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

@article{citeulike:3809380, 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.}, archivePrefix = {arXiv}, author = {Olness, Fredrick and Scalise, Randall}, citeulike-article-id = {3809380}, citeulike-linkout-0 = {http://arxiv.org/abs/0812.3578}, citeulike-linkout-1 = {http://arxiv.org/pdf/0812.3578}, day = {18}, eprint = {0812.3578}, keywords = {paris, pedagogical, renormalization}, month = {Dec}, posted-at = {2008-12-19 09:05:33}, priority = {2}, title = {Regularization, Renormalization, and Dimensional Analysis: Dimensional Regularization meets Freshman E\&M}, url = {http://arxiv.org/abs/0812.3578}, year = {2008} }

TY - JOUR ID - citeulike:3809380 L3 - citeulike-article-id:3809380 N2 - 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. TI - Regularization, Renormalization, and Dimensional Analysis: Dimensional Regularization meets Freshman E&M KW - paris KW - pedagogical KW - renormalization AU - Olness, Fredrick AU - Scalise, Randall PY - 2008/Dec/18/ UR - http://arxiv.org/abs/0812.3578 ER -