4782

4501

كارشناسي ارشد

فيزيك

اصفهان:دانشگاه صنعتي اصفهان،دانشكده فيزيك

1388

[ده]،95،[II]ص.: مصور،جدول،نمودار

ص.ع.به فارسي و انگليسي

فيزيك

ID4501

به فارسي و انگليسي: قابل رويت در نسخه ديجيتالي

Method of Non Perturbative Renormalization Group Reza Tavakoli Dinani E mail address tavakoli20@ph iut ac ir Date of Submission 14 3 2009 Department of Physics Isfahan University of Technology Isfahan 84156 83111 IranDegree M Sc Language FarsiSupervisor Dr Farhad ShahbaziAbstract Non perturbative Renormalization Group NPRG is a powerful method to describe the critical behaviorsof the physical systems It s formalism and applications are developing however there are some di culties tosolve its equations analytically Therefore we must solve them numerically In this thesis we will introduceNPRG and then explain numerical algorithms to solve NPRG equations We solve them for O N model N 1 and derive the xed points and the critical exponents with the help of numerical algorithms Existenceof Gaussian and Wilson Fisher xed points are con rmed by our results and we get the values of 0 324 0 62and 1 263 respectively for the critical exponents of and 0 041 for the anomalous dimension Thesevalues are in good agreement with other methods This agreement encourages us to apply NPRG for othermodels and physical systems Key Words Non Perturbative Renormalization Group E ective Average Action O N model Criticalphenomena

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جواد هاشمي فر، كيوان آقابابايي ساماني