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Recent progress of lattice investigations in thermal physics is summarized in this contribution. Hadronic spectral functions can be reconstructed from correlation functions in Euclidean time based on the Maximum Entropy Method without a…

高能物理 - 格点 · 物理学 2007-05-23 Ines Wetzorke

The Wigner function of a dynamical infinite dimensional lattice is studied. A closed differential equation without diffusion terms for this function is obtained and solved. We map atom-photon interaction systems, such as the Jaynes-Cummings…

量子物理 · 物理学 2018-08-03 A. Rosado , E. Sadurní , J. M. Torres

We present a new lattice QCD calculation of the leading order hadronic vacuum polarization (LO-HVP) contribution to the muon anomalous magnetic moment $a_\mu$. We reduce uncertainties compared to our earlier computation arXiv:2002.12347 by…

We measure the hadronic contribution to the vacuum polarisation tensor, and use it to estimate the hadronic contribution to (g-2)_mu, the muon anomalous magnetic moment.

高能物理 - 格点 · 物理学 2008-11-26 M. Göckeler , R. Horsley , W. Kürzinger , D. Pleiter , P. E. L. Rakow , G. Schierholz

Vertical-arrow fluctuations near the boundaries in the six-vertex model on the two-dimensional $N \times N$ square lattice with the domain wall boundary conditions are considered. The one-point correlation function (`boundary polarization')…

统计力学 · 物理学 2009-11-07 N. M. Bogoliubov , A. V. Kitaev , M. B. Zvonarev

We implement a proposal made in [arXiv:1107.4388] to determine the lattice spacing by matching the lattice vector correlator at a reference distance scale with the same correlator obtained by a dispersion relation based on the $R$-ratio…

高能物理 - 格点 · 物理学 2013-12-03 Anthony Francis , Georg von Hippel , Fred Jegerlehner , Harvey B. Meyer

We review some of the issues that arise in attempts to compute the hadronic corrections to the muon anomalous magnetic moment using Lattice QCD. We concentrate on the dominant contribution, which requires an accurate evaluation of the…

高能物理 - 格点 · 物理学 2015-06-18 Christopher Aubin , Thomas Blum , Maarten Golterman , Kim Maltman , Santiago Peris

We calculate correlations between hadronic current operators as a function of their spatial separation, in a quenched lattice QCD simulation at $\beta=6.2$ on a $24^3\times48$ lattice. The lattice fermion formulation used is that due to…

高能物理 - 格点 · 物理学 2007-05-23 UKQCD Collaboration , S. J. Hands , P. W. Stephenson , A. McKerrell

We compute the slope and curvature, at vanishing four-momentum transfer squared, of the leading order hadron vacuum polarization function, using lattice QCD. Calculations are performed with 2+1+1 flavors of staggered fermions directly at…

高能物理 - 格点 · 物理学 2017-11-01 Sz. Borsanyi , Z. Fodor , T. Kawanai , S. Krieg , L. Lellouch , R. Malak , K. Miura , K. K. Szabo , C. Torrero , B. Toth

We address the problem of calculating the correlation functions in a system of one-dimensional hard-core anyons that can be experimentally realized in optical lattices. Using the summation of form factors we have obtained Fredholm…

量子气体 · 物理学 2015-06-22 Ovidiu I. Patu

Results are presented from an ongoing study of the $\rho$ resonance. We use the distillation approach in order to create correlator matrices involving $\rho$ and $\pi\pi$ interpolators. The study is done in a centre-of-mass frame and…

高能物理 - 格点 · 物理学 2017-10-31 Felix Erben , Jeremy Green , Daniel Mohler , Hartmut Wittig

We show the details of the calculation of the hadronic thermal corrections to the two-point functions in the effective field theory of QCD for pions and vector mesons based on the hidden local symmetry (HLS) in hot matter using the…

高能物理 - 唯象学 · 物理学 2009-11-10 Masayasu Harada , Chihiro Sasaki

An accurate calculation of the leading-order hadronic vacuum polarisation (LOHVP) contribution to the anomalous magnetic moment of the muon ($a_\mu$) is key to determining whether a discrepancy, suggesting new physics, exists between the…

高能物理 - 格点 · 物理学 2025-02-04 C. T. H. Davies , A. S. Kronfeld , G. P. Lepage , C. McNeile , R. S. Van de Water

Hadronic spectral densities are important quantities whose non-perturbative knowledge allows for calculating phenomenologically relevant observables, such as inclusive hadronic cross-sections and non-leptonic decay-rates. The extraction of…

高能物理 - 格点 · 物理学 2019-06-05 Martin Hansen , Alessandro Lupo , Nazario Tantalo

The experimental uncertainty on the anomalous magnetic moment of the muon has been significantly reduced with the recent results of the Fermilab $g-2$ experiment, and a further reduction is expected in the near future. The precision of the…

高能物理 - 格点 · 物理学 2024-01-30 Simon Kuberski

We suggest to carry out lattice calculations of current correlators in position space, sandwiched between the vacuum and a hadron state (e.g. pion), in order to access hadronic light-cone distribution amplitudes (DAs). In this way the…

高能物理 - 唯象学 · 物理学 2008-11-26 V. Braun , D. Müller

We describe and demonstrate how 3D magnetic field alignment can be inferred from single absorption images of an atomic cloud. While optically pumped magnetometers conventionally rely on temporal measurement of the Larmor precession of…

We compute the vacuum polarization on the lattice using non-perturbatively O(a) improved Wilson fermions. The result is compared with the operator product expansion (OPE).

高能物理 - 格点 · 物理学 2008-11-26 M. Gockeler , R. Horsley , W. Kurzinger , V. Linke , D. Pleiter , P. E. L. Rakow , G. Schierholz

The complete knowledge of a theory is encoded in its correlation functions. Thus non-perturbative effects, like confinement in QCD, is necessarily contained in these correlation functions. As a consequence, a number of confinement scenarios…

高能物理 - 格点 · 物理学 2013-10-31 Tajdar Mufti , Axel Maas

Hadronic vacuum polarization is a key observable in low-energy QCD, and is famously the greatest contributor to the theoretical uncertainty in the muon magnetic moment. Its long-distance part in particular is a weak point of the current…

高能物理 - 格点 · 物理学 2026-03-02 Mattias Sjö , Laurent Lellouch , Alessandro Lupo , Kálmán Szabo , Pierre Vanhove