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arXiv · hep-th/0004197

Thompson's Method applied to Quantum Electrodynamics (QED)

Claudio Nassif·P. R. Silva
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Abstract

In this work we apply Thompson's method (of the dimensions) to study the quantum electrodynamics (QED). This method can be considered as a simple and alternative way to the renormalisation group (R.G) approach and when applied to QED lagrangian is able to obtain the running coupling constant behavior $α(μ)$, namely the dependence of $α$ on the energy scale. We also obtain the dependence of the mass on the energy scale. The calculations are evaluated just at $d_c=4$, where $d_c$ is the upper critical dimension of the problem, so that we obtain logarithmic behavior both for the coupling $α$ and the mass $m$ on the energy scale $μ$.

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Claudio Nassif, P. R. Silva. 2000-04-27. Thompson's Method applied to Quantum Electrodynamics (QED). https://arxiv.org/abs/hep-th/0004197

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