Parametric formula for the sixth-order vacuum polarization contribution in quantum electrodynamics

1983 ◽  
Vol 27 (4) ◽  
pp. 853-866 ◽  
Author(s):  
T. Kinoshita ◽  
W. B. Lindquist
Keyword(s):  
Quantum Electrodynamics ◽  
Vacuum Polarization ◽  
Sixth Order ◽  
Polarization Contribution

scholarly journals The hadronic vacuum polarization contribution to $(g-2)_\mu$ from $2+1$ flavours of O($a$) improved Wilson quarks

2019 ◽  
Author(s):  
Hartmut Wittig ◽  
Antoine Gerardin ◽  
Tim Harris ◽  
Georg von Hippel ◽  
Ben Hörz, ◽  
...  
Keyword(s):  
Vacuum Polarization ◽  
Polarization Contribution

scholarly journals Energy spectra of muonic atoms in quantum electrodynamics

2019 ◽  
Vol 204 ◽  
pp. 05007 ◽  
Author(s):  
A. E. Dorokhov ◽  
A. A. Krutov ◽  
A. P. Martynenko ◽  
F. A. Martynenko ◽  
O. S. Sukhorukova
Keyword(s):  
Experimental Data ◽  
Perturbation Theory ◽  
Energy Spectrum ◽  
Hyperfine Structure ◽  
Nuclear Structure ◽  
Quantum Electrodynamics ◽  
Vacuum Polarization ◽  
Energy Spectra ◽  
Hyperfine Splittings ◽  
S States

Vacuum polarization, nuclear structure and recoil, radiative corrections to the hyperfine structure of S-states in muonic ions of lithium, beryllium and boron are calculated on the basis of quasipotential method in quantum electrodynamics. We consider contributions in first and second orders of perturbation theory which have the order α5 and α6 in the energy spectrum. Total values of hyperfine splittings are obtained which can be used for a comparison with future experimental data.

scholarly journals Scalar quantum electrodynamics via Duffin–Kemmer–Petiau gauge theory in the Heisenberg picture: Vacuum polarization

2018 ◽  
Vol 33 (10) ◽  
pp. 1850059 ◽  
Author(s):  
J. Beltran ◽  
N. T. Maia ◽  
B. M. Pimentel
Keyword(s):  
Gauge Theory ◽  
Quantum Electrodynamics ◽  
Vacuum Polarization ◽  
External Electromagnetic Field ◽  
Charged Scalar ◽  
Heisenberg Picture ◽  
Perturbative Method ◽  
Scalar Quantum ◽  
Charge Renormalization ◽  
Vacuum Polarization Tensor

Scalar Quantum Electrodynamics is investigated in the Heisenberg picture via the Duffin-Kemmer-Petiau gauge theory. On this framework, a perturbative method is used to compute the vacuum polarization tensor and its corresponding induced current for the case of a charged scalar field in the presence of an external electromagnetic field. Charge renormalization is brought into discussion for the interpretation of the results for the vacuum polarization.

Vacuum polarization of generalized quantum electrodynamics in the Heisenberg picture

2020 ◽  
Vol 35 (04) ◽  
pp. 2050012
Author(s):  
David Montenegro
Keyword(s):  
Quantum Electrodynamics ◽  
Vacuum Polarization ◽  
General Structure ◽  
Higher Order ◽  
Polarization Tensor ◽  
Induced Current ◽  
Heisenberg Picture ◽  
Qualitative And Quantitative ◽  
Physical Implication ◽  
Charge Renormalization

In this work, we consider the generalized quantum electrodynamics proposed by Podolsky in Heisenberg picture via Källén methodology. We investigate the effects of higher-order derivatives to understand the qualitative and quantitative aspects of vacuum polarization. In addition, the most general structure of induced current and polarization tensor that emerge naturally by a perturbative scheme “à la” Källén is also obtained. Afterward, we discuss the physical implication of charge renormalization in the perspective of unitary and stable Podolsky theory.

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