19181

Saurabh V. Kadam, Aahiri Naskar, Indrakshi Raychowdhury, Jesse R. Stryker

{"title":"Loop-string-hadron approach to SU(3) lattice Yang-Mills theory: Gauge invariant Hilbert space of a trivalent vertex","authors":"Saurabh V. Kadam, Aahiri Naskar, Indrakshi Raychowdhury, Jesse R. Stryker","doi":"arxiv-2407.19181","DOIUrl":"https://doi.org/arxiv-2407.19181","url":null,"abstract":"The construction of gauge invariant states of SU(3) lattice gauge theories\u0000has garnered new interest in recent years, but implementing them is complicated\u0000by the need for SU(3) Clebsch-Gordon coefficients. In the loop-string-hadron\u0000(LSH) approach to lattice gauge theories, the elementary excitations are\u0000strictly gauge invariant, and constructing the basis requires no knowledge of\u0000Clebsch-Gordon coefficients. Originally developed for SU(2), the LSH\u0000formulation was recently generalized to SU(3), but limited to one spatial\u0000dimension. In this work, we generalize the LSH approach to constructing the\u0000basis of SU(3) gauge invariant states at a trivalent vertex - the essential\u0000building block to multidimensional space. A direct generalization from the\u0000SU(2) vertex yields a legitimate basis; however, in certain sectors of the\u0000Hilbert space, the naive LSH basis vectors so defined suffer from being\u0000nonorthogonal. The issues with orthogonality are directly related to the\u0000`missing label' or `outer multiplicity' problem associated with SU(3) tensor\u0000products, and may also be phrased in terms of Littlewood-Richardson\u0000coefficients or the need for a `seventh Casimir' operator. The states that are\u0000unaffected by the problem are orthonormalized in closed form. For the sectors\u0000that are afflicted, we discuss the nonorthogonal bases and their\u0000orthogonalization. A few candidates for seventh Casimir operators are readily\u0000constructed from the suite of LSH gauge-singlet operators. The diagonalization\u0000of a seventh Casimir represents one prescriptive solution towards obtaining a\u0000complete orthonormal basis, but a closed-form general solution remains to be\u0000found.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"47 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141872413","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

Finite-volume formalism for physical processes with an electroweak loop integral 电弱环积分物理过程的有限体积形式主义

arXiv - PHYS - High Energy Physics - Lattice Pub Date : 2024-07-24 DOI: arxiv-2407.16930

Xin-Yu Tuo, Xu Feng

引用次数: 0

A better space of generalized connections 更好的广义连接空间

arXiv - PHYS - High Energy Physics - Lattice Pub Date : 2024-07-24 DOI: arxiv-2407.17400

Juan Orendain, Jose A. Zapata

{"title":"A better space of generalized connections","authors":"Juan Orendain, Jose A. Zapata","doi":"arxiv-2407.17400","DOIUrl":"https://doi.org/arxiv-2407.17400","url":null,"abstract":"Given a base manifold $M$ and a Lie group $G$, we define $widetilde{cal\u0000A}_M$ a space of generalized $G$-connections on $M$ with the following\u0000properties: - The space of smooth connections ${cal A}^infty_M = sqcup_pi {cal\u0000A}^infty_pi$ is densely embedded in $widetilde{cal A}_M = sqcup_pi\u0000widetilde{cal A}^infty_pi$; moreover, in contrast with the usual space of\u0000generalized connections, the embedding preserves topological sectors. - It is a homogeneous covering space for the standard space of generalized\u0000connections of loop quantization $bar{cal A}_M$. - It is a measurable space constructed as an inverse limit of of spaces of\u0000connections with a cutoff, much like $bar{cal A}_M$. At each level of the\u0000cutoff, a Haar measure, a BF measure and heat kernel measures can be defined. - The topological charge of generalized connections on closed manifolds $Q=\u0000int Tr(F)$ in 2d, $Q= int Tr(F wedge F)$ in 4d, etc, is defined. - On a subdivided manifold, it can be calculated in terms of the spaces of\u0000generalized connections associated to its pieces. Thus, spaces of boundary\u0000connections can be computed from spaces associated to faces. - The soul of our generalized connections is a notion of higher homotopy\u0000parallel transport defined for smooth connections. We recover standard\u0000generalized connections by forgetting its higher levels. - Higher levels of our higher gauge fields are often trivial. Then\u0000$widetilde{cal A}_Sigma = bar{cal A}_Sigma$ for $dim Sigma = 3$ and\u0000$G=SU(2)$, but $widetilde{cal A}_M neq bar{cal A}_M$ for $dim M = 4$ and\u0000$G=SL(2, {mathbb C})$ or $G=SU(2)$. Boundary data for loop quantum gravity is\u0000consistent with our space of generalized connections, but a path integral for\u0000quantum gravity with Lorentzian or euclidean signatures would be sensitive to\u0000homotopy data.","PeriodicalId":501191,"journal":{"name":"arXiv - PHYS - High Energy Physics - Lattice","volume":"39 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141779101","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

Stochastic weight matrix dynamics during learning and Dyson Brownian motion 学习过程中的随机权重矩阵动态和戴森布朗运动

arXiv - PHYS - High Energy Physics - Lattice Pub Date : 2024-07-23 DOI: arxiv-2407.16427

Gert Aarts, Biagio Lucini, Chanju Park

引用次数: 0

Non-local Nucleon Matrix Elements in the Rest Frame 静止框架中的非局部核子矩阵元素

arXiv - PHYS - High Energy Physics - Lattice Pub Date : 2024-07-23 DOI: arxiv-2407.16577

Joe Karpie, Christopher Monahan, Anatoly Radyushkin

引用次数: 0

Simulation of ultracold Bose gases with the complex Langevin method 用复朗格文方法模拟超冷玻色气体

arXiv - PHYS - High Energy Physics - Lattice Pub Date : 2024-07-23 DOI: arxiv-2407.16730

Philipp Heinen

引用次数: 0