Regularization, Renormalization, and Dimensional Analysis: Dimensional Regularization meets Freshman E&M
High Energy Physics - Phenomenology
2017-08-22 v2
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.
Cite
@article{arxiv.0812.3578,
title = {Regularization, Renormalization, and Dimensional Analysis: Dimensional Regularization meets Freshman E&M},
author = {Fredrick Olness and Randall Scalise},
journal= {arXiv preprint arXiv:0812.3578},
year = {2017}
}
Comments
LaTeX 7 pages. This work is based on lectures presented at the CTEQ Summer School on QCD Analysis and Phenomenology. Version 2 includes updates to match published version, and an enhanced appendix