The Bogoliubov renormalization group and solution symmetry in mathematical physics
نویسندگان
چکیده
منابع مشابه
The Bogoluibov Renormalization Group in Theoretical and Mathematical Physics
This text follows the line of a talk on Ringberg symposium dedicated to Wolfhart Zimmer-mann 70th birthday. The historical overview (Part 1) partially overlaps with corresponding text of my previous commemorative paper – see Ref. [61] in the list. At the same time second part includes some recent results in QFT (Sect. 2.1) and summarize (Sect. 2.4) an impressive progress of the " QFT renormaliz...
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We begin with personal notes describing the atmosphere of ”Bogoliubov renormalization group” birth. Then we expose the history of RG discovery in the QFT and of the RG method devising in the mid-fifties. The third part is devoted to proliferation of RG ideas into diverse parts of theoretical physics. We conclude with discussing the perspective of RG method further development and its applicatio...
متن کاملTHE BOGOLIUBOV RENORMALIZATION GROUP Second English printing
We begin with personal notes describing the atmosphere of " Bogoliubov renormalization group " birth. Then we expose the history of RG discovery in the QFT and of the RG method devising in the mid-fifties. The third part is devoted to proliferation of RG ideas into diverse parts of theoretical physics. We conclude with discussing the perspective of RG method further development and its applicat...
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These notes aim to provide a concise pedagogical introduction to some important applications of the renormalization group in statistical physics. After briefly reviewing the scaling approach and Ginzburg–Landau theory for critical phenomena near continuous phase transitions in thermal equilibrium, Wilson’s momentum shell renormalization group method is presented, and the critical exponents for ...
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We discuss the physics of the Efimov effect from a renormalization group viewpoint using the concept of limit cycles. Furthermore, we discuss recent experiments providing evidence for the Efimov effect in ultracold gases and its relevance for nuclear systems.
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ژورنال
عنوان ژورنال: Physics Reports
سال: 2001
ISSN: 0370-1573
DOI: 10.1016/s0370-1573(01)00039-4