Gauge invariance of the vacuum polarization in quantum electrodynamics

1974 ◽  
Vol 10 (3) ◽  
pp. 106-110 ◽  
Author(s):  
M. Danos ◽  
J. Rafelski
Keyword(s):  
Gauge Invariance ◽  
Quantum Electrodynamics ◽  
Vacuum Polarization

Planar generalized electrodynamics for one-loop amplitude in the Heisenberg picture

2021 ◽  
pp. 2150142
Author(s):  
David Montenegro ◽  
B. M. Pimentel
Keyword(s):  
Gauge Invariance ◽  
Quantum Electrodynamics ◽  
Mass Shell ◽  
Natural Extension ◽  
Quantum Model ◽  
Covariant Quantization ◽  
Heisenberg Picture ◽  
Maxwell Electrodynamics ◽  
Loop Amplitude ◽  
The One

We examine the generalized quantum electrodynamics as a natural extension of the Maxwell electrodynamics to cure the one-loop divergence. We establish a precise scenario to discuss the underlying features between photon and fermion where the perturbative Maxwell electrodynamics fails. Our quantum model combines stability, unitarity, and gauge invariance as the central properties. To interpret the quantum fluctuations without suffering from the physical conflicts proved by Haag’s theorem, we construct the covariant quantization in the Heisenberg picture instead of the Interaction one. Furthermore, we discuss the absence of anomalous magnetic moment and mass-shell singularity.

scholarly journals Normalizability analysis of the generalized quantum electrodynamics from the causal point of view

2017 ◽  
Vol 32 (27) ◽  
pp. 1750165 ◽  
Author(s):  
R. Bufalo ◽  
B. M. Pimentel ◽  
D. E. Soto
Keyword(s):  
Perturbation Theory ◽  
Physical Model ◽  
Gauge Invariance ◽  
Quantum Electrodynamics ◽  
Lorentz Invariance ◽  
Point Of View ◽  
Inductive Method ◽  
S Matrix ◽  
Causal Approach

The causal perturbation theory is an axiomatic perturbative theory of the S-matrix. This formalism has as its essence the following axioms: causality, Lorentz invariance and asymptotic conditions. Any other property must be showed via the inductive method order-by-order and, of course, it depends on the particular physical model. In this work we shall study the normalizability of the generalized quantum electrodynamics in the framework of the causal approach. Furthermore, we analyze the implication of the gauge invariance onto the model and obtain the respective Ward–Takahashi–Fradkin identities.

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.

scholarly journals DUFFIN–KEMMER–PETIAU THEORY IN THE CAUSAL APPROACH

2002 ◽  
Vol 17 (02) ◽  
pp. 205-227 ◽  
Author(s):  
J. T. LUNARDI ◽  
B. M. PIMENTEL ◽  
J. S. VALVERDE ◽  
L. A. MANZONI
Keyword(s):  
Compton Scattering ◽  
Gauge Invariance ◽  
Vacuum Polarization ◽  
Effective Theory ◽  
Self Energy ◽  
Vertex Corrections ◽  
Causal Approach ◽  
Scalar Sector ◽  
Natural Way

In this paper we consider the scalar sector of Duffin–Kemmer–Petiau theory in the framework of Epstein–Glaser causal method. We calculate the lowest order distributions for Compton scattering, vacuum polarization, self-energy and vertex corrections. By requiring gauge invariance of the theory we recover, in a natural way, the scalar propagator of the usual effective theory.

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