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by: Arvilla Bernhard
Arvilla Bernhard
GPA 3.97


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About this Document

Class Notes
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This 9 page Class Notes was uploaded by Arvilla Bernhard on Friday September 4, 2015. The Class Notes belongs to PHYSICS 241A at University of California - Los Angeles taught by Staff in Fall. Since its upload, it has received 95 views. For similar materials see /class/177941/physics-241a-university-of-california-los-angeles in Physics 2 at University of California - Los Angeles.


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Date Created: 09/04/15
mm um um oLascorsuaackausmen muse on Why we need Renorm aliz atiou gt3 Three stages of RC calculatib n gtIlt Physical interpretations of gt11 An example applicatiun if i 53 Conclusion mupwwmc u BEcKIOFuls areen 901256 90 Q Ultravialate divergence in calculating A A question Is it possible to choose for each cutoffA a corresponding coupling constant aA so that the physical quantities come out to be independent ofA A Central problem in RG function idol 3a E Where mm wm um um suam mumm muse on a Elimate the fast mode Consider the partition function Z D k65 k Split the eld 45k and rewrite action S kas lt k 45gt k SW10 N 45k for k E 0As 45k for k E A57A Si lt7 45gt Soi lti Soi gti SI lt7 gti D ltD gteSo lteSo gteSI lt gt D lteso lt D gteSo gteSI lt gt D ltes lt1 mm wm Wm oust suam mmmn muse on ltgt Elimate the fast mode ctd Where the new action S 454 is de ned as es w esm D gtesgwgt1esd lt gt1 s s esowdfp gte 0 gte 1 lt gt1 qu 630 fp gtesowgt1 gt es ltltesl lt gtgt0gt ltgt Rescale momenta k sk Idemx 0 Introduce new eld 45 k wks 145k mm wm um um suam owlScreen muse on A map between actions in a coupling constants space gtIlt Fixed points under this RG transformation gtIlt Physicalinterpretations Physical parameters transform as k gt k ks x gt zlxs H 8 at xed points mm wm Wm oust suam mmmn muse on Consider mmupwum mawsmycmmmmn wow 9 m to Iecpverithe form dfmpe ufbgc mmupwum mawsmycmmmmn wow 9 m The results for renormalization of coupling constants gtIlt The 3 function simply let 5 1 dt 7 0 0 2 no 1 7 1 5 70126 2 82 Bug ug i lns d V g ug E 2mm dug 7 iBuE dt 16w2 based on this equation We are able to analysis the xed points and corre sponding physical interpretations mm wm um um suam owlScreen muse on


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