On the Renormalization Constants in Quantum Electrodynamics

2013 ◽  
pp. 349-351
Author(s):  
Cecilia Jarlskog
Keyword(s):  
Quantum Electrodynamics ◽  
Renormalization Constants

The form of the divergencies in quantum electrodynamics

1956 ◽  
Vol 234 (1197) ◽  
pp. 296-300 ◽  
Keyword(s):  
Quantum Electrodynamics ◽  
Functional Equations ◽  
Asymptotic Form ◽  
Particle Charge ◽  
High Energies ◽  
Renormalization Constants

The results of Landau and his collaborators on the asymptotic form of the propagators for high energies and the dependence of the renormalization constants on the cut-off are re­-derived, starting from the functional equations of Gell-Mann & Low. It is proved further that, in electrodynamics, the cut-off cannot be made arbitrarily large, without the ‘bare-particle’ charge becoming imaginary.

On the propagation functions of quantum electrodynamics

1954 ◽  
Vol 225 (1163) ◽  
pp. 535-548 ◽  
Keyword(s):  
Power Series ◽  
Series Expansion ◽  
Fourth Order ◽  
Quantum Electrodynamics ◽  
Power Series Expansion ◽  
Vertex Part ◽  
Self Energy ◽  
One To One ◽  
Renormalization Constants

Schwinger’s equations for the propagation functions of quantum electrodynamics are redefined in a way to give the finite (renormalized) propagation functions without reference to divergent integrals or infinite renormalization constants. This is achieved by incorporating in the equations themselves a limiting process which is an extension of that introduced by Dirac and Heisenberg. The formulation is given independently of the power-series expansion, but the cancellation of singularities is established only in terms of such an expansion. The method is illustrated first by considering the lowest-order approximations. The lowestorder electron self-energy and vertex-part expressions are worked out, and the compensation of the singularities corresponding to the ‘ b ’ divergences is indicated in the fourth order. In the power-series expansion, the prescriptions are in a one-to-one correspondence to those of Dyson. Their formulation independently of this expansion sums up the rules obtained in the different approximations.

Energy, Information, and Superluminal Speed in Quantum Electrodynamics

2020 ◽  
pp. 27-33
Author(s):  
Boris A. Veklenko
Keyword(s):  
Electromagnetic Field ◽  
Perturbation Theory ◽  
Quantum Electrodynamics ◽  
Excited Atom ◽  
Standard Quantum ◽  
Energy Information

Without using the perturbation theory, the article demonstrates a possibility of superluminal information-carrying signals in standard quantum electrodynamics using the example of scattering of quantum electromagnetic field by an excited atom.

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