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Regularization, Renormalization, and Dimensional Analysis: Dimensional Regularization meets Freshman E&M (0812.3578v2)
Published 18 Dec 2008 in hep-ph
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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