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arXiv · 0812.3578

Regularization, Renormalization, and Dimensional Analysis: Dimensional Regularization meets Freshman E&M

Fredrick Olness·Randall Scalise
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Abstract

We illustrate the dimensional regularization technique using a simple problem from elementary electrostatics. We contrast this approach with the cutoff regularization approach, and demonstrate that dimensional regularization preserves the translational symmetry. We then introduce a Minimal Subtraction (MS) and a Modified Minimal Subtraction (MS-Bar) scheme to renormalize the result. Finally, we consider dimensional transmutation as encountered in the case of compact extra-dimensions.

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Fredrick Olness, Randall Scalise. 2008-12-18. Regularization, Renormalization, and Dimensional Analysis: Dimensional Regularization meets Freshman E&M. https://doi.org/10.1119/1.3535586

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