Lie-Group Approach to Perturbative Renormalization Group Method
Author(s) -
Shinitiro Goto,
Yuji Masutomi,
Kazuhiro Nozaki
Publication year - 1999
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.102.471
Subject(s) - renormalization group , physics , ordinary differential equation , lie group , mathematical physics , group (periodic table) , simple (philosophy) , partial differential equation , differential equation , mathematical analysis , mathematics , pure mathematics , quantum mechanics , philosophy , epistemology
The Lie-group approach to the perturbative renormalization group (RG) methodis developed to obtain an asymptotic solutions of both autonomous andnon-autonomous ordinary differential equations. Reduction of some partialdifferetial equations to typical RG equations is also achieved by this approachand a simple recipe for providing RG equations is presented.Comment: 32pages, 2figure
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