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Related papers: Stochastic computation of $g-2$ in QED

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Excited state contamination remains one of the most challenging sources of systematic uncertainty to control in lattice QCD calculations of nucleon matrix elements and form factors: early time separations are contaminated by excited states…

We describe a new technique (presented in arXiv:1403.1778) to determine the contribution to the anomalous magnetic moment (g-2) of the muon coming from the hadronic vacuum polarisation using lattice QCD. Our method uses Pad\'{e}…

Quantum electrodynamics in 1 + 1D (QED2) shares intriguing properties with QCD, including confinement, string breaking, and interesting phase diagram when the non-trivial topological $\theta$-term is considered. Its lattice regularization…

High Energy Physics - Lattice · Physics 2024-11-05 Matteo D'Anna , Marina Krstic Marinkovic , Joao C. Pinto Barros

A high-precision numerical calculation is reported for the self-energy correction to the hyperfine splitting and to the bound-electron g factor in hydrogenlike ions with low nuclear charge numbers. The binding nuclear Coulomb field is…

Atomic Physics · Physics 2009-11-13 V. A. Yerokhin , U. D. Jentschura

We study the Allen-Cahn equation with a cubic-quintic nonlinear term and a stochastic $Q$-trace-class stochastic forcing in two spatial dimensions. This stochastic partial differential equation (SPDE) is used as a test case to understand,…

Dynamical Systems · Mathematics 2017-02-28 Christian Kuehn

Gauge theories are the most successful theories for describing nature at its fundamental level, but obtaining analytical or numerical solutions often remains a challenge. We propose an experimental quantum simulation scheme to study ground…

A full three-dimensional model for the calculation of the electronic structure of semiconductor quantum dots (QD) and molecules (QDM) grown on high index surfaces and/or in the presence of an external magnetic field is presented. The strain…

Materials Science · Physics 2007-05-23 V. Mlinar , F. M. Peeters

This letter examines diagrammatic cancellations for Quantum Electrodynamics (QED) in the general linear gauge. These cancellations combine Feynman graphs of various topologies and provide a method to reconstruct the gauge dependence of the…

High Energy Physics - Theory · Physics 2016-12-20 Henry Kißler , Dirk Kreimer

We show that observables in QED-type theories can be realized in terms of a combinatorial structure called chord diagrams. One advantage of this combinatorial representation is that it simplifies the study of the asymptotic behavior of…

High Energy Physics - Theory · Physics 2025-01-10 Ali Assem Mahmoud

Precision tests of QCD perturbation theory are not readily available from experimental data. The main reasons are systematic uncertainties due to the confinement of quarks and gluons, as well as kinematical constraints which limit the…

High Energy Physics - Lattice · Physics 2017-04-05 Stefan Sint

We apply the Basis Light-Front Quantization (BLFQ) approach to the Hamiltonian field theory of Quantum Electrodynamics (QED) in free space. We solve for the mass eigenstates corresponding to an electron interacting with a single photon in…

High Energy Physics - Phenomenology · Physics 2015-05-30 Xingbo Zhao , Heli Honkanen , Pieter Maris , James P. Vary , Stanley J. Brodsky

A perturbative formulation of quantum electrodynamics is given in terms of geometrical invariants of the energy-momentum space, whose geometry is taken to be one of a constant curvature. The construction is relevant for different classes of…

High Energy Physics - Theory · Physics 2024-12-12 Boris Ivetic

We study second-order electromagnetic perturbations in the Schwarzschild background and derive the effective source terms for Regge-Wheeler equation which are quadratic in first-order gravitational and electromagnetic perturbations. In…

General Relativity and Quantum Cosmology · Physics 2025-11-19 Fawzi Aly , Mahmoud A. Mansour , Dejan Stojkovic

We present a method that yields three decoupled covariant equations for three complex scalars, which completely govern electromagnetic perturbations of non-vacuum, locally rotationally symmetric class II spacetimes. One of these equations…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Raymond Burston , Anthony Lun

We derive a linearized kinetic equation for fermionic excitations with an ultrasoft momentum, g^2T, from the Kadanoff-Baym equation in a Yukawa model and quantum electrodynamics (QED) at extremely high T, where g is the coupling constant.…

High Energy Physics - Phenomenology · Physics 2012-06-25 Daisuke Satow , Yoshimasa Hidaka

The numerical value of the fine-structure constant generally leads to small isospin-breaking effects due to electromagnetism in QCD. This smallness complicates determining isospin breaking from lattice QCD computations that include…

High Energy Physics - Lattice · Physics 2017-06-07 Matthew E. Matzelle , Brian C. Tiburzi

A review of the theoretical and experimental values for the charged lepton (electron and muon) anomalous magnetic moment $a_l= (g_l-2)/2$ is presented. Employing the most accurate value for the fine structure constant $\alpha^{-1}=…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alexander Studenikin

The muon anomalous $g$ value, $a_\mu=(g-2)/2$, is calculated up to one-loop level in noncommutative QED. We argue that relativistic muon in E821 experiment nearly always stays at the lowest Landau level. So that spatial coordinates of muon…

High Energy Physics - Theory · Physics 2009-11-07 Xiao-Jun Wang , Mu-Lin Yan

We discuss techniques for evaluating sea quark contributions to hadronic form factors on the lattice and apply these to an exploratory calculation of the strange electromagnetic, axial, and scalar form factors of the nucleon. We employ the…

High Energy Physics - Lattice · Physics 2012-05-23 Ronald Babich , Richard C. Brower , Michael A. Clark , George T. Fleming , James C. Osborn , Claudio Rebbi , David Schaich

QED, Hadronic, and Electroweak Standard Model contributions to the muon anomalous magnetic moment, a_mu = (g_mu-2)/2, are reviewed. Theoretical uncertainties in the prediction a_mu^SM = 116591597(67) times 10^{-11} are scrutinized. Effects…

High Energy Physics - Phenomenology · Physics 2007-05-23 Andrzej Czarnecki , William J. Marciano