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arXiv · 1808.00797

Gaussian as test functions in Operator Valued Distribution formulation of QED

Hasimbola Damo Emile Randriamisy·Raoelina Andriambololona·Hanitriarivo Rakotoson·Ravo Tokiniaina Ranaivoson·Roland Raboanary
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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. We show, with the example of a scalar quantum electrodynamics theory, that Gaussian functions may be used as test functions in this approach. 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 vacuum fluctuation, Feynman propagators and a study about loop convergence with the example of the tadpole diagram are given. The approach is extended to Quantum Electrodynamics. Calculations concerning triangle anomaly and Ward-Takahashi identity are performed in the framework of the method.

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Hasimbola Damo Emile Randriamisy, Raoelina Andriambololona, Hanitriarivo Rakotoson, Ravo Tokiniaina Ranaivoson, Roland Raboanary. 2018-08-02. Gaussian as test functions in Operator Valued Distribution formulation of QED. https://arxiv.org/abs/1808.00797

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