A Relativistic Consideration of Kinematic Magnetic and Electric Fields
Vladimir Alexandr Leus,
Stephen Taylor
Issue:
Volume 4, Issue 4, December 2018
Pages:
91-97
Received:
22 October 2018
Accepted:
8 November 2018
Published:
26 December 2018
DOI:
10.11648/j.ijamtp.20180404.11
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Abstract: Kinematic fields arise due to a uniform movement (constant velocity) of a permanent magnet or an electric charge. Previous experimental and theoretical results for the classical approximation demonstrate that kinematic fields do not propagate in a wave-like manner, but move like a rigid body synchronously with their source. In this paper a further analysis of kinematic fields, taking into account special relativity theory is presented. Despite the appearance of a new feature, the previous conclusions are upheld for the relativistic case. A complete mathematical study irrefutably proves the non-wave nature of the field movement along with its carrier.
Abstract: Kinematic fields arise due to a uniform movement (constant velocity) of a permanent magnet or an electric charge. Previous experimental and theoretical results for the classical approximation demonstrate that kinematic fields do not propagate in a wave-like manner, but move like a rigid body synchronously with their source. In this paper a further ...
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Gaussian as Test Functions in Operator Valued Distribution Formulation of QED
Hasimbola Damo Emile Randriamisy,
Raoelina Andriambololona,
Hanitriarivo Rakotoson,
Ravo Tokiniaina Ranaivoson,
Roland Raboanary
Issue:
Volume 4, Issue 4, December 2018
Pages:
98-104
Received:
9 November 2018
Accepted:
3 December 2018
Published:
25 January 2019
DOI:
10.11648/j.ijamtp.20180404.12
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Abstract: As shown by Epstein and Glaser, the operator valued distribution (OPVD) formalism permits to obtain a non-standard regularization scheme which leads to a divergences-free quantum field theory. The present formulation gives a tool to calculate finite scattering matrix without adding counter-terms. After a short recall about the OPVD formalism in 3+1-dimensions, Gaussian functions and Harmonic Hermite-Gaussian functions are used as test functions. The field resulting from this approach obeys the Klein-Gordon equation. The vacuum fluctuation calculation then gives a result regularized by the Gaussian factor. The example of scalar quantum electrodynamics theory shows that Gaussian functions may be used as test functions in this approach. The result shows that the scale of the theory is described by a factor arising from Heisenberg uncertainties. The Feynman propagators and a study on loop convergence with the example of the tadpole diagram are given. The formulation is extended to Quantum Electrodynamics. Triangle diagrams anomaly are calculated efficiently. In the same approach, using Lagrange formulae to regularize the singular distribution involved in the scattering amplitude gives a good way to avoid infinities. After applying Lagrange formulae, the test function could be reduced to unity since the amplitude is regular. Ward-Takahashi identity is calculated with this method too and this shows that the symmetries of the theory are unbroken.
Abstract: As shown by Epstein and Glaser, the operator valued distribution (OPVD) formalism permits to obtain a non-standard regularization scheme which leads to a divergences-free quantum field theory. The present formulation gives a tool to calculate finite scattering matrix without adding counter-terms. After a short recall about the OPVD formalism in 3+1...
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