scholarly journals Enhancement of vacuum polarization effects in a plasma

2007 ◽  
Vol 14 (3) ◽  
pp. 032102 ◽  
Author(s):  
A. Di Piazza ◽  
K. Z. Hatsagortsyan ◽  
C. H. Keitel
Keyword(s):  
Vacuum Polarization ◽  
Polarization Effects

scholarly journals Vacuum polarization effects in elastic scattering of protons by nuclei

1987 ◽  
Vol 197 (4) ◽  
pp. 493-496 ◽  
Author(s):  
N. Ottenstein ◽  
S.J. Wallace ◽  
J.A. Tjon
Keyword(s):  
Elastic Scattering ◽  
Vacuum Polarization ◽  
Polarization Effects

scholarly journals Muon g – 2 theory: The hadronic part

2018 ◽  
Vol 166 ◽  
pp. 00022 ◽  
Author(s):  
Fred Jegerlehner
Keyword(s):  
Light Scattering ◽  
Energy Range ◽  
Lattice Qcd ◽  
Vacuum Polarization ◽  
Recent Progress ◽  
Axial Vector ◽  
Status Report ◽  
Leading Order ◽  
Future Prospects ◽  
Polarization Effects

I present a status report of the hadronic vacuum polarization effects for the muon g–2, to be considered as an update of [1]. The update concerns recent new inclusive R measurements from KEDR in the energy range 1.84 to 3.72 GeV. For the leading order contributions I find [see formula in PDF] based on e+e- data [incl. τ data], [see formula in PDF] (NLO) and [see formula in PDF] (NNLO). Collecting recent progress in the hadronic light-by-light scattering I adopt π0, η, η' [95 ± 12] + axial-vector [8 ± 3] + scalar [-6 ± 1] + π, K loops [-20 ± 5] + quark loops [22 ± 4] + tensor [1 ± 0] + NLO [3 ± 2] which yields [see formula in PDF]. With these updates I find [see formula in PDF] a 4.1 σ deviation. Recent lattice QCD results and future prospects to improve hadronic contributions are discussed.

scholarly journals Nonperturbative Vacuum-Polarization Effects in Proton-Laser Collisions

2008 ◽  
Vol 100 (1) ◽  
Author(s):  
A. Di Piazza ◽  
K. Z. Hatsagortsyan ◽  
C. H. Keitel
Keyword(s):  
Vacuum Polarization ◽  
Polarization Effects

scholarly journals Nonperturbative vacuum polarization effects in two-dimensional supercritical Dirac–Coulomb system I. Vacuum charge density

2018 ◽  
Vol 33 (01) ◽  
pp. 1850004 ◽  
Author(s):  
A. Davydov ◽  
K. Sveshnikov ◽  
Yu. Voronina
Keyword(s):  
Charge Density ◽  
Vacuum Polarization ◽  
Vacuum Energy ◽  
Coulomb System ◽  
Polarization Effects ◽  
Energy Formula ◽  
Present Part ◽  
Induced Charge ◽  
And Behavior ◽  
Charge Formula

Based on the original combination of analytical methods, computer algebra tools and numerical calculations, proposed recently in Refs. 1–3, the nonperturbative vacuum polarization effects in the 2+1[Formula: see text]D supercritical Dirac–Coulomb system with [Formula: see text] are explored. Both the vacuum charge density [Formula: see text] and vacuum energy [Formula: see text] are considered. The main result of the work is that in the overcritical region [Formula: see text] turns out to be a rapidly decreasing function [Formula: see text] with [Formula: see text] and [Formula: see text] being the size of the external Coulomb source. Due to a lot of details of calculation the whole work is divided into two parts I and II. In the present part I, we consider the evaluation and behavior of the vacuum density [Formula: see text], which further is used in part II for evaluation of the vacuum energy, with emphasis on the renormalization, convergence of the partial expansion for [Formula: see text] and behavior of the integral induced charge [Formula: see text] in the overcritical region.

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