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In this work we develop and implement a method for calculation of the Bethe logarithm for many-electron atoms. This quantity is required to evaluate the leading-order quantum electrodynamics correction to the energy and properties of atomic…

Atomic Physics · Physics 2023-11-21 Michał Lesiuk , Jakub Lang

Light-Front quantization is one of the most promising and physical tools towards studying deep inelastic scattering on the basis of quark gluon degrees of freedom. The simplified vacuum structure (nontrivial vacuum effects can only appear…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Burkardt

An earlier paper gave a means of calculating the Lamb shift via Feynman diagrams. Here we apply the same techniques to TQFT.

General Mathematics · Mathematics 2023-08-14 Brian Jefferies

We find a correspondence between semiclassical QCD quantized on the light-front and a dual gravity model in anti--de Sitter (AdS) space, thus providing an initial approximation to QCD in its strongly coupled regime. This correspondence --…

High Energy Physics - Phenomenology · Physics 2015-05-18 Guy F. de Teramond , Stanley J. Brodsky

The light-front quantization of gauge theories in light-cone gauge provides a frame-independent wavefunction representation of relativistic bound states, simple forms for current matrix elements, explicit unitary, and a trivial vacuum. The…

High Energy Physics - Theory · Physics 2015-06-26 Stanley J. Brodsky

The systematic approach to study bound states in quantum chromodynamics is presented. The method utilizes nonperturbative flow equations in the confining background, that makes possible to perform perturbative renormalization and to bring…

High Energy Physics - Phenomenology · Physics 2010-12-13 Elena Gubankova , Chueng-Ryong Ji , Stephen R. Cotanch

The Lamb shift, an energy shift arising from the presence of the electromagnetic vacuum, has been observed in various quantum systems and established as the part of the energy shift independent of the environmental photon number. However,…

Light-front wave functions play a fundamental role in the light-front quantization approach to QCD and hadron structure. However, a naive implementation of the light-front quantization suffers from various subtleties including the…

High Energy Physics - Phenomenology · Physics 2022-05-04 Xiangdong Ji , Yizhuang Liu

A scheme is developed which shows how one would, given a light-front Hamiltonian for QCD, extract the $Q\overline{Q}$ potential, i.e. the quantity which corresponds to the potential between two infinitely heavy quarks in a rest frame, from…

High Energy Physics - Phenomenology · Physics 2016-09-01 Matthias Burkardt

An introductory overview on Light-Front quantization, with some emphasis on recent achievements, is given. Light-Front quantization is the most promising and physical tool to study deep inelastic scattering on the basis of quark gluon…

High Energy Physics - Phenomenology · Physics 2014-11-17 Matthias Burkardt

We examine QED(3+1) quantised in the `front form' with finite `volume' regularisation, namely in Discretised Light-Cone Quantisation. Instead of the light-cone or Coulomb gauges, we impose the light-front Weyl gauge $A^-=0$. The Dirac…

High Energy Physics - Theory · Physics 2009-10-30 J. Przeszowski , H. W. L. Naus , A. C. Kalloniatis

Theoretical predictions for the Lamb shift in helium are limited by unknown quantum electrodynamic effects of the order $\alpha^7m$, where $\alpha$ is the fine-structure constant and $m$ is the electron mass. We make an important step…

High Energy Physics - Phenomenology · Physics 2021-02-16 Vojtěch Patkóš , Vladimir A. Yerokhin , Krzysztof Pachucki

A calculation valid to all orders in the nuclear-strength parameter is presented for the two-loop Lamb shift, notably for the two-loop self-energy correction, to the 2p-2s transition energies in heavy Li-like ions. The calculation removes…

Atomic Physics · Physics 2009-11-13 V. A. Yerokhin , P. Indelicato , V. M. Shabaev

Proton structure effects in hydrogenic bound states are analyzed using nonrelativistic QED effective field theory. Implications for the Lamb shift in muonic hydrogen are discussed. Model-dependent assumptions in previous analyses are…

High Energy Physics - Phenomenology · Physics 2013-05-29 Richard J. Hill , Gil Paz

We derive a new relation between the observed Lamb shift energies of hydrogen and muonium atoms. The relation is based on the non-relativistic description of the Lamb shift, and the proper treatment of the reduced mass of electron and…

Based on the recently developed light-front similarity renormalization group approach and the light-front heavy quark effective theory, we derive analytically from first-principles QCD a heavy quark light-front Hamiltonian which contains…

High Energy Physics - Phenomenology · Physics 2011-01-25 Wei-Min Zhang

Light-front formulations of quantum field theories have many advantages for computing electroweak matrix elements of strongly interacting systems and other quantities that are used to study hadronic structure. The theory can be formulated…

High Energy Physics - Phenomenology · Physics 2023-04-14 Wayne Polyzou

A comprehensive theory of the Lamb shift in light muonic atoms such as $\mu$H, $\mu$D, $\mu^3$He$^+$, and $\mu^4$He$^+$ is presented, with all quantum electrodynamic corrections included at the precision level constrained by the uncertainty…

Atomic Physics · Physics 2024-02-22 K. Pachucki , V. Lensky , F. Hagelstein , S. S. Li Muli , S. Bacca , R. Pohl

We present the QCD and QED corrections to the fermion-loop contributions to light-by-light scattering, gamma gamma to gamma gamma, in the ultrarelativistic limit where the kinematic invariants are much larger than the masses of the charged…

High Energy Physics - Phenomenology · Physics 2010-02-03 Z. Bern , A. De Freitas , L. Dixon , A. Ghinculov , H. L. Wong

Recently the muonic hydrogen lamb shift has been measured with unprecedented accuracy, allowing for a precise determination of the proton radius. This determination is 5 sigma away from the previous CODATA value obtained from (mainly) the…

High Energy Physics - Phenomenology · Physics 2011-08-08 Antonio Pineda
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