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We compare the isospin-one, vector-current hadronic vacuum polarization (HVP) obtained from isospin-symmetric lattice QCD with that obtained from a dispersive representation employing inclusive hadronic $\tau$ decay data corrected for…

高能物理 - 唯象学 · 物理学 2026-05-13 Noah Allen , Diogo Boito , Maarten Golterman , Kim Maltman , Lucas M. Mansur , Santiago Peris

Large-time correlation functions have a pivotal role in extracting particle masses from Euclidean lattice field theory calculations, however little is known about the statistical properties of these quantities. In this work, the asymptotic…

高能物理 - 格点 · 物理学 2023-06-01 Cagin Yunus , William Detmold

Estimates of higher-order contributions for perturbative series in QCD, in view of their asymptotic nature, are delicate, though indispensable for a reliable error assessment in phenomenological applications. In this work, the Adler…

高能物理 - 唯象学 · 物理学 2021-09-15 Matthias Jamin

In this paper, we study desingularization of vortices for the two-dimensional incompressible Euler equations in the full plane. We construct a family of steady vortex pairs for the Euler equations with a general vorticity function, which…

偏微分方程分析 · 数学 2020-12-22 Daomin Cao , Shanfa Lai , Weicheng Zhan

I review the status of lattice QCD calculations of the hadronic contributions to the muon's anomalous magnetic moment, focussing on the hadronic vacuum polarisation contribution which dominates the uncertainty of the Standard Model…

高能物理 - 唯象学 · 物理学 2023-06-21 Hartmut Wittig

We work out the holographic dictionary for the three-dimensional Schr\"odinger spacetimes. The first step in our analysis involves the correct identification of the dual sources from the radial expansion of the bulk fields, which turns out…

高能物理 - 理论 · 物理学 2012-06-29 Balt C. van Rees

We analyze the electromagnetic current correlator at an arbitrary photon invariant mass $q^2$ by exploiting its associated dispersion relation. The dispersion relation is turned into an inverse problem, via which the involved vacuum…

高能物理 - 唯象学 · 物理学 2020-11-18 Hsiang-nan Li , Hiroyuki Umeeda

We study the mapping between time-dependent densities and potentials for noninteracting electronic systems on lattices. As discovered recently by Baer [J. Chem. Phys. 128, 044103 (2008)], there exist well-behaved time-dependent density…

介观与纳米尺度物理 · 物理学 2009-11-13 Yonghui Li , C. A. Ullrich

We extend our analysis of the leading hadronic contribution to the anomalous magnetic moment of the muon using the mixed representation method to study its chiral behavior. We present results derived from local-conserved two-point lattice…

The leading-order hadronic contribution to the muon anomalous magentic moment, $a_\mu^{\rm LO,HVP}$, can be expressed as an integral over Euclidean $Q^2$ of the vacuum polarization function. We point out that a simple trapezoid-rule…

高能物理 - 格点 · 物理学 2014-10-31 Maarten Golterman , Kim Maltman , Santiago Peris

Following the publication of the new measurement of the anomalous magnetic moment of the muon, the discrepancy between experiment and the theory prediction from the $g-2$ theory initiative has increased to $4.2\,\sigma$. Recent lattice QCD…

We consider a lattice model in which a tracer particle moves in the presence of randomly distributed immobile obstacles. The crowding effect due to the obstacles interplays with the quasi-confinement imposed by wrapping the lattice onto a…

统计力学 · 物理学 2026-03-05 A. Squarcini , A. Tinti , P. Illien , O. Bénichou , T. Franosch

We compute for the first time the $\tau$ data-driven Euclidean windows for the hadronic vacuum polarization contribution to the muon $g-2$. We show that $\tau$-based results agree with the available lattice window evaluations and with the…

高能物理 - 唯象学 · 物理学 2024-02-07 Pere Masjuan , Alejandro Miranda , Pablo Roig

The leading-order hadronic contribution to the muon anomalous magnetic moment is given by a weighted integral over the subtracted hadronic vacuum polarization. This integral is dominated by euclidean momenta of order the muon mass, i.e.,…

高能物理 - 格点 · 物理学 2013-10-30 Christopher Aubin , Thomas Blum , Maarten Golterman , Santiago Peris

Spatial field correlation functions represent a key quantity for the description of mesoscopic phenomena in disordered media and the optical characterization of complex materials. Yet many aspects related to the vector nature of light waves…

光学 · 物理学 2014-02-03 Kevin Vynck , Romain Pierrat , Rémi Carminati

We present results for lattice QCD in the limit of infinite gauge coupling on a discrete spatial but continuous Euclidean time lattice. A worm type Monte Carlo algorithm is applied in order to sample two-point functions which gives access…

高能物理 - 格点 · 物理学 2018-11-06 Marc Klegrewe , Wolfgang Unger

We introduce one matrix model coupled to multi-flavor vectors. The two-flavor vector model is demonstrated to reproduce the two-point correlation numbers of boundary primary fields of two dimensional (2, 2p+1) minimal Liouville gravity on…

高能物理 - 理论 · 物理学 2010-12-07 Goro Ishiki , Chaiho Rim

We calculate correlation functions of two local operators within the nucleon carrying momentum. We resolve their dependence on the spatial distance of the currents. This is carried out for all Wick contractions, taking into account several…

高能物理 - 格点 · 物理学 2019-11-13 Christian Zimmermann

We present the first four-flavour lattice calculation of the leading-order hadronic vacuum-polarisation contribution to the anomalous magnetic moment of the muon, a_{\mu}^{hvp}, and the hadronic running of the QED coupling constant, \Delta…

高能物理 - 格点 · 物理学 2012-12-24 Xu Feng , Grit Hotzel , Karl Jansen , Marcus Petschlies , Dru B. Renner

The string-inspired technique is used for a first calculation of the one-loop axialvector vacuum polarisation in a general constant electromagnetic field. A compact result is reached for the difference between this tensor and the…

高能物理 - 唯象学 · 物理学 2009-11-07 Holger Gies , Christian Schubert
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